University of Chicago Algebraic Geometry Seminar

The algebraic geometry seminar is held in Eckhart Hall room 203, on Wednesdays at 4-5pm, unless otherwise specified.
Click here to see the location of Eckhart Hall, and here for driving directions to University of Chicago.
Click here to see older talks.

Winter 2010 Seminars

January 13
David McReynolds (University of Chicago): Every curve is a Teichmuller curve.

Abstract: Recently with Jordan Ellenberg, we proved that every algebraic curve X defined over the algebraic closure of the rationals is birational over the complex numbers to a Teichmuller curve. This talk will touch on some of the main features of the proof, which draw from algebraic geometry, group theory, topology, and representation theory.

January 20
Ozgur Ceyhan: Cosmic Galois Groups

Abstract: P. Cartier envisioned the existence of "cosmic Galois group" as a universal group of symmetries that organizes the structure of the divergences in pQFTs. Along the same line, Kontsevich conjectured a Groethendieck-Teichmuller (GT) group action on Euclidean pQFTs. Connes & Marcolli constructed such a symmetry group as a motivic Galois group by using a particular regularization scheme: Dimensional regularization. In this talk, I am going to illustrate how to reconstructed Connes-Marcolli's cosmic Galois group in a simpler way via Epstein-Glaser renormalizations. Then, I will discuss the relations with Kontsevich's conjecture.

January 27
Ritabrata Munshi (IAS, Princeton): Subconvexity problem for the Rankin-Selberg L-functions

Abstract: see pdf

Here is a link to the complete seminar list

If you have a request for a future speaker or any questions, please contact Luca Scala (lucascala@math.uchicago.edu).