Number Theory Seminar

Date:
Oct
06
2022

Joint IAS/PU Number Theory Seminar

New Cohen-Lenstra heuristics by constructing measures from moments
Will Sawin
4:30pm|Simonyi Hall 101 and Remote Access

The Cohen-Lenstra heuristics give predictions for the distribution of the class groups of a random quadratic number field. Cohen and Martinet generalized them to predict the distribution of the class groups of random extensions of a fixed base field...

Oct
13
2022

Joint IAS/PU Number Theory Seminar

A visit to 3-manifolds in the quest to understand random Galois groups
Melanie Matchett Wood
4:30pm|Princeton University, Fine Hall 214

Cohen, Lenstra, and Martinet gave conjectural distributions for the class group of a random number field. Since the class group is the Galois group of the maximum abelian unramified extension, a natural generalization would be to give a conjecture...