UCSD Number Theory Seminar (Math 209)

Thursday 2-3pm, AP&M 7321 (this is the usual room but its number has changed)

This quarter, most talks will be preceded by a 30-minute "prep talk" for graduate students and postdocs. These will be in AP&M 7321 starting at 1:15pm.
Don't forget to register for Math 209 if you are a graduate student. We are eligible for department funding as long as we maintain sufficient enrollment.

Fall Quarter 2019

For previous quarters' schedule, click here.


September 26

NO MEETING

October 3

ORGANIZATIONAL MEETING

October 10

Harry Smit (Utrecht) + pre-talk 1:15-1:45
L-functions and isogenies of abelian varieties

Faltings's isogeny theorem states that two abelian varieties over a number field are isogenous precisely when the characteristic polynomials associated to the reductions of the abelian varieties at all prime ideals are equal. This implies that two abelian varieties defined over the rational numbers with the same L-function are necessarily isogenous, but this is false over a general number field. In order to still use the L-function to determine the underlying field, we extract more information from the L-function by twisting: a twist of an L-function is the L-function of the tensor of the underlying representation with a character. We discuss a theorem stating that abelian varieties over a general number field are characterized by their L-functions twisted by Dirichlet characters of the underlying number field.

October 18 (Friday), 4:30pm

Ruochuan Liu (Peking University)
On p-adic Simpson correspondence

I will report some recent progress on the p-adic Simpson correspondence.

October 24

Peter Wear (UCSD)
TBA

TBA

October 31

Joe Ferrara (UCSD)
TBA

TBA

November 7

Joe Kramer-Miller (UC Irvine)
TBA

TBA

November 14

TBA
TBA

TBA

November 21

TBA
TBA

TBA

November 28

NO MEETING (Thanksgiving)

December 5

TBA
TBA

TBA