Justifying Random Models of Nonabelian Class Groups

Speaker:

Mark Shusterman

Affiliation:

University of Wisconsin-Madison

Date:

Tue, 04/06/2019 - 12:00 - 12:30

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Enumerative Arithmetic and the Cohen–Lenstra Heuristics", June 3 - 7, 2019 [3]

Recent works by Boston, Wood, and others suggest a balanced presentation random model for 'nonabelian class groups'. We show that over function fields, these class groups (etale fundamental groups) are indeed balanced.