Colloquia

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Mathematics Colloquium

All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.

Fall 2013

date speaker title host(s)
Sept 6 Matt Baker (Georgia Institute of Technology) Riemann-Roch for Graphs and Applications Ellenberg
Sept 13 Uri Andrews (University of Wisconsin)
Sept 20 Valerio Toledano Laredo (Northeastern) Gurevich
Wed, Sept 25, 2:30PM Ayelet Lindenstrauss Meyer
Wed, Sept 25 (Distinguished lecture) Jim Demmel (Berkeley) Gurevich
Thurs, Sept 26 (Distinguished lecture) Jim Demmel (Berkeley) Gurevich
Sept 27 (Distinguished lecture) Jim Demmel (Berkeley) Gurevich
Oct 4 Frank Sottile (Texas A&M) Caldararu
Oct 11 Amie Wilkinson (Chicago) WIMAW (Cladek)
Tues, Oct 15 (Distinguished Lecture) Alexei Borodin (MIT) Valko
Oct 18 No colloquium due to the distinguished lecture
Oct 25 Paul Garrett (Minnesota) Gurevich
Nov 1 Allison Lewko (Microsoft Research New England) Stovall
Nov 8 Tim Riley (Cornell) Dymarz
Nov 15 and later Reserved Street

Spring 2014

date speaker title host(s)
Jan 24
Jan 31 Urbashi Mitra (USC) Gurevich
Feb 7 David Treumann (Boston College) Street
Feb 14
Feb 21
Feb 28
March 7
March 14
March 21 Spring Break No Colloquium
March 28 Michael Lacey (GA Tech) The Two Weight Inequality for the Hilbert Transform Street
April 4 Kate Jushchenko (Northwestern) Dymarz
April 11 Risi Kondor (Chicago) Gurevich
April 18 (Wasow Lecture) Christopher Sogge (Johns Hopkins) A. Seeger
April 25 Charles Doran(University of Alberta) Song
May 2 Lek-Heng Lim (Chicago) Boston
May 9 Rachel Ward (UT Austin) WIMAW

Abstracts

Sep 6: Matt Baker (GA Tech)

Riemann-Roch for Graphs and Applications

We will begin by formulating the Riemann-Roch theorem for graphs due to the speaker and Norine. We will then describe some refinements and applications. Refinements include a Riemann-Roch theorem for tropical curves, proved by Gathmann-Kerber and Mikhalkin-Zharkov, and a Riemann-Roch theorem for metrized complexes of curves, proved by Amini and the speaker. Applications include a new proof of the Brill-Noether theorem in algebraic geometry (work of by Cools-Draisma-Payne-Robeva), a "volume-theoretic proof" of Kirchhoff's Matrix-Tree Theorem (work of An, Kuperberg, Shokrieh, and the speaker), and a new Chabauty-Coleman style bound for the number of rational points on an algebraic curve over the rationals (work of Katz and Zureick-Brown).

March 28: Michael Lacey (GA Tech)

The Two Weight Inequality for the Hilbert Transform

The individual two weight inequality for the Hilbert transform asks for a real variable characterization of those pairs of weights (u,v) for which the Hilbert transform H maps L^2(u) to L^2(v). This question arises naturally in different settings, most famously in work of Sarason. Answering in the positive a deep conjecture of Nazarov-Treil-Volberg, the mapping property of the Hilbert transform is characterized by a triple of conditions, the first being a two-weight Poisson A2 on the pair of weights, with a pair of so-called testing inequalities, uniform over all intervals. This is the first result of this type for a singular integral operator. (Joint work with Sawyer, C.-Y. Shen and Uriate-Tuero)

Past talks

Last year's schedule: Colloquia 2012-2013