Advanced School and Workshop on Singularities in Geometry and Topology | (smr 1671)
Go to day
-
-
08:30 - 11:30
REGISTRATION ONLY.
Due to Italian National Holiday, Administrative Formalities have been postponed on Tuesday, 16 August morning
-
08:30
REGISTRATION ONLY.
Due to Italian National Holiday, Administrative Formalities have been postponed on Tuesday, 16 August morning
3h0'
-
08:30
REGISTRATION ONLY.
Due to Italian National Holiday, Administrative Formalities have been postponed on Tuesday, 16 August morning
3h0'
-
12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
-
14:00 - 14:15
OPENING CEREMONY
-
14:00
OPENING CEREMONY
15'
Speaker: K.R. Sreenivasan (ICTP Director, Trieste, Italy)
-
14:00
OPENING CEREMONY
15'
-
14:15 - 15:15
Geometry and Topology of Singularities
-
14:15
Geometry and Topology of Singularities
1h0'
Speaker: Le Dung Trang and David Massey (ICTP, Trieste, Italy and Northeastern University, Boston, USA) Material: lecture notes
-
14:15
Geometry and Topology of Singularities
1h0'
-
15:15 - 15:30
Break
- 15:15 Break 15'
-
15:30 - 17:00
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
-
15:30
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
1h30'
Speaker: Jean-Paul Brasselet (Institut de Mathematiques de Luminy, Marseille, France) Material: lecture notes
-
15:30
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
1h30'
-
08:30 - 11:30
REGISTRATION ONLY.
Due to Italian National Holiday, Administrative Formalities have been postponed on Tuesday, 16 August morning
-
-
08:30 - 10:30
ADMINISTRATIVE FORMALITIES
-
08:30
ADMINISTRATIVE FORMALITIES
2h0'
-
08:30
ADMINISTRATIVE FORMALITIES
2h0'
-
10:30 - 11:30
Introduction to Complex Geometry
-
10:30
Introduction to Complex Geometry
1h0'
Speaker: Tatsuo Suwa (Niigata University, Niigata, Japan) Material: lecture notes
-
10:30
Introduction to Complex Geometry
1h0'
-
11:30 - 12:30
Geometry and Topology of Singularities
-
11:30
Geometry and Topology of Singularities
1h0'
Speaker: Le Dung Trang and David Massey (ICTP, Trieste, Italy and Northeastern University, Boston, USA) Material: lecture notes
-
11:30
Geometry and Topology of Singularities
1h0'
-
12:30 - 14:00
Lunch Break
- 12:30 Lunch Break 1h30'
-
14:00 - 15:00
Introduction to Real Geometry
-
14:00
Introduction to Real Geometry
1h0'
Speaker: Michel Coste (Université de Rennes, Rennes, France) Material: lecture notes
-
14:00
Introduction to Real Geometry
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Introduction to Basic Toric Geometry
-
15:15
Introduction to Basic Toric Geometry
1h0'
Speaker: Karl Fieseler and Gottfried Barthel (University of Uppsala, Sweden and Universitaet Konstanz, Germany) Material: lecture notes
-
15:15
Introduction to Basic Toric Geometry
1h0'
-
16:15 - 16:30
Break
- 16:15 Break 15'
-
16:30 - 17:00
Working Groups - Seminars
-
16:30
Working Groups - Seminars
30'
-
16:30
Working Groups - Seminars
30'
-
08:30 - 10:30
ADMINISTRATIVE FORMALITIES
-
-
08:30 - 09:45
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
-
08:30
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
1h15'
Speaker: Jean-Paul Brasselet (Institut de Mathematiques de Luminy, Marseille, France) Material: lecture notes
-
08:30
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
1h15'
-
10:00 - 11:00
Introduction to Complex Geometry
-
10:00
Introduction to Complex Geometry
1h0'
Speaker: Tatsuo Suwa (Niigata University, Niigata, Japan) Material: lecture notes
-
10:00
Introduction to Complex Geometry
1h0'
-
11:00 - 11:15
Break
- 11:00 Break 15'
-
11:15 - 12:15
Geometry and Topology of Singularities
-
11:15
Geometry and Topology of Singularities
1h0'
Speaker: Le Dung Trang and David Massey (ICTP, Trieste, Italy and Northeastern University, Boston, USA) Material: lecture notes
-
11:15
Geometry and Topology of Singularities
1h0'
-
12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
-
14:00 - 15:00
Introduction to Basic Toric Geometry
-
14:00
Introduction to Basic Toric Geometry
1h0'
Speaker: Karl Fieseler and Gottfried Barthel (University of Uppsala, Sweden and Universitaet Konstanz, Germany) Material: lecture notes
-
14:00
Introduction to Basic Toric Geometry
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Introduction to Real Geometry
-
15:15
Introduction to Real Geometry
1h0'
Speaker: Michel Coste (Université de Rennes, Rennes, France) Material: lecture notes
-
15:15
Introduction to Real Geometry
1h0'
-
16:15 - 16:30
Break
- 16:15 Break 15'
-
16:30 - 17:00
Working Groups - Seminars
-
16:30
Working Groups - Seminars
30'
-
16:30
Working Groups - Seminars
30'
-
08:30 - 09:45
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
-
-
08:30 - 09:45
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
-
08:30
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
1h15'
Speaker: Jean-Paul Brasselet (Institut de Mathematiques de Luminy, Marseille, France) Material: lecture notes
-
08:30
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
1h15'
-
10:00 - 11:00
Introduction to Complex Geometry
-
10:00
Introduction to Complex Geometry
1h0'
Speaker: Tatsuo Suwa (Niigata University, Niigata, Japan) Material: lecture notes
-
10:00
Introduction to Complex Geometry
1h0'
-
11:00 - 11:15
Break
- 11:00 Break 15'
-
11:15 - 12:15
On Milnor's Fibration Theorem
-
11:15
On Milnor's Fibration Theorem
1h0'
Speaker: José Seade (Universidad Nacional Autónoma de México, Cuernavaca, México) Material: lecture notes
-
11:15
On Milnor's Fibration Theorem
1h0'
-
12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
-
14:00 - 15:00
Introduction to Real Geometry
-
14:00
Introduction to Real Geometry
1h0'
Speaker: Michel Coste (Université de Rennes, Rennes, France) Material: lecture notes
-
14:00
Introduction to Real Geometry
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Introduction to Basic Toric Geometry
-
15:15
Introduction to Basic Toric Geometry
1h0'
Speaker: Karl Fieseler and Gottfried Barthel (University of Uppsala, Sweden and Universitaet Konstanz, Germany) Material: lecture notes
-
15:15
Introduction to Basic Toric Geometry
1h0'
-
16:15 - 16:30
Break
- 16:15 Break 15'
-
16:30 - 17:00
Working Groups - Seminars
-
16:30
Working Groups - Seminars
30'
-
16:30
Working Groups - Seminars
30'
-
08:30 - 09:45
Poincaré-Hopf Type Theorems on Singular Varieties - Characteristic Classes
-
-
08:30 - 09:30
On Milnor's fibration Theorem
-
08:30
On Milnor's fibration Theorem
1h0'
Speaker: José Seade (Universidad Nacional Autónoma de México, Cuernavaca, Mexico) Material: lecture notes
-
08:30
On Milnor's fibration Theorem
1h0'
-
09:30 - 09:45
Break
- 09:30 Break 15'
-
09:45 - 10:45
Introduction to Complex Geometry
-
09:45
Introduction to Complex Geometry
1h0'
Speaker: Tatsuo Suwa (Niigata University, Niigata, Japan) Material: lecture notes
-
09:45
Introduction to Complex Geometry
1h0'
-
10:45 - 11:00
Break
- 10:45 Break 15'
-
11:00 - 12:00
Geometry and Topology of Singularities
-
11:00
Geometry and Topology of Singularities
1h0'
Speaker: Le Dung Trang and David Massey (ICTP, Trieste, Italy and Northeastern University, Boston, USA) Material: lecture notes
-
11:00
Geometry and Topology of Singularities
1h0'
-
12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
-
14:00 - 15:00
Introduction to Basic Toric Geometry
-
14:00
Introduction to Basic Toric Geometry
1h0'
Speaker: Karl Fieseler and Gottfried Barthel (University of Uppsala, Sweden and Universitaet Konstanz, Germany) Material: lecture notes
-
14:00
Introduction to Basic Toric Geometry
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Introduction to Real Geometry
-
15:15
Introduction to Real Geometry
1h0'
Speaker: Michel Coste (Université de Rennes, Rennes, France) Material: lecture notes
-
15:15
Introduction to Real Geometry
1h0'
-
16:15 - 16:30
Break
- 16:15 Break 15'
-
16:30 - 17:00
Working Groups - Seminars
-
16:30
Working Groups - Seminars
30'
-
16:30
Working Groups - Seminars
30'
-
08:30 - 09:30
On Milnor's fibration Theorem
-
-
08:45 - 09:45
Equisingularity theory
-
08:45
Equisingularity theory
1h0'
Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France) Material: lecture notes
-
08:45
Equisingularity theory
1h0'
-
09:45 - 10:00
Break
- 09:45 Break 15'
-
10:00 - 11:00
Topology of the complements to curves and hypersurfaces
-
10:00
Topology of the complements to curves and hypersurfaces
1h0'
Speaker: A. Libgober and M. Oka (University of Illinois at Chicago, USA and Tokyo University of Science, Japan) Material: lecture notes
-
10:00
Topology of the complements to curves and hypersurfaces
1h0'
-
11:00 - 11:15
Break
- 11:00 Break 15'
-
11:15 - 12:15
The proof of resolution of singularities in characteristic zero
-
11:15
The proof of resolution of singularities in characteristic zero
1h0'
Speaker: H. Hauser (Leopold-Franzens-Universitaet Innsbruk, Austria) Material: lecture notes
-
11:15
The proof of resolution of singularities in characteristic zero
1h0'
-
12:15 - 14:00
Lunch Break
- 12:15 Lunch Break 1h45'
-
14:00 - 15:00
Surface singularities of splice type
-
14:00
Surface singularities of splice type
1h0'
Speaker: W. Neumann (Columbia University, New York, USA) Material: lecture notes
-
14:00
Surface singularities of splice type
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Invariants of normal surface singularities
-
15:15
Invariants of normal surface singularities
1h0'
Speaker: A. Nemethi (Hungarian Academy of Sciences, Hungary)
-
15:15
Invariants of normal surface singularities
1h0'
-
15:15 - 16:15
Lagrangian and legendrian singularities
(Lecture room B, Main Building)
-
15:15
Lagrangian and legendrian singularities
(Lecture room B, Main Building)
1h0'
Speaker: V. Goryunov and V. Zakalyukin (University of Liverpool, UK. And Moscow Aviation Institute, Russia) Material: lecture notes
-
15:15
Lagrangian and legendrian singularities
(Lecture room B, Main Building)
1h0'
-
16:15 - 16:45
Working groups - Seminars
-
16:15
Working groups - Seminars
30'
-
16:15
Working groups - Seminars
30'
-
08:45 - 09:45
Equisingularity theory
-
-
08:45 - 09:45
Equisingularity theory
-
08:45
Equisingularity theory
1h0'
Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France) Material: lecture notes
-
08:45
Equisingularity theory
1h0'
-
09:45 - 10:00
Break
- 09:45 Break 15'
-
10:00 - 11:00
Topology of the complements to curves and hypersurfaces
-
10:00
Topology of the complements to curves and hypersurfaces
1h0'
Speaker: A. Libgober and M. Oka (University of Illinois at Chicago, USA and Tokyo University of Science, Japan) Material: lecture notes
-
10:00
Topology of the complements to curves and hypersurfaces
1h0'
-
11:00 - 11:15
Break
- 11:00 Break 15'
-
11:15 - 12:15
The proof of resolution of singularities in characteristic zero
-
11:15
The proof of resolution of singularities in characteristic zero
1h0'
Speaker: H. Hauser (Leopold-Franzens-Universitaet Innsbruck, Austria) Material: lecture notes
-
11:15
The proof of resolution of singularities in characteristic zero
1h0'
-
12:15 - 14:00
Lunch Break
- 12:15 Lunch Break 1h45'
-
14:00 - 15:00
Hodge mixed structures
-
14:00
Hodge mixed structures
1h0'
Speaker: J. Steenbrink (Radboud University Nijmegen, Netherlands) Material: lecture notes
-
14:00
Hodge mixed structures
1h0'
-
14:00 - 15:00
Monodromy of isolated singularities (Lecture room B, Main building)
- 14:00 Monodromy of isolated singularities (Lecture room B, Main building) 1h0'
-
15:15 - 16:15
Lagrangian and legendrian singularities
-
15:15
Lagrangian and legendrian singularities
1h0'
Speaker: V. Goryunov and V. Zakalyukin (University of Liverpool, UK. And Moscow Aviation Institute, Russia) Material: lecture notes
-
15:15
Lagrangian and legendrian singularities
1h0'
-
15:15 - 16:15
Invariants of normal surface singularities
(Lecture room B, Main Building)
-
15:15
Invariants of normal surface singularities
(Lecture room B, Main Building)
1h0'
Speaker: A. Nemethi (Hungarian Academy of Sciences, Hungary)
-
15:15
Invariants of normal surface singularities
(Lecture room B, Main Building)
1h0'
-
16:15 - 16:30
Break
- 16:15 Break 15'
-
16:30 - 17:00
Working groups - Seminars
-
16:30
Working groups - Seminars
30'
-
16:30
Working groups - Seminars
30'
-
08:45 - 09:45
Equisingularity theory
-
-
08:45 - 09:45
Characteristic classes and Thom polynomials
-
08:45
Characteristic classes and Thom polynomials
1h0'
Speaker: T. Ohmoto (Hokkaido University, Sapporo, Japan) Material: lecture notes
-
08:45
Characteristic classes and Thom polynomials
1h0'
-
09:45 - 10:00
Break
- 09:45 Break 15'
-
10:00 - 11:00
Equisingularity theory
-
10:00
Equisingularity theory
1h0'
Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France) Material: lecture notes
-
10:00
Equisingularity theory
1h0'
-
11:00 - 11:15
Break
- 11:00 Break 15'
-
11:15 - 12:15
Surface singularities of splice type
-
11:15
Surface singularities of splice type
1h0'
Speaker: W. Neumann (Columbia University, New York, USA) Material: lecture notes
-
11:15
Surface singularities of splice type
1h0'
-
12:15 - 14:00
Lunch Break
- 12:15 Lunch Break 1h45'
-
14:00 - 15:00
Hodge mixed structures
(Lecture room B, Main Building)
-
14:00
Hodge mixed structures
(Lecture room B, Main Building)
1h0'
Speaker: J. Steenbrink (Radboud University Nijmegen, Netherlands) Material: lecture notes
-
14:00
Hodge mixed structures
(Lecture room B, Main Building)
1h0'
-
14:00 - 15:00
Monodromy of isolated singularities
- 14:00 Monodromy of isolated singularities 1h0'
-
15:15 - 16:15
A resolution of singularities of a toric variety and a non-degenerate hypersurface singularities
-
15:15
A resolution of singularities of a toric variety and a non-degenerate hypersurface singularities
1h0'
Speaker: S. Ishii (Tokyo Institute of Technology, Tokio, Japan)
-
15:15
A resolution of singularities of a toric variety and a non-degenerate hypersurface singularities
1h0'
-
16:15 - 16:45
Working groups - Seminars
-
16:15
Working groups - Seminars
30'
-
16:15
Working groups - Seminars
30'
-
08:45 - 09:45
Characteristic classes and Thom polynomials
-
-
08:45 - 09:45
Computational approach to singularities
-
08:45
Computational approach to singularities
1h0'
Speaker: A. Fruhbis-Kruger (Universitaet Kaiserslautern, Kaiserslautern, Germany) Material: lecture notes
-
08:45
Computational approach to singularities
1h0'
-
09:45 - 10:00
Break
- 09:45 Break 15'
-
10:00 - 11:00
Computational approach to singularities
-
10:00
Computational approach to singularities
1h0'
Speaker: A. Fruhbis-Kruger (Universitaet Kaiserslautern, Kaiserslautern, Germany) Material: lecture notes
-
10:00
Computational approach to singularities
1h0'
-
11:15 - 12:15
Metric theory of singularities (Lecture room D, Main building)
-
11:15
Metric theory of singularities (Lecture room D, Main building)
1h0'
Speaker: L. Birbrair (Universidade Federal do Ceara, Brazil) Material: lecture notes
-
11:15
Metric theory of singularities (Lecture room D, Main building)
1h0'
-
11:15 - 12:15
Topology of degeneration of Riemann surfaces
- 11:15 Topology of degeneration of Riemann surfaces 1h0'
-
12:15 - 14:00
Break Lunch
- 12:15 Break Lunch 1h45'
-
14:00 - 15:00
McKay correspondence for quotient surface singularities
-
14:00
McKay correspondence for quotient surface singularities
1h0'
Speaker: O. Riemenschneider (Universitaet Hamburg, Hamburg, Germany) Material: lecture notes
-
14:00
McKay correspondence for quotient surface singularities
1h0'
-
14:00 - 15:00
Polar quotients and Jacobiens quotients (Lecture room B, Main building)
-
14:00
Polar quotients and Jacobiens quotients (Lecture room B, Main building)
1h0'
Speaker: F. Michel (Universit‚ deToulouse, Toulouse, France)
-
14:00
Polar quotients and Jacobiens quotients (Lecture room B, Main building)
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Deformation theory and Quiver representation
-
15:15
Deformation theory and Quiver representation
1h0'
Speaker: R. Buchweitz (Univ. of Toronto, Toronto, Canada)
-
15:15
Deformation theory and Quiver representation
1h0'
-
15:15 - 16:15
Singularities at infinity (Lecture room B, Main building)
-
15:15
Singularities at infinity (Lecture room B, Main building)
1h0'
Speaker: D. Siersma and M. Tibar (Univ. of Utrecht, Netherlands and Univ. de Lille III, France) Material: lecture notes
-
15:15
Singularities at infinity (Lecture room B, Main building)
1h0'
-
16:15 - 16:30
Break
- 16:15 Break 15'
-
16:30 - 17:00
Working groups - Seminars
-
16:30
Working groups - Seminars
30'
-
16:30
Working groups - Seminars
30'
-
08:45 - 09:45
Computational approach to singularities
-
-
08:45 - 09:45
Equisingularity theory
-
08:45
Equisingularity theory
1h0'
Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France) Material: lecture notes
-
08:45
Equisingularity theory
1h0'
-
09:45 - 10:00
Break
- 09:45 Break 15'
-
10:00 - 11:00
A resolution of singularities of a toric variety and a non-degenerate hypersurface singularities
-
10:00
A resolution of singularities of a toric variety and a non-degenerate hypersurface singularities
1h0'
Speaker: S. Ishii (Tokyo Institute of Technology, Tokyo, Japan)
-
10:00
A resolution of singularities of a toric variety and a non-degenerate hypersurface singularities
1h0'
-
11:15 - 12:15
Topology of degeneration of Riemann surfaces (Lecture room D, Main building)
- 11:15 Topology of degeneration of Riemann surfaces (Lecture room D, Main building) 1h0'
-
11:15 - 12:15
Metric theory of singularities
-
11:15
Metric theory of singularities
1h0'
Speaker: L. Birbrair (Universidade Federal do Ceara, Brazil) Material: lecture notes
-
11:15
Metric theory of singularities
1h0'
-
12:15 - 14:00
Lunch Break
- 12:15 Lunch Break 1h45'
-
14:00 - 15:00
Polar quotients and Jacobiens quotients
-
14:00
Polar quotients and Jacobiens quotients
1h0'
Speaker: F. Michel (Universit‚ de Toulouse, Toulouse, France)
-
14:00
Polar quotients and Jacobiens quotients
1h0'
-
14:00 - 15:00
McKay correspondence for quotient surface singularities (Lecture room B, Main building)
-
14:00
McKay correspondence for quotient surface singularities (Lecture room B, Main building)
1h0'
Speaker: O. Riemenschneider (Universitaet Hamburg, Hamburg, Germany) Material: lecture notes
-
14:00
McKay correspondence for quotient surface singularities (Lecture room B, Main building)
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Deformation theory and Quiver representation (Lecture room B, Main building)
-
15:15
Deformation theory and Quiver representation (Lecture room B, Main building)
1h0'
Speaker: R. Buchweitz (Univ. of Toronto, Toronto, Canada)
-
15:15
Deformation theory and Quiver representation (Lecture room B, Main building)
1h0'
-
15:15 - 16:15
Singularities at infinity
-
15:15
Singularities at infinity
1h0'
Speaker: D. Siersma and M. Tibar (Univ. of Utrecht, Netherlands and Univ. de Lille III, France)
-
15:15
Singularities at infinity
1h0'
-
16:30 - 17:00
Working Groups
- 16:30 Working Groups 30'
-
17:15 - 18:15
GET TOGETHER DRINK
-
17:15
GET TOGETHER DRINK
1h0'
-
17:15
GET TOGETHER DRINK
1h0'
-
08:45 - 09:45
Equisingularity theory
-
-
09:00 - 10:00
The Perverse Structure of the Vanishing Cycles and Milnor Equisingularity
-
09:00
The Perverse Structure of the Vanishing Cycles and Milnor Equisingularity
1h0'
Speaker: David Massey (Northeastern University, Boston, USA)
-
09:00
The Perverse Structure of the Vanishing Cycles and Milnor Equisingularity
1h0'
-
10:00 - 10:15
Break
- 10:00 Break 15'
-
10:15 - 11:15
A resolution for the geometric complexity of regions in R3 and its topological consequences
-
10:15
A resolution for the geometric complexity of regions in R3 and its topological consequences
1h0'
Speaker: James Damon (University of North Carolina, Chapel Hill, USA)
-
10:15
A resolution for the geometric complexity of regions in R3 and its topological consequences
1h0'
-
11:15 - 11:30
Break
- 11:15 Break 15'
-
11:30 - 12:00
Index of a vector field in R2 and the pencil\'s geometry of its principal part
-
11:30
Index of a vector field in R2 and the pencil\'s geometry of its principal part
30'
Speaker: A.C. Nabarro (Universidade de Sao Paulo, Sao Paulo, Brazil)
-
11:30
Index of a vector field in R2 and the pencil\'s geometry of its principal part
30'
-
12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
-
14:00 - 15:00
Lefschetz theorem for the Picard group of singular quasiprojective varieties
-
14:00
Lefschetz theorem for the Picard group of singular quasiprojective varieties
1h0'
Speaker: Helmut Hamm (Westfalische W. Universitaet Muenster, Muenster, Germany)
-
14:00
Lefschetz theorem for the Picard group of singular quasiprojective varieties
1h0'
-
15:00 - 15:15
Break
- 15:00 Break 15'
-
15:15 - 16:15
Lefschetz Theorems and Hodge theory
-
15:15
Lefschetz Theorems and Hodge theory
1h0'
Speaker: Fouad El Zein (Universite de Nantes, Nantes, France) Material: lecture notes
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15:15
Lefschetz Theorems and Hodge theory
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:00
Braid Monodromy and Hypersurface singularities
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16:30
Braid Monodromy and Hypersurface singularities
30'
Speaker: Michael Lonne (Universitaet Hannover, Hannover, Germany)
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16:30
Braid Monodromy and Hypersurface singularities
30'
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09:00 - 10:00
The Perverse Structure of the Vanishing Cycles and Milnor Equisingularity
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09:00 - 10:00
Topological triviality of families of singular surfaces
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09:00
Topological triviality of families of singular surfaces
1h0'
Speaker: Maria Ruas (Universidade de Sao Paulo, Sao Paulo, Brazil)
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09:00
Topological triviality of families of singular surfaces
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
Whitney equisingularity of map germs, polar multiplicities and Euler obstruction of stable types
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10:15
Whitney equisingularity of map germs, polar multiplicities and Euler obstruction of stable types
1h0'
Speaker: Marcelo Saia (Universidade de Sao Paulo, Sao Paulo, Brazil)
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10:15
Whitney equisingularity of map germs, polar multiplicities and Euler obstruction of stable types
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:00
Real Milnor fibration and C-regularity
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11:30
Real Milnor fibration and C-regularity
30'
Speaker: Raimundo N. A. dos Santos (Universidade de Sao Paulo, Sao Paulo, Brazil)
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11:30
Real Milnor fibration and C-regularity
30'
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12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
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14:00 - 15:00
Bifurcations in implicit differential equations
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14:00
Bifurcations in implicit differential equations
1h0'
Speaker: Farid Tari (University of Durham, Durham, U.K.)
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14:00
Bifurcations in implicit differential equations
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 16:15
Real equisingularity and tame geometry
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15:15
Real equisingularity and tame geometry
1h0'
Speaker: David Trotman (Universite de Provence Aix- Marseille, Marseille, France)
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15:15
Real equisingularity and tame geometry
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:00
Polar classes associated to singular holomorphic foliations
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16:30
Polar classes associated to singular holomorphic foliations
30'
Speaker: Rogerio Mol (Univ. Federal de Minas Gerais, Belo Horizonte, Brazil)
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16:30
Polar classes associated to singular holomorphic foliations
30'
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09:00 - 10:00
Topological triviality of families of singular surfaces
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09:00 - 10:00
Counting singularities, multiplicities, and pairs of modules
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09:00
Counting singularities, multiplicities, and pairs of modules
1h0'
Speaker: Terry Gaffney (Northeastern University, Boston, USA)
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09:00
Counting singularities, multiplicities, and pairs of modules
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
The boundary of the Milnor Fiber for germs of surfaces in C3 with non isolated singular locus
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10:15
The boundary of the Milnor Fiber for germs of surfaces in C3 with non isolated singular locus
1h0'
Speaker: Françoise Michel (Universite Paul Sabatier, Toulouse, France)
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10:15
The boundary of the Milnor Fiber for germs of surfaces in C3 with non isolated singular locus
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:00
Multigraded rings and Buchsbaum-Rim multiplicities
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11:30
Multigraded rings and Buchsbaum-Rim multiplicities
30'
Speaker: Victor Hugo Jorge Perez (Universidade de Sao Paulo, Sao Paulo, Brazil)
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11:30
Multigraded rings and Buchsbaum-Rim multiplicities
30'
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12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
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14:00 - 15:00
Chern obstructions for collections of 1-forms on singular varieties
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14:00
Chern obstructions for collections of 1-forms on singular varieties
1h0'
Speaker: Sabir Gusein-Zade (Moscow State University, Moscow, Russia)
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14:00
Chern obstructions for collections of 1-forms on singular varieties
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 16:15
Indices for 1-forms on singular spaces and characteristic cycles
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15:15
Indices for 1-forms on singular spaces and characteristic cycles
1h0'
Speaker: Jörg Sch?rmann (Westfalische W. Universitaet Muenster, Muenster, Germany)
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15:15
Indices for 1-forms on singular spaces and characteristic cycles
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:00
Rigidity of Germs of Holomorphic Foliations with Dicritic Singularity
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16:30
Rigidity of Germs of Holomorphic Foliations with Dicritic Singularity
30'
Speaker: E. Rosales-Gonzalez (UNAM, Mexico City, Mexico)
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16:30
Rigidity of Germs of Holomorphic Foliations with Dicritic Singularity
30'
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09:00 - 10:00
Counting singularities, multiplicities, and pairs of modules
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09:00 - 10:00
Four physicists at the origin of Knot theory in 19th. Century
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09:00
Four physicists at the origin of Knot theory in 19th. Century
1h0'
Speaker: Claude Weber (Universite de Geneve, Geneve, Suisse)
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09:00
Four physicists at the origin of Knot theory in 19th. Century
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
Logarithmic vector fields for discriminants of composite functions
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10:15
Logarithmic vector fields for discriminants of composite functions
1h0'
Speaker: Victor V. Goryunov (University of Liverpool, Liverpool, U.K.)
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10:15
Logarithmic vector fields for discriminants of composite functions
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:00
Simple elliptic singularity and the corresponding Lie algebra
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11:30
Simple elliptic singularity and the corresponding Lie algebra
30'
Speaker: Meral Tosun (Yildiz Technical University, Istanbul, Turkey)
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11:30
Simple elliptic singularity and the corresponding Lie algebra
30'
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12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
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14:00 - 15:00
On Horn-Kapranov uniformisation of the discriminantal loci
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14:00
On Horn-Kapranov uniformisation of the discriminantal loci
1h0'
Speaker: Susumu Tanabe (Independent University of Moscow, Russia)
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14:00
On Horn-Kapranov uniformisation of the discriminantal loci
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 16:15
Tangential Alexander Polynomial of plane curves
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15:15
Tangential Alexander Polynomial of plane curves
1h0'
Speaker: Mutsuo Oka (Tokyo University of Science, Tokyo, Japan) Material: lecture notes
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15:15
Tangential Alexander Polynomial of plane curves
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:00
Plane curve Singularities: from local to global
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16:30
Plane curve Singularities: from local to global
30'
Speaker: Pho Duc Tai (Hanoi University, Hanoi, Vietnam)
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16:30
Plane curve Singularities: from local to global
30'
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09:00 - 10:00
Four physicists at the origin of Knot theory in 19th. Century
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09:00 - 10:00
Transition between optimal strategies in Arnold's model
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09:00
Transition between optimal strategies in Arnold's model
1h0'
Speaker: Aleksey A. Davydov (Vladimir State Technical University, Russia)
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09:00
Transition between optimal strategies in Arnold's model
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
Automorphic functions for the Whitehead-link-complement group
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10:15
Automorphic functions for the Whitehead-link-complement group
1h0'
Speaker: Masaaki Yoshida (Kyushu University, Kyushu, Japan)
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10:15
Automorphic functions for the Whitehead-link-complement group
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:00
Weighted Voronoi diagrams, discrete Morse theory and tropical geometry
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11:30
Weighted Voronoi diagrams, discrete Morse theory and tropical geometry
30'
Speaker: Martijn van Manen (Hokkaido University, Hokkaido, Japan)
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11:30
Weighted Voronoi diagrams, discrete Morse theory and tropical geometry
30'
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12:00 - 14:00
Lunch Break
- 12:00 Lunch Break 2h0'
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14:00 - 15:00
Sufficienty of jets with line singularities
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14:00
Sufficienty of jets with line singularities
1h0'
Speaker: Hans Brodersen (University of Oslo, Oslo, Norway) Material: lecture notes
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14:00
Sufficienty of jets with line singularities
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 16:15
Valuations
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15:15
Valuations
1h0'
Speaker: Bernard Teissier (Institut de Mathematiques de Jussieu, Paris, France)
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15:15
Valuations
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:00
Closure ceremony
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16:30
Closure ceremony
30'
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16:30
Closure ceremony
30'
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09:00 - 10:00
Transition between optimal strategies in Arnold's model