Geometry of Shimura varieties - Rong Zhou
Short talks by postdoctoral members Topic: Geometry of Shimura varieties Speaker: Rong Zhou Affiliation: Member, School of Mathematics Date: October 6, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Shimura Varieties, Local Models and Geometric Realizations of Langlands... - Elena Mantovan
Shimura Varieties, Local Models and Geometric Realizations of Langlands Correspondences - Elena Mantovan California Institute of Technology; Member, School of Mathematics November 1, 2010 I will introduce Shimura varieties and discuss the role they play in the conjectural relashionship be
From playlist Mathematics
Basic loci of Shimura varieties - Xuhua He
Basic loci of Shimura varieties Joint IAS/Princeton University Number Theory Seminar Topic: Basic loci of Shimura varieties Speaker: Xuhua He Affiliation: University of Maryland; von Neumann Fellow, School of Mathematics Date: Thursday, April 6
From playlist Mathematics
Michael Harris "Shimura varieties and the search for a Langlands transform" [2012]
Michael Harris, Institut de mathématiques de Jussieu "Shimura varieties and the search for a Langlands transform" The Langlands reciprocity conjectures predict the existence of a correspondence between certain classes of representations of Galois groups of number fields and automorphic re
From playlist Number Theory
Completed Cohomology of Shimura Curves and a p-Adic Jacquet-Langlands Correspondence - James Newton
Completed Cohomology of Shimura Curves and a p-Adic Jacquet-Langlands Correspondence James Newton Member, School of Mathematics February 9, 2011 In this talk, I will describe a construction of a geometric realisation of a p-adic Jacquet-Langlands correspondence for certain forms of GL(2)
From playlist Mathematics
Chao Li - 1/2 Geometric and Arithmetic Theta Correspondences
Geometric/arithmetic theta correspondences provide correspondences between automorphic forms and cohomology classes/algebraic cycles on Shimura varieties. I will give an introduction focusing on the example of unitary groups and highlight recent advances in the arithmetic theory (also know
From playlist 2022 Summer School on the Langlands program
Automorphy for coherent cohomology of Shimura varieties - Jun Su
Joint IAS/Princeton University Number Theory Seminar Topic: Automorphy for coherent cohomology of Shimura varieties Speaker: Jun Su Affiliation: Princeton University Date: December 5, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Arithmetic models for Shimura varieties – Georgios Pappas – ICM2018
Number Theory | Algebraic and Complex Geometry Invited Lecture 3.8 | 4.11 Arithmetic models for Shimura varieties Georgios Pappas Abstract: We describe recent work on the construction of well-behaved arithmetic models for large classes of Shimura varieties and report on progress in the s
From playlist Algebraic & Complex Geometry
Chao Li - 2/2 Geometric and Arithmetic Theta Correspondences
Geometric/arithmetic theta correspondences provide correspondences between automorphic forms and cohomology classes/algebraic cycles on Shimura varieties. I will give an introduction focusing on the example of unitary groups and highlight recent advances in the arithmetic theory (also know
From playlist 2022 Summer School on the Langlands program
Ana Caraiani - 3/3 Shimura Varieties and Modularity
We discuss vanishing theorems for the cohomology of Shimura varieties with torsion coefficients, under a genericity condition at an auxiliary prime. We describe two complementary approaches to these results, due to Caraiani-Scholze and Koshikawa, both of which rely on the geometry of the H
From playlist 2022 Summer School on the Langlands program
Ananth Shankar, Picard ranks of K3 surfaces and the Hecke orbit conjecture
VaNTAGe Seminar, November 23, 2021
From playlist Complex multiplication and reduction of curves and abelian varieties
Wanlin Li, A generalization of Elkies' theorem on infinitely many supersingular primes
VaNTAGe seminar, November 9, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Sophie Morel - 2/3 Shimura Varieties
Depending on your point of view, Shimura varieties are a special kind of locally symmetric spaces, a generalization of moduli spaces of abelian schemes with extra structures, or the imperfect characteristic 0 version of moduli spaces of shtuka. They play an important role in the Langlands
From playlist 2022 Summer School on the Langlands program
Sophie Morel - Shimura Varieties (3/3)
Depending on your point of view, Shimura varieties are a special kind of locally symmetric spaces, a generalization of moduli spaces of abelian schemes with extra structures, or the imperfect characteristic 0 version of moduli spaces of shtuka. They play an important role in the Langlands
From playlist 2022 Summer School on the Langlands program
8ECM EMS Prize Lecture: Ana Caraiani
From playlist 8ECM EMS Prize Lectures
Ana Caraiani - 2/3 Shimura Varieties and Modularity
We describe the Calegari-Geraghty method for proving modularity lifting theorems beyond the classical setting of the Taylor-Wiles method. We discuss the three conjectures that this method relies on (existence of Galois representations, local-global compatibility and vanishing of cohomology
From playlist 2022 Summer School on the Langlands program
On torsion in the cohomology of Shimura varieties - Ana Caraiani
Short Talks by Postdoctoral Members Ana Caraiani - September 21, 2015 http://www.math.ias.edu/calendar/event/88144/1442859300/1442860200 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
The Newton stratification of Shimura varieties - Arno Kret
Arno Kret University of Paris XI; Member, School of Mathematics September 30, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Zeta functions of Siegel threefolds - Gerard Laumon
Automorphic Forms Gerard Laumon April 5, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Conference Agena: h
From playlist Mathematics