NTSGrad Fall 2021/Abstracts

From UW-Math Wiki
Revision as of 01:24, 23 October 2021 by Yfu68 (talk | contribs) (→‎Oct 26)
Jump to navigation Jump to search

This page contains the titles and abstracts for talks scheduled in the Fall 2021 semester. To go back to the main GNTS page, click here.


Sep 14

Hyun Jong Kim
What would Jordan do?
In his notes for students, Jordan has a list of general topics and references in number theory/algebraic geometry/arithmetic geometry that students in arithmetic geometry should be comfortable with after a certain point of time. I will introduce some language used in these general topics for beginners.


Sep 21

Peter YI WEI
The S-Unit equation: p-adic approaches
In this talk, I will go over the history of rational/integral points on curves. In particular, I will introduce a recent proof of the S-unit equation using p-adic period maps, given by Lawrence-Venkatesh.


Sep 28

TBA
TBA


|}


Oct 5

Yifan Wei
Lifting a smooth curve from char p to char 0
Geometry over char p is fascinating or frustrating, depending on who you are. However varieties over char 0 could be enjoyed by geometers of all kinds. We will dicuss one way of lifting a smooth projective variety from char p to char 0. After applying our technique to curves we briefly mention the situation in higher dimensions. And if time permits, we discuss a non-liftable example by Serre.


Oct 12

TBA
TBA


Oct 19

TBA
TBA


Oct 26

Di Chen
Special values of zeta functions at positive even integers
I will introduce Euler's classical result over Q, Klingen-Siegel theorem over totally real number fields, and Zagier's theorems and conjectures over general number fields. I will give many examples and discuss their proofs. If time permits, I will discuss its relation with K-theory.


Nov 2

TBA
TBA


Nov 9

TBA
TBA


Nov 16

TBA
TBA



Nov 23

TBA
TBA



Nov 30

TBA
TBA



Dec 7

TBA
TBA



Dec 14

TBA
TBA