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RTG Seminar on Number Theory Seminar

Non-abelian Cohen--Lenstra heuristics in presence of roots of unity
Monday, December 6, 2021
3:00-3:50 PM
4088 East Hall Map
We will first take a brief tour of the Cohen--Lenstra heuristics and its generalizations. In particular, I'll talk about: how these heuristics are related to random matrices, how to use Hurwitz schemes to prove the function field case (Ellenberg--Venkatesh--Westerland), how to modify the heuristics when the base field contains roots of unity (Lipnowski--Tsimerman and Lipnowski--Tsimerman--Sawin), and how to construct the non-abelian generalization of the heuristics (Liu--Wood--Zureick-Brown). In the end, I'll discuss the modification of the non-abelian Cohen--Lenstra heuristics when the base field contains roots of unity, and the construction of a non-abelian random group model for this case. Speaker(s): Yuan Liu (University of Michigan)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics