Date: Monday, December 06, 2021
Location: 4088 East Hall (3:00 PM to 3:50 PM)
Title: Nonabelian CohenLenstra heuristics in presence of roots of unity
Abstract: We will first take a brief tour of the CohenLenstra 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 (EllenbergVenkateshWesterland), how to modify the heuristics when the base field contains roots of unity (LipnowskiTsimerman and LipnowskiTsimermanSawin), and how to construct the nonabelian generalization of the heuristics (LiuWoodZureickBrown). In the end, I'll discuss the modification of the nonabelian CohenLenstra heuristics when the base field contains roots of unity, and the construction of a nonabelian random group model for this case.
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Speaker: Yuan Liu
Institution: University of Michigan
Event Organizer:
