Shimura Varieties and the Bernstein Center - Tom Haines
Shimura Varieties and the Bernstein Center - Tom Haines University of Maryland; von Neumann Fellow, School of Mathematics December 6, 2010 The local Langlands conjecture (LLC) seeks to parametrize irreducible smooth representations of a p-adic group G in terms of Weil-Deligne parameters. B
From playlist Mathematics
Arthur's trace formula and distribution of Hecke eigenvalues for GL(n) - Jasmin Matz
Jasmin Matz Member, School of Mathematics February 23, 2015 A classical problem in the theory of automorphic forms is to count the number of Laplace eigenfunctions on the quotient of the upper half plane by a lattice LL. For LL a congruence subgroup in SL(2,ℤ)SL(2,Z) the Weyl law was prov
From playlist Mathematics
The geometric theory of automorphic...possible surprises I - Robert Langlands
Beyond Endoscopy Topic: The geometric theory of automorphic forms over Riemann surfaces as a theory of eigenfunctions of Hecke operators and its possible surprises I Speaker: Robert Langlands, Professor Emeritus, School of Mathematics Time/Room: 10:45am - 11:35am/S-101 More videos on htt
From playlist Mathematics
Kalani Thalagoda - Bianchi modular forms
Bianchi Modular Forms are generalizations of classical modular forms for imaginary quadratic fields. Similar to the classical case, we can use the theory of modular symbols for computation. However, when the class group of the field is non-trivial, we can only compute certain components of
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Modularity of Galois Representations - Christopher Skinner
Automorphic Forms Christopher Skinner April 4, 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 Ag
From playlist Mathematics
Ting Xue: Character sheaves, Hecke algebras and Hessenberg varieties
28 September 2021 Abstract: We discuss character sheaves in the setting of graded Lie algebras. Via a nearby cycle construction irreducible representations of Hecke algebras of complex re ection groups at roots of unity enter the description of character sheaves. Recent work of Lusztig an
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 1) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
A derived Hecke algebra in the context of the mod pp Langlands program -Rachel Ollivier
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: A derived Hecke algebra in the context of the mod pp Langlands program Speaker: Rachel Ollivier Affiliation: University of British Columbia Date: November 8, 2017 For more videos, please visit
From playlist Mathematics
Pseudorepresentations and the Eisenstein ideal - Preston Wake
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Pseudorepresentations and the Eisenstein ideal Speaker: Preston Wake Affiliation: University of California, Los Angeles Date: November 9, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program
VaNTAGe Seminar, April 5, 2022 License: CC-BY-NC-SA Some relevant links: Edixhoven-Couveignes-de Jong-Merkl-Bosman: https://arxiv.org/abs/math/0605244 Ramanujan's 1916 paper: http://ramanujan.sirinudi.org/Volumes/published/ram18.pdf Delta's home page in the LMFDB: https://www.lmfdb.org/
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)