Averages of ptorsion in class groups over function fieldsgood and bad primes
Recent developments in Analytic Number Theory May 01, 2017  May 05, 2017
Location: SLMath: Eisenbud Auditorium
Class Field Theory
CohenLenstra statistics
function fields
ptorsion
quadratic fields
Wood
When we consider the average size of the ptorsion in class groups of quadratic fields, the behavior for p=2 is controlled by genus theory and is different from the conjectured behavior for odd primes, which is uniform in a certain sense over all odd primes. In this talk, we will consider the question when quadratic fields are replaced by fields of higher degreefor which primes p are the class group averages "bad" versus "good"? We will explain some theorems on class group averages for extensions of function fields that show some subtleties in the classification of good and bad primes
Wood.Notes

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