Summer School and Conference on Hodge Theory and Related Topics

Administration

Material

ElZein notes1.pdf Final List of Participants.pdf Griffiths notes.pdf Group Photo.jpg Illusie Lecture notes.pdf Kerr Lecture notes.pdf Murre notes1.pdf Murre notes2.pdf Notes on Shimura Varieties1.pdf Notes on Shimura Varieties2.pdf Notes on Shimura Varieties3.pdf Tu lecture notes v6.pdf Tu prerequisites.pdf Voisin Lecture notes.pdf abstract announcement de Cataldo Migliorini notes.pdf recording

Summer School and Conference on Hodge Theory and Related Topics | (smr 2150)

Go to day

Monday, 14 June 2010

08:30 - 10:30 Registration and Administrative Formalities

Location: Leonardo da Vinci Building, Lobby
- 08:30 Registration and Administrative Formalities 2h0'
10:30 - 10:45 Introductory remarks
- 10:30 Introductory remarks 15'
  
  Speaker: Lê Dung Tráng and Fouad Elzein

10:45 - 11:45 Topology, cohomology and sheaf theory - 1

10:45 Topology, cohomology and sheaf theory - 1 1h0'

Speaker:	Loring TU (Tufts University, Medford MA, USA)
Material:	lecture notes

11:45 - 14:00 Lunch break
- 11:45 Lunch break 2h15'

14:00 - 14:50 Complex manifolds, Kahler metrics, differential and harmonic forms - 1

14:00 Complex manifolds, Kahler metrics, differential and harmonic forms - 1 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, Amherst MA, USA)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Algebraic varieties and schemes over any scheme. Non singular varieties - 1

15:00 Algebraic varieties and schemes over any scheme. Non singular varieties - 1 50'

Speaker:	Lê Dung Tráng
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'

16:10 - 17:00 Complex manifolds, Kahler metrics, differential and harmonic forms - 2

16:10 Complex manifolds, Kahler metrics, differential and harmonic forms - 2 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, Amherst MA, USA)
Material:	lecture notes

17:00 - 18:00 Exercises and discussion of daily courses
- 17:00 Exercises and discussion of daily courses 1h0'

Tuesday, 15 June 2010

08:45 - 09:35 Topology, cohomology and sheaf theory - 2

08:45 Topology, cohomology and sheaf theory - 2 50'

Speaker:	Loring Tu (Tufts University, Medford MA, USA)
Material:	lecture notes

09:35 - 09:45 Coffee break
- 09:35 Coffee break 10'

09:45 - 10:35 Algebraic varieties and schemes over any scheme. Non singular varieties - 2

09:45 Algebraic varieties and schemes over any scheme. Non singular varieties - 2 50'

Speaker:	Lê Dung Tráng
Material:	lecture notes

10:35 - 10:45 Break
- 10:35 Break 10'

10:45 - 11:35 Complex manifolds, Kahler metrics, differential and harmonic forms - 3

10:45 Complex manifolds, Kahler metrics, differential and harmonic forms - 3 50'

Speaker:	E. Cattani (University of Massachusetts at Amherst, Amherst MA, USA)
Material:	lecture notes

11:45 - 14:00 Lunch break
- 11:45 Lunch break 2h15'

14:00 - 14:50 Topology, cohomology and sheaf theory - 3

14:00 Topology, cohomology and sheaf theory - 3 50'

Speaker:	Loring TU (Tufts University, Medford MA, USA)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Algebraic varieties and schemes over any scheme. Non singular varieties - 3

15:00 Algebraic varieties and schemes over any scheme. Non singular varieties - 3 50'

Speaker:	Lê Dung Tráng
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'

16:10 - 17:00 Complex manifolds, Kahler metrics, differential and harmonic forms - 4

16:10 Complex manifolds, Kahler metrics, differential and harmonic forms - 4 50'

Speaker:	E. Cattani (University of Massachusetts at Amherst, Amherst MA, USA)
Material:	lecture notes

17:00 - 18:00 Exercises and discussion of daily courses
- 17:00 Exercises and discussion of daily courses 1h0'

Wednesday, 16 June 2010

08:45 - 09:35 Topology, cohomology and sheaf theory - 4

08:45 Topology, cohomology and sheaf theory - 4 50'

Speaker:	Loring TU (Tufts University, Medford MA, USA)
Material:	lecture notes

09:35 - 09:45 Coffee break
- 09:35 Coffee break 10'

09:45 - 10:35 Algebraic varieties and schemes over any scheme. Non singular varieties - 4

09:45 Algebraic varieties and schemes over any scheme. Non singular varieties - 4 50'

Speaker:	Lê Dung Tráng
Material:	lecture notes

10:35 - 10:45 Break
- 10:35 Break 10'

10:45 - 11:35 Complex manifolds, Kahler metrics, differential and harmonic forms - 5

10:45 Complex manifolds, Kahler metrics, differential and harmonic forms - 5 50'

Speaker:	E. Cattani (University of Massachusetts at Amherst, Amherst MA, USA)
Material:	lecture notes

11:35 - 14:00 Lunch break
- 11:35 Lunch break 2h25'

14:00 - 14:50 Hodge structures, mixed hodge structures - 1

14:00 Hodge structures, mixed hodge structures - 1 50'

Speaker:	F. ElZein (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Variation of HS's, degenerations of HS's - 1

15:00 Variation of HS's, degenerations of HS's - 1 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, USA)
Material:	lecture notes

15:50 - 16:10 Break
- 15:50 Break 20'

16:10 - 17:00 Hodge theory of maps - 1

16:10 Hodge theory of maps - 1 50'

Speaker:	L. Migliorini (Universita' degli Studi di Bologna, Bologna, Italia)
Material:	lecture notes

17:00 - 18:00 Exercises and discussion of daily courses
- 17:00 Exercises and discussion of daily courses 1h0'

Thursday, 17 June 2010

08:45 - 09:35 Hodge structures, mixed hodge structures - 2

08:45 Hodge structures, mixed hodge structures - 2 50'

Speaker:	F. ElZein (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

09:35 - 09:45 Coffee break
- 09:35 Coffee break 10'

09:45 - 10:35 Hodge theory of maps - 2

09:45 Hodge theory of maps - 2 50'

Speaker:	L. Migliorini (Universita' degli Studi di Bologna, Bologna, Italia)
Material:	lecture notes

10:35 - 10:45 Break
- 10:35 Break 10'

10:45 - 11:35 Variation of HS's, degenerations of HS's - 2

10:45 Variation of HS's, degenerations of HS's - 2 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, Amherst MA, USA)
Material:	lecture notes

11:45 - 14:00 Lunch break
- 11:45 Lunch break 2h15'

14:00 - 14:50 Hodge structures, mixed hodge structures - 3

14:00 Hodge structures, mixed hodge structures - 3 50'

Speaker:	F. ElZein (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Hodge theory of maps - 3

15:00 Hodge theory of maps - 3 50'

Speaker:	L. Migliorini (Universita' degli Studi di Bologna, Bologna, Italia)
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'

16:10 - 17:00 Variation of HS's, degenerations of HS's - 3

16:10 Variation of HS's, degenerations of HS's - 3 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, Amherst MA, USA)
Material:	lecture notes

17:00 - 18:00 Exercises and discussion of daily courses
- 17:00 Exercises and discussion of daily courses 1h0'

Friday, 18 June 2010

08:45 - 09:35 Hodge structures, mixed hodge structures - 4

08:45 Hodge structures, mixed hodge structures - 4 50'

Speaker:	F. ElZein (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

09:35 - 09:45 Coffee break
- 09:35 Coffee break 10'

09:45 - 10:35 Variation of HS's, degenerations of HS's - 4

09:45 Variation of HS's, degenerations of HS's - 4 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, Amherst MA, USA)
Material:	lecture notes

10:35 - 10:45 Break
- 10:35 Break 10'

10:45 - 11:35 Hodge theory of maps - 1

10:45 Hodge theory of maps - 1 50'

Speaker:	M. de Cataldo (State University of New York at Stony Brook, Stony Brook NY, USA)
Material:	lecture notes

11:45 - 14:00 Lunch break
- 11:45 Lunch break 2h15'

14:00 - 14:50 Hodge structures, mixed hodge structures - 5

14:00 Hodge structures, mixed hodge structures - 5 50'

Speaker:	F. ElZein (Institut de Mathematiques de Jussieu, Paris, France)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Variation of HS's, degenerations of HS's - 5

15:00 Variation of HS's, degenerations of HS's - 5 50'

Speaker:	E. Cattani (University of Massachussetts at Amherst, Amherst MA, USA)
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'

16:10 - 17:00 Hodge theory of maps - 2

16:10 Hodge theory of maps - 2 50'

Speaker:	M. de Cataldo (State University of New York at Stony Brook, Stony Brook NY, USA)
Material:	lecture notes

17:00 - 18:00 Exercises and discussion of daily courses
- 17:00 Exercises and discussion of daily courses 1h0'

Monday, 21 June 2010

09:00 - 09:50 Period domains - 1

09:00 Period domains - 1 50'

Speaker:	J. Carlson (Clay Mathematics Institute, Cambridge MA, USA)
Material:	Handout lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Chow groups - 1

10:10 Chow groups - 1 50'

Speaker:	J. Murre (University of Leiden, Leiden, The Netherlands)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'
11:10 - 12:00 Normal functions - 1
- 11:10 Normal functions - 1 50'
  
  Speaker: P. Brosnan (University of British Columbia, Vancouver BC, Canada)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 14:50 Period domains - 2

14:00 Period domains - 2 50'

Speaker:	J. Carlson (Clay Mathematics Institute, Cambridge MA, USA)
Material:	Handout lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Chow groups - 2

15:00 Chow groups - 2 50'

Speaker:	J. Murre (University of Leiden, Leiden, The Netherlands)
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'
16:10 - 17:00 Normal functions - 2
- 16:10 Normal functions - 2 50'
  
  Speaker: P. Brosnan (University of British Columbia, Vancouver, Canada)
17:00 - 18:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H)
- 17:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H) 1h0'

Tuesday, 22 June 2010

09:00 - 09:50 Period domains - 3

09:00 Period domains - 3 50'

Speaker:	J. Carlson (Clay Mathematics Institute, Cambridge MA, USA)
Material:	Handout lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Chow groups - 3

10:10 Chow groups - 3 50'

Speaker:	J. Murre (University of Leiden, Leiden, The Netherlands)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'
11:10 - 12:00 Normal functions - 3
- 11:10 Normal functions - 3 50'
  
  Speaker: P. Brosnan (University of British Columbia, Vancouver BC, Canada)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 14:50 Period domains - 4

14:00 Period domains - 4 50'

Speaker:	J. Carlson (Clay Mathematics Institute, Cambridge MA, USA)
Material:	Handout lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Shimura varieties - 1

15:00 Shimura varieties - 1 50'

Speaker:	M. Kerr (Durham University, Durham, UK)
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'
16:10 - 17:00 Normals functions - 4
- 16:10 Normals functions - 4 50'
  
  Speaker: P. Brosnan (University of British Columbia, Vancouver BC, Canada)
17:00 - 18:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H)
- 17:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H) 1h0'

Wednesday, 23 June 2010

09:00 - 09:50 Chow groups - 4

09:00 Chow groups - 4 50'

Speaker:	J. Murre (University of Leiden, Leiden, The Netherlands)
Material:	lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Period domains - 5

10:10 Period domains - 5 50'

Speaker:	J. Carlson (Clay Mathematics Institute, Cambridge MA, USA)
Material:	Handout lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Mumford-Tate groups - 1

11:10 Mumford-Tate groups - 1 50'

Speaker:	P. Griffiths (Institute for Advanced Study, Princeton NJ, USA)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 14:00 AFTERNOON - FREE
- 14:00 AFTERNOON - FREE

Thursday, 24 June 2010

09:00 - 09:50 Chow groups - 5

09:00 Chow groups - 5 50'

Speaker:	J. Murre (University of Leiden, Leiden, The Netherlands)
Material:	lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Mumford-Tate groups - 2

10:10 Mumford-Tate groups - 2 50'

Speaker:	P. Griffiths (Institute for Advanced Study, Princeton NJ, USA)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Shimura varieties - 2

11:10 Shimura varieties - 2 50'

Speaker:	M. Kerr (Durham University, Durham, UK)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 14:50 Mumford-Tate groups - 3

14:00 Mumford-Tate groups - 3 50'

Speaker:	P. Griffiths (Institute For Advanced Study, Princeton NJ, USA)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:50 Application to the Beilinson-Bloch conjecture - 1

15:00 Application to the Beilinson-Bloch conjecture - 1 50'

Speaker:	M. Green (University of California at Los Angeles, Los Angeles CA, USA)
Material:	lecture notes

15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'
16:10 - 17:00 Normal functions - 5
- 16:10 Normal functions - 5 50'
  
  Speaker: P. Brosnan (University of British Columbia, Vancouver BC, Canada)
17:00 - 18:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H)
- 17:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H) 1h0'

Friday, 25 June 2010

09:00 - 09:50 Application to the Beilinson-Bloch conjecture - 2

09:00 Application to the Beilinson-Bloch conjecture - 2 50'

Speaker:	M. Green (University of California at Los Angeles, Los Angeles, USA)
Material:	lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Mumford-Tate groups - 4

10:10 Mumford-Tate groups - 4 50'

Speaker:	P. Griffiths (Institute for Advanced Study, Princeton NJ, USA)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'
11:10 - 12:00 Algebraic de Rham Cohomology and Betti Cohomology
- 11:10 Algebraic de Rham Cohomology and Betti Cohomology 50'
  
  Speaker: C. Schnell (University of Illinois at Chicago, Chicago IL, USA)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 14:50 Shimura varieties - 3

14:00 Shimura varieties - 3 50'

Speaker:	M. Kerr (Durham University, Durham, UK)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'
15:00 - 15:50 Hodge Loci and Absolute Hodge Classes 1
- 15:00 Hodge Loci and Absolute Hodge Classes 1 50'
  
  Speaker: F. Charles (Ecole Normale Supérieure, Paris, France)
15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'
16:10 - 18:00 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H)
- 16:10 Exercises and discussion of daily courses/Parallel Sessions 1-2-3 (lecture rooms B, D, H) 1h50'

Monday, 28 June 2010

09:00 - 09:50 Mumford-Tate groups - 5

09:00 Mumford-Tate groups - 5 50'

Speaker:	P. Griffiths (Institute For Advanced Study, Princeton NJ, USA)
Material:	lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'
10:10 - 11:00 Hodge Loci and Absolute Hodge Classes 2
- 10:10 Hodge Loci and Absolute Hodge Classes 2 50'
  
  Speaker: F. Charles (Ecole Normale Supérieure, Paris, France)
11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Application to the Beilinson-Bloch conjecture - 3

11:10 Application to the Beilinson-Bloch conjecture - 3 50'

Speaker:	M. Green (University of California at Los Angeles, Los Angeles, USA)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 14:50 Shimura varieties - 4

14:00 Shimura varieties - 4 50'

Speaker:	M. Kerr (Durham University, Durham, UK)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'
15:00 - 15:50 Deligne's Theorem on Abelian Varieties, Part I
- 15:00 Deligne's Theorem on Abelian Varieties, Part I 50'
  
  Speaker: C. Schnell (University of Illinois at Chicago, Chicago IL, USA)
15:50 - 16:30 Coffee break
- 15:50 Coffee break 40'

16:30 - 17:20 COLLOQUIUM - HODGE THEORY AND REPRESENTATION THEORY

16:30 COLLOQUIUM - HODGE THEORY AND REPRESENTATION THEORY 50'

Speaker:	P. Griffiths (Institute for Advanced Study, Princeton NJ, USA)
Material:	lecture notes

17:20 - 18:00 Exercises and discussion of daily courses
- 17:20 Exercises and discussion of daily courses 40'

Tuesday, 29 June 2010

09:00 - 09:50 Deligne's Theorem on Abelian Varieties - II

09:00 Deligne's Theorem on Abelian Varieties - II 50'

Speaker:	M. Kerr (Durham University, Durham, UK)
Material:	lecture notes

09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Application to the Beilinson-Bloch conjecture - 4

10:10 Application to the Beilinson-Bloch conjecture - 4 50'

Speaker:	M. Green (University of California at Los Angeles, Los Angeles, USA)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Shimura varieties - 5

11:10 Shimura varieties - 5 50'

Speaker:	M. Kerr (Durham University, Durham, UK)
Material:	lecture notes

12:00 - 13:00 Lunch break
- 12:00 Lunch break 1h0'

13:00 - 13:50 Application to the Beilinson-Bloch Conjecture - 5

13:00 Application to the Beilinson-Bloch Conjecture - 5 50'

Speaker:	M. Green (University of California at Los Angeles, Los Angeles, USA)
Material:	lecture notes

Wednesday, 30 June 2010

09:00 - 09:50 Beilinson-Hodge cycles on semiabelian varieties
- 09:00 Beilinson-Hodge cycles on semiabelian varieties 50'
  
  Speaker: Donu Arapura (Purdue University, West Lafayette, IN, USA)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Semistable reduction and vanishing theorems revisited, after J. Suh.

10:10 Semistable reduction and vanishing theorems revisited, after J. Suh. 50'

Speaker:	L. Illusie (Université de Paris Sud, Orsay, France)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Hodge domains and automorphic cohomology

11:10 Hodge domains and automorphic cohomology 50'

Speaker:	P. Griffiths (Institute For Advanced Study, Princeton NJ, USA)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 14:50 Vanishing of Chern Polynomials for Hodge Domains
- 14:00 Vanishing of Chern Polynomials for Hodge Domains 50'
  
  Speaker: M. Green (University of California at Los Angeles, Los Angeles CA, USA)
14:50 - 15:00 Break
- 14:50 Break 10'
15:00 - 15:50 Neron models and Poincare bundles
- 15:00 Neron models and Poincare bundles 50'
  
  Speaker: C. Schnell (University of Illinois at Chicago, Chicago IL, USA)
15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'
16:10 - 17:00 The locus of the Hodge classes in admissible variations of mixed Hodge structure
- 16:10 The locus of the Hodge classes in admissible variations of mixed Hodge structure 50'
  
  Speaker: G. Pearlstein (Michigan State University, East Lansing MI, USA)
17:00 - 17:10 Break
- 17:00 Break 10'
17:10 - 18:00 Automorphic functions for moduli of polarized Hodge structures
- 17:10 Automorphic functions for moduli of polarized Hodge structures 50'
  
  Speaker: H. Movasati (Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil)
18:00 - 19:30 SMALL RECEPTION FOR ALL PARTICIPANTS (on the terrace level)

Location: Leonardo da Vinci Building Terrace
- 18:00 SMALL RECEPTION FOR ALL PARTICIPANTS (on the terrace level) 1h30'

Thursday, 1 July 2010

09:00 - 09:50 Normal forms for lattice polarized K3 surfaces and Siegel modular forms
- 09:00 Normal forms for lattice polarized K3 surfaces and Siegel modular forms 50'
  
  Speaker: C. Doran (University of Alberta, Edmonton AB, Canada)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'
10:10 - 11:00 Neron Models in log mixed Hodge theory by weak fans
- 10:10 Neron Models in log mixed Hodge theory by weak fans 50'
  
  Speaker: Sampei Usui (Osaka University, Osaka, Japan)
11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Further speculation and progress on Hodge theory for cubic surfaces

11:10 Further speculation and progress on Hodge theory for cubic surfaces 50'

Speaker:	J. Carlson (Clay Mathematics Institute, Cambridge MA, USA)
Material:	Handout lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 14:50 Remarks on the Lefschetz standard conjecture and hyperkähler varieties
- 14:00 Remarks on the Lefschetz standard conjecture and hyperkähler varieties 50'
  
  Speaker: F. Charles (Ecole Normale Supérieure, Paris, France)
14:50 - 15:00 Break
- 14:50 Break 10'
15:00 - 15:50 Characteristic classes of complex hypersurfaces
- 15:00 Characteristic classes of complex hypersurfaces 50'
  
  Speaker: L. Maxim (University of Wisconsin Madison, Madison WI, USA)
15:50 - 16:10 Coffee break
- 15:50 Coffee break 20'
16:10 - 17:00 Mumford-Tate groups and the classification of Hodge structures
- 16:10 Mumford-Tate groups and the classification of Hodge structures 50'
  
  Speaker: M. Kerr (Durham University, Durham, UK)
17:00 - 17:05 Break
- 17:00 Break 5'
17:05 - 17:30 The Schottky Problem
- 17:05 The Schottky Problem 25'
  
  Speaker: C. Siegel (University of Pennsylvania, Philadelphia PA, USA)
17:30 - 17:35 Break
- 17:30 Break 5'
17:35 - 18:00 Deformations of the Hitchin section and DGLA's
- 17:35 Deformations of the Hitchin section and DGLA's 25'
  
  Speaker: P. Dalakov (University of Massachusetts at Amherst, Amherst MA, USA)

Friday, 2 July 2010

09:00 - 09:50 Mixed Hard Lefschetz and Mixed Hodge-Riemann Bilinear Relations
- 09:00 Mixed Hard Lefschetz and Mixed Hodge-Riemann Bilinear Relations 50'
  
  Speaker: E. Cattani (University of Massachusetts Amherst, MA, USA)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'
10:10 - 11:00 D-modules and categorical sl(2) actions
- 10:10 D-modules and categorical sl(2) actions 50'
  
  Speaker: S. Cautis (Columbia University, New York NY, USA)
11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Topology of Hitchin systems and Hodge theory of character varieties (joint work with M. de Cataldo and T. Hausel)

11:10 Topology of Hitchin systems and Hodge theory of character varieties (joint work with M. de Cataldo and T. Hausel) 50'

Speaker:	L. Migliorini (Università degli Studi di Bologna, Bologna, Italia)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'