Advanced School and Workshop on Singularities in Geometry and Topology | (smr 1671) (15 August 2005

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abstract posters

Advanced School and Workshop on Singularities in Geometry and Topology | (smr 1671)

Go to day

Monday, 15 August 2005

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'
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)

14:15 - 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

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

Tuesday, 16 August 2005

08:30 - 10:30 ADMINISTRATIVE FORMALITIES
- 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

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

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

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

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Working Groups - Seminars
- 16:30 Working Groups - Seminars 30'

Wednesday, 17 August 2005

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

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

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

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

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

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Working Groups - Seminars
- 16:30 Working Groups - Seminars 30'

Thursday, 18 August 2005

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

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

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

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

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

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Working Groups - Seminars
- 16:30 Working Groups - Seminars 30'

Friday, 19 August 2005

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

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

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

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

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

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Working Groups - Seminars
- 16:30 Working Groups - Seminars 30'

Monday, 22 August 2005

08:45 - 09:45 Equisingularity theory

08:45 Equisingularity theory 1h0'

Speaker:	B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

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

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

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

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 - 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

16:15 - 16:45 Working groups - Seminars
- 16:15 Working groups - Seminars 30'

Tuesday, 23 August 2005

08:45 - 09:45 Equisingularity theory

08:45 Equisingularity theory 1h0'

Speaker:	B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

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

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

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 - 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 - 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)
16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Working groups - Seminars
- 16:30 Working groups - Seminars 30'

Wednesday, 24 August 2005

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

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

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

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 - 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)
16:15 - 16:45 Working groups - Seminars
- 16:15 Working groups - Seminars 30'

Thursday, 25 August 2005

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

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

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 - 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 - 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)
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 - 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

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Working groups - Seminars
- 16:30 Working groups - Seminars 30'

Friday, 26 August 2005

08:45 - 09:45 Equisingularity theory

08:45 Equisingularity theory 1h0'

Speaker:	B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

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)
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

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 - 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

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 - 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)
16:30 - 17:00 Working Groups
- 16:30 Working Groups 30'
17:15 - 18:15 GET TOGETHER DRINK
- 17:15 GET TOGETHER DRINK 1h0'

Monday, 29 August 2005

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)
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)
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)
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)
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

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Braid Monodromy and Hypersurface singularities
- 16:30 Braid Monodromy and Hypersurface singularities 30'
  
  Speaker: Michael Lonne (Universitaet Hannover, Hannover, Germany)

Tuesday, 30 August 2005
- 09:00 - 10:00 Topological triviality of families of singular surfaces
  - 09:00 Topological triviality of families of singular surfaces 1h0'
    
    Speaker: Maria Ruas (Universidade de Sao Paulo, Sao Paulo, Brazil)
- 10:00 - 10:15 Break
  - 10:00 Break 15'
- 10:15 - 11:15 Whitney equisingularity of map germs, polar multiplicities and Euler obstruction of stable types
  - 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)
- 11:15 - 11:30 Break
  - 11:15 Break 15'
- 11:30 - 12:00 Real Milnor fibration and C-regularity
  - 11:30 Real Milnor fibration and C-regularity 30'
    
    Speaker: Raimundo N. A. dos Santos (Universidade de Sao Paulo, Sao Paulo, Brazil)
- 12:00 - 14:00 Lunch Break
  - 12:00 Lunch Break 2h0'
- 14:00 - 15:00 Bifurcations in implicit differential equations
  - 14:00 Bifurcations in implicit differential equations 1h0'
    
    Speaker: Farid Tari (University of Durham, Durham, U.K.)
- 15:00 - 15:15 Break
  - 15:00 Break 15'
- 15:15 - 16:15 Real equisingularity and tame geometry
  - 15:15 Real equisingularity and tame geometry 1h0'
    
    Speaker: David Trotman (Universite de Provence Aix- Marseille, Marseille, France)
- 16:15 - 16:30 Break
  - 16:15 Break 15'
- 16:30 - 17:00 Polar classes associated to singular holomorphic foliations
  - 16:30 Polar classes associated to singular holomorphic foliations 30'
    
    Speaker: Rogerio Mol (Univ. Federal de Minas Gerais, Belo Horizonte, Brazil)
Wednesday, 31 August 2005
- 09:00 - 10:00 Counting singularities, multiplicities, and pairs of modules
  - 09:00 Counting singularities, multiplicities, and pairs of modules 1h0'
    
    Speaker: Terry Gaffney (Northeastern University, Boston, USA)
- 10:00 - 10:15 Break
  - 10:00 Break 15'
- 10:15 - 11:15 The boundary of the Milnor Fiber for germs of surfaces in C3 with non isolated singular locus
  - 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)
- 11:15 - 11:30 Break
  - 11:15 Break 15'
- 11:30 - 12:00 Multigraded rings and Buchsbaum-Rim multiplicities
  - 11:30 Multigraded rings and Buchsbaum-Rim multiplicities 30'
    
    Speaker: Victor Hugo Jorge Perez (Universidade de Sao Paulo, Sao Paulo, Brazil)
- 12:00 - 14:00 Lunch Break
  - 12:00 Lunch Break 2h0'
- 14:00 - 15:00 Chern obstructions for collections of 1-forms on singular varieties
  - 14:00 Chern obstructions for collections of 1-forms on singular varieties 1h0'
    
    Speaker: Sabir Gusein-Zade (Moscow State University, Moscow, Russia)
- 15:00 - 15:15 Break
  - 15:00 Break 15'
- 15:15 - 16:15 Indices for 1-forms on singular spaces and characteristic cycles
  - 15:15 Indices for 1-forms on singular spaces and characteristic cycles 1h0'
    
    Speaker: Jörg Sch?rmann (Westfalische W. Universitaet Muenster, Muenster, Germany)
- 16:15 - 16:30 Break
  - 16:15 Break 15'
- 16:30 - 17:00 Rigidity of Germs of Holomorphic Foliations with Dicritic Singularity
  - 16:30 Rigidity of Germs of Holomorphic Foliations with Dicritic Singularity 30'
    
    Speaker: E. Rosales-Gonzalez (UNAM, Mexico City, Mexico)

Thursday, 1 September 2005

09:00 - 10:00 Four physicists at the origin of Knot theory in 19th. Century
- 09:00 Four physicists at the origin of Knot theory in 19th. Century 1h0'
  
  Speaker: Claude Weber (Universite de Geneve, Geneve, Suisse)
10:00 - 10:15 Break
- 10:00 Break 15'
10:15 - 11:15 Logarithmic vector fields for discriminants of composite functions
- 10:15 Logarithmic vector fields for discriminants of composite functions 1h0'
  
  Speaker: Victor V. Goryunov (University of Liverpool, Liverpool, U.K.)
11:15 - 11:30 Break
- 11:15 Break 15'
11:30 - 12:00 Simple elliptic singularity and the corresponding Lie algebra
- 11:30 Simple elliptic singularity and the corresponding Lie algebra 30'
  
  Speaker: Meral Tosun (Yildiz Technical University, Istanbul, Turkey)
12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'
14:00 - 15:00 On Horn-Kapranov uniformisation of the discriminantal loci
- 14:00 On Horn-Kapranov uniformisation of the discriminantal loci 1h0'
  
  Speaker: Susumu Tanabe (Independent University of Moscow, Russia)
15:00 - 15:15 Break
- 15:00 Break 15'

15:15 - 16:15 Tangential Alexander Polynomial of plane curves

15:15 Tangential Alexander Polynomial of plane curves 1h0'

Speaker:	Mutsuo Oka (Tokyo University of Science, Tokyo, Japan)
Material:	lecture notes

16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Plane curve Singularities: from local to global
- 16:30 Plane curve Singularities: from local to global 30'
  
  Speaker: Pho Duc Tai (Hanoi University, Hanoi, Vietnam)

Friday, 2 September 2005

09:00 - 10:00 Transition between optimal strategies in Arnold's model
- 09:00 Transition between optimal strategies in Arnold's model 1h0'
  
  Speaker: Aleksey A. Davydov (Vladimir State Technical University, Russia)
10:00 - 10:15 Break
- 10:00 Break 15'
10:15 - 11:15 Automorphic functions for the Whitehead-link-complement group
- 10:15 Automorphic functions for the Whitehead-link-complement group 1h0'
  
  Speaker: Masaaki Yoshida (Kyushu University, Kyushu, Japan)
11:15 - 11:30 Break
- 11:15 Break 15'
11:30 - 12:00 Weighted Voronoi diagrams, discrete Morse theory and tropical geometry
- 11:30 Weighted Voronoi diagrams, discrete Morse theory and tropical geometry 30'
  
  Speaker: Martijn van Manen (Hokkaido University, Hokkaido, Japan)
12:00 - 14:00 Lunch Break
- 12:00 Lunch Break 2h0'

14:00 - 15:00 Sufficienty of jets with line singularities

14:00 Sufficienty of jets with line singularities 1h0'

Speaker:	Hans Brodersen (University of Oslo, Oslo, Norway)
Material:	lecture notes

15:00 - 15:15 Break
- 15:00 Break 15'
15:15 - 16:15 Valuations
- 15:15 Valuations 1h0'
  
  Speaker: Bernard Teissier (Institut de Mathematiques de Jussieu, Paris, France)
16:15 - 16:30 Break
- 16:15 Break 15'
16:30 - 17:00 Closure ceremony
- 16:30 Closure ceremony 30'