NTSGrad Spring 2018/Abstracts

From UW-Math Wiki
Revision as of 22:18, 21 January 2018 by Soumyasankar (talk | contribs)
Jump to: navigation, search

This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click here.

Jan 23

Solly Parenti
Rankin-Selberg L-functions

What do you get when you cross an Eisenstein series with a cuspform? An L-function! Since there's no modular forms course this semester, I will try to squeeze in an entire semester's course on modular forms during the first part of this talk, and then I'll explain the Rankin-Selberg method of establishing analytic continuation of certain L-functions.

Jan 30

Wanlin Li


Feb 6

Dongxi Ye
Modular Forms, Borcherds Lifting and Gross-Zagier Type CM Value Formulas

During the course of past decades, modular forms and Borcherds lifting have been playing an increasingly central role in number theory. In this talk, I will partially justify these by discussing some recent progress on some topics in number theory, such as representations by quadratic forms and Gross-Zagier type CM value formulas.