The Arithmetics Statistic postdoc seminar, organized by Jonathan Bober and Kaneenika Sinha, meets Mondays from 10 to 10:50 a.m. The Free Boundary Problems postdoc seminar meets immediately afterwards, and then MSRI will have pizza for us at 12.
The current tentative schedule is below.
Date |
Speaker |
Title |
February 7th |
Andrew Yang |
Low-Lying zeros of Dedekind zeta functions |
February 14th |
Jonathan Bober |
|
February 21st |
NO MEETING |
Washington's Birthday |
February 28th |
Sonal Jain |
|
March 7th |
Fredrik Stroemberg |
|
March 14th |
Robert Miller |
The fake Selmer set |
March 21st |
Rob Rhoades |
|
March 28th |
Karl Mahlburg |
|
April 4th |
Brooke Faigon |
|
April 11th |
NO MEETING |
Workshop |
April 18th |
|
|
April 25th |
Kaneenika Sinha |
|
May 2nd |
Alina Bucur |
|
May 9th |
|
|
May 16th |
|
|
Abstracts
- February 7th, Andrew Yang: "Low-Lying zeros of Dedekind zeta functions"
- Abstract: The Katz-Sarnak philosophy asserts that to any "naturally defined family" of L-functions, there should be an associated symmetry group which determines the distribution of the low-lying zeros (as well as other statistics) of those L-functions. We consider the family of Dedekind zeta functions of cubic number fields, and we predict that the associated symmetry group is symplectic. There are three main ingredients: the explicit formula, work of Davenport-Heilbronn on counting cubic fields and the proportion of fields in which rational primes have given splitting type, and power-saving error terms for these counts, first obtained by Belabas-Bhargava-Pomerance.