NTSGrad Fall 2020/Abstracts
From UW-Math Wiki
This page contains the titles and abstracts for talks scheduled in the Fall 2020 semester. To go back to the main GNTS page, click here.
Sep 15
Qiao He |
Local Arithmetic Siegel-Weil Formula at Ramified Prime |
In this talk, I will describe a local arithmetic Siegel-Weil formula which relates certain intersection number on U(1,1) Rapoport-Zink space with local density. Via p-adic uniformization, this can be used to establish a global Siegel-Weil formula. The main novelty of this work is that we consider the ramified case. This is a joint work with Yousheng Shi and Tonghai Yang. |
Sep 22
Johnny Han |
Bounding Numbers Fields up to Discriminant |
For those interested in arithmetic statistics, I'll present a quick proof of Schmidt's bound on numbers fields of given degree and bounded discriminant, as well as giving a quick overview of recent improvements on this bound by Ellenberg and Venkatesh. |
Sep 29
Brandon Boggess |
Dial M_{1,1} for moduli |
We'll try to give a brief introduction to moduli problems, with an eye towards moduli of elliptic curves. |
Oct 6
Eiki Norizuki |
Dial M_{1,1} for moduli |
This will be a prep talk for Wednesday's NTS talk by Shamgar Gurevich. We will talk about the character ratio of the transvection in GL_n(F_q) and results concerning this quantity. |