No. GdT-EC17
Speaker: Shenghao SUN, Tsinghua University-Mathematical Sciences Center
Date: 23/06/2012 Time: 15:00--17:00 Room: meeting room, at 430
Title: Poincaré duality
Abstract:
We prove the local biduality in dimension 1, and deduce the Poincaré duality for smooth curves, following Artin. If time permits, we shall go over the formalism of six operations and state the relative Poincaré duality.
References:
Notes: Poincare duality
No. GdT-EC16
Speaker: Yong HU, Paris 11
Date: 05/05/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Derived categories
Abstract:
cf. the plan (click here to download)
References:
Notes: Notes
No. GdT-EC15
Speaker: Yiwen DING, Paris 11
Date: 28/04/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Smooth base change
Abstract:
cf. the plan (click here to download)
References:
No. GdT-EC14
Speaker: Haoran WANG, Paris 6
Date: 14/04/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Purity and the Gysin sequence
Abstract:
cf. the plan (click here to download)
References:
Notes: Purity and the Gysin sequence
No. GdT-EC13
Speaker: Joe PALACIOS
Date: 07/04/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: The weak Lefschetz theorem
Abstract:
I will discuss about the Weak Lefschetz theorem following [1]. As application, I will give an outline of the proof of the Hard Lefschetz theorem after Deligne [2]. If time permits, I will talk about others interesting applications in étale cohomology.
References:
[1] SGA IV: exposé XIV
[2] P. Deligne, La conjecture de Weil II.
No. GdT-EC12
Speaker: Arne SMEETS, Paris 11
Date: 10/03/2012 Time: 14:00--16:00 Room: meeting room, at 430
Title: Chapter 9: Proper base change and applications II
Abstract:
cf. the plan (click here to download)
References:
No. GdT-EC11
Speaker: Arne SMEETS, Paris 11
Date: 10/03/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 9: Proper base change and applications I
Abstract:
cf. the plan (click here to download)
References:
No. GdT-EC10
Speaker: Ting-Yu LEE, Paris 6
Date: 04/02/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 8: Etale fundamental groups
Abstract:
cf. the plan (click here to download)
References:
No. GdT-EC09
Speaker: Chunhui WANG, Paris 11
Date: 14/01/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 7: Constructible sheaves
Abstract:
cf. the plan (click here to download)
References:
No. GdT-EC08
Speaker: Yiwen DING, Paris 11
Date: 07/01/2012 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 6: Cohomology of curves and cohomological dimension
Abstract:
cf. the plan (click here to download)
References:
Notes: Notes
No. GdT-EC07
Speaker: Haoran WANG, Paris 6
Date: 10/12/2011 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 5: The six functors
Abstract:
cf. the plan (click here to download)
References:
No. GdT-EC06
Speaker: Yong HU, Paris 11
Date: 03/12/2011 Time: 14:00--16:00 Room: meeting room, at 430
Title: Chapter 4: Basics of étale sheaves and cohomology, Part III
Abstract:
cf. the plan (click here to download)
References:
Notes: Etale cohomology,II
No. GdT-EC05
Speaker: Yong HU, Paris 11
Date: 26/11/2011 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 4: Basics of étale sheaves and cohomology, Part II
Abstract:
cf. the plan (click here to download)
References:
Notes: Etale cohomology,II
No. GdT-EC04
Speaker: Haoran WANG, Paris 6
Date: 12/11/2011 Time: 14:00--16:00 Room: meeting room, at 430
Title: Chapter 4: Basics of étale sheaves and cohomology, Part I
Abstract:
cf. the plan (click here to download)
References:
Notes: Etale cohomology, I Notes typeset in Latex by Chunhui WANG
No. GdT-EC03
Speaker: Xun JIANG, Paris 11
Date: 05/11/2011 Time: 14:00--16:00 Room: meeting room, at 430
Title: Chapter 2: Complements on homological algebra
Abstract:
cf. the plan (click here to download)
References:
Notes: Algèbre Homologique
No. GdT-EC02
Speaker: Haoran WANG, Paris 6
Date: 29/10/2011 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 3: Motivation for étale cohomology
Abstract:
cf. the plan (click here to download)
References:
Notes: Motivation
No. GdT-EC01
Speaker: Chunhui WANG, Paris 11
Date: 15/10/2011 Time: 10:00--12:00 Room: meeting room, at 430
Title: Chapter 1: Preliminary notions
Abstract:
cf. the plan (click here to download)
References:
Notes: Morphismes Etales