- Series
- Athens-Atlanta Number Theory Seminar
- Time
- Thursday, April 14, 2016 - 4:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Melanie Matchett-Wood – University of Wisconsin
- Organizer
- Matt Baker
The Cohen-Lenstra Heuristics conjecturally give the distribution of class
groups of imaginary quadratic fields. Since, by class field theory, the
class group is the Galois group of the maximal unramified abelian
extension, we can consider the Galois group of the maximal unramified
extension as a non-abelian generalization of the class group. We will
explain non-abelian analogs of the Cohen-Lenstra heuristics due to Boston,
Bush, and Hajir and joint work with Boston proving cases of the non-abelian
conjectures in the function field analog.