| Talk_id | Date | Speaker | Title |
|
26943
|
Tuesday 1/26
4:30 PM
|
Luis Silvestre, University of Chicago
|
Integro-differential diffusion and the Boltzmann equation
- Luis Silvestre, University of Chicago
- Integro-differential diffusion and the Boltzmann equation
- 01/26/2021
- 4:30 PM - 5:30 PM
- Online (virtual meeting)
- Aaron D Levin (levina@msu.edu)
Integro-differential equations have been a very active area of research in the last 20 years. In this talk we will explain what they are and in what sense they are similar to more classical parabolic partial differential equations. We will discuss results on regularity estimates for the Boltzmann equation in this context.
|
|
26944
|
Tuesday 2/2
4:00 PM
|
Samit Dasgupta, Duke University
|
Stark's Conjectures and Hilbert's 12th Problem
- Samit Dasgupta, Duke University
- Stark's Conjectures and Hilbert's 12th Problem
- 02/02/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
In this talk we will discuss two central problems in algebraic number theory and their interconnections: explicit class field theory (also known as Hilbert's 12th Problem), and the special values of L-functions. The goal of explicit class field theory is to describe the abelian extensions of a ground number field via analytic means intrinsic to the ground field. Meanwhile, there is an abundance of conjectures on the special values of L-functions at certain integer points. Of these, Stark's Conjecture has special relevance toward explicit class field theory. I will describe my recent proof, joint with Mahesh Kakde, of the Brumer-Stark conjecture away from p=2. This conjecture states the existence of certain canonical elements in CM abelian extensions of totally real fields. Next I will describe our proof of an exact formula for these Brumer-Stark units that had been developed by many authors over the last 15 years. We show that the Brumer-Stark units along with other elementary quantities generate the maximal abelian extension of totally real number fields, thereby giving a solution to Hilbert's 12th problem for these fields.
|
|
26950
|
Tuesday 2/9
4:00 PM
|
Jordan Ellenberg, University of Wisconsin–Madison
|
TBA
- Jordan Ellenberg, University of Wisconsin–Madison
- TBA
- 02/09/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
|
26971
|
Tuesday 2/16
4:00 PM
|
Walter Strauss, Brown University
|
TBA
- Walter Strauss, Brown University
- TBA
- 02/16/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
|
26945
|
Tuesday 3/9
4:00 PM
|
Andrea Nahmod, University of Massachusetts Amherst
|
TBA
- Andrea Nahmod, University of Massachusetts Amherst
- TBA
- 03/09/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
|
26946
|
Tuesday 3/16
4:00 PM
|
Martin Olsson, UC Berkeley
|
TBA
- Martin Olsson, UC Berkeley
- TBA
- 03/16/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
|
26947
|
Tuesday 4/6
4:00 PM
|
Emily Riehl, Johns Hopkins University
|
TBA
- Emily Riehl, Johns Hopkins University
- TBA
- 04/06/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
|
26948
|
Tuesday 4/13
4:00 PM
|
Adrian Ioana, UC San Diego
|
TBA
- Adrian Ioana, UC San Diego
- TBA
- 04/13/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
|
26949
|
Tuesday 4/20
4:00 PM
|
Nicolas Addington, University of Oregon
|
TBA
- Nicolas Addington, University of Oregon
- TBA
- 04/20/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Aaron D Levin ()
TBA
|
