Explore the intricate world of eigenvarieties and their significance in arithmetic through this 57-minute lecture by Daniel Barrera Salazar from Universidad de Santiago de Chile. Delve into the concept of eigenvarieties as moduli spaces of p-adic automorphic forms for reductive groups, with a focus on classical points representing algebraic automorphic forms. Examine the crucial connection between the local geometry of eigenvarieties surrounding classical points and the special values of L-functions, gaining insights into this important area of mathematical research.
Overview
Syllabus
Daniel Barrera Salazar, Universidad de Santiago de Chile: Eigenvarieties and arithmetic
Taught by
IMSA
Tags
Related Courses
-
Anticyclotomic P-adic L-functions for Rankin-Selberg Motives
-
Some Vanishing Results for Rational Completed Cohomology of Shimura Varieties
-
Representations of P-Adic Groups and Applications - Jessica Fintzen
-
Hasse Principle for Reductive Groups over P-Adic Function Fields
-
Algebraic Twists of Automorphic L-Functions
-
From Representations of P-Adic Groups to Congruences of Automorphic Forms
