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The motivic Satake equivalence

NUMBER THEORY

April 7, 2021      3:00 pm
Speaker: Timo Richarz - TU Darmstadt

The geometric Satake equivalence due to Lusztig, Drinfeld, Ginzburg, Mirković and Vilonen is an indispensable tool in the Langlands program. Versions of this equivalence are known for different cohomology theories such as...
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Single-valued Hodge, p-adic^2, and tropical integration

NUMBER THEORY

March 24, 2021      3:00 pm
Speaker: Daniel Litt - University of Georgia

I'll discuss 4 different types of integration -- one in the complex setting, one in the tropical setting, and two in the p-adic setting, and the relationships between them. In particular, we...
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Modular forms on G_2

NUMBER THEORY

March 17, 2021      3:00 pm
Speaker: Aaron Pollack - UCSD

Following work of Gross-Wallach, Gan-Gross-Savin defined what are called "modular forms" on the split exceptional group G_2.  These are a special class of automorphic forms on G_2.   I'll review their...
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Existence of CM lifts for points on Shimura varieties

NUMBER THEORY

March 10, 2021      3:00 pm
Speaker: Keerthi Madapusi Pera - Boston College

I'll explain a very simple proof of the fact that K3 surfaces of finite height admit (many) CM lifts, a result due independently to Ito-Ito-Koshikawa and Z. Yang, which was...
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Equidistribution and Uniformity in Families of Curves

NUMBER THEORY

March 3, 2021      3:00 pm
Speaker: Lars Kühne - University of Copenhagen

In the talk, I will present an equidistribution result for families of (non-degenerate) subvarieties in a (general) family of abelian varieties. This extends a result of DeMarco and Mavraki for...
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Analytic geometry

NUMBER THEORY

February 3, 2021      3:00 pm
Speaker: Peter Scholze - University of Bonn

We will outline a definition of analytic spaces that relates to complex- or rigid-analytic varieties in the same way that schemes relate to algebraic varieties over a field. Joint with...
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Arithmetic dynamics of random polynomials

NUMBER THEORY

January 27, 2021      3:00 pm
Speaker: Niki Myrto Mavraki - Harvard University

We begin with an introduction to arithmetic dynamics and heights attached to rational maps. We then introduce a dynamical version of Lang's conjecture concerning the minimal canonical height of non-torsion...
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