Finiteness Theorems for Etale Cohomolgy of Excellent - Ofer Gabber
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Ofer Gabber Institute for Advanced Study October 17, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-da
From playlist Pierre Deligne 61st Birthday
Pierre Deligne: Hidden symmetries of algebraic varieties
Abstract: If a complex algebraic variety is defined by equations with rational coefficients, the set of its points whose coordinates are in , that is are algebraic numbers, carries an action of the Galois group Gal(/), the symmetry group of . This, and related symmetries, have a strong inf
From playlist Pierre Deligne
Fundamental lemma and equivariant cohomology - Gerard Laumon
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Gerard Laumon University of Paris-SUD October 19, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day c
From playlist Pierre Deligne 61st Birthday
Towards a p-adic local Langlands correspondence for GL(2) - Marie-France Vigneras
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Marie-France Vigneras Institut de Mathematiques de Jussieu October 19, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be
From playlist Pierre Deligne 61st Birthday
[BOURBAKI 2019] Sur la conjecture des compagnons (en dimension supérieure) 1/4 - Cadoret - 19/01/19
Anna CADORET / 19.01.19 Sur la conjecture des compagnons (en dimension supérieure), d'après Deligne, Drinfeld, Lafforgue, Abe,... La conjecture de Deligne dite des compagnons (1980) décrit l’image essentielle des foncteurs de réalisa- tion l-adiques (on autorise l = p) sur la catégorie h
From playlist BOURBAKI - 2019
The Biggest Project in Modern Mathematics
In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most amb
From playlist Explainers
Estimates of periods of automorphic...of L-functions - Joseph Bernstein
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Joseph Bernstein Tel Aviv University October 19, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day co
From playlist Pierre Deligne 61st Birthday
Joseph Ayoub - 4/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Hodge theory and algebraic cycles - Phillip Griffiths
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Phillip Griffiths Institute for Advanced Study October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a f
From playlist Pierre Deligne 61st Birthday
Joseph Ayoub - 1/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Kiran Kedlaya, The Sato-Tate conjecture and its generalizations
VaNTAGe seminar on March 24, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Cohomology of algebroids and harmonic shuffle relation - Tomohide Terasoma
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Tomohide Terasoma University of Tokyo October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day c
From playlist Pierre Deligne 61st Birthday
Curves of genus one - Andrew Wiles
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Andrew Wiles Princeton University October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day confe
From playlist Pierre Deligne 61st Birthday
Non-commutative motives - Maxim Kontsevich
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Maxim Kontsevich Institute for Advanced Study October 20, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a fo
From playlist Pierre Deligne 61st Birthday
Pierre Deligne - The Abel Prize interview 2013
0:09 Plans for Abel Prize funds incl. to Higher School of Economics 3:26 Importance of awards, prizes 4:46 The value of the multi-faceted threads of the Abel Prize 5:10 Value of good high school teachers 5:27 Early mathematical life 6:39 Given Bourbaki's Set Theory to read as 14yo 8:41 Ja
From playlist Pierre Deligne
Some results on affine Deligne–Lusztig varieties – Xuhua He – ICM2018
Lie Theory and Generalizations Invited Lecture 7.8 Some results on affine Deligne–Lusztig varieties Xuhua He Abstract: The study of affine Deligne–Lusztig varieties originally arose from arithmetic geometry, but many problems on affine Deligne–Lusztig varieties are purely Lie-theoretic i
From playlist Lie Theory and Generalizations
Joseph Ayoub - 3/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Fred Diamond, Geometric Serre weight conjectures and theta operators
VaNTAGe Seminar, April 26, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Ash-Sinott: https://arxiv.org/abs/math/9906216 Ash-Doud-Pollack: https://arxiv.org/abs/math/0102233 Buzzard-Diamond-Jarvis: https://www.ma.imperial.ac.uk/~buzzard/maths/research/paper
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Joseph Ayoub - 2/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
W. Zheng - Compatible systems along the boundary
A theorem of Deligne says that compatible systems of l-adic sheaves on a smooth curve over a finite field are compatible along the boundary. I will present an extension of Deligne's theorem to schemes of finite type over the ring of integers of a local field, based on Gabber's theorem on c
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday