Difference between revisions of "Colloquia"
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== Abstracts == | == 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) === | ===March 28: Michael Lacey (GA Tech) === | ||
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with a pair of so-called testing inequalities, uniform over all | with a pair of so-called testing inequalities, uniform over all | ||
intervals. This is the first result of this type for a singular | intervals. This is the first result of this type for a singular | ||
− | integral operator. (Joint work with Sawyer, C.-Y. Shen and Uriate-Tuero) | + | integral operator. (Joint work with Sawyer, C.-Y. Shen and Uriate-Tuero) |
== Past talks == | == Past talks == | ||
Last year's schedule: [[Colloquia 2012-2013]] | Last year's schedule: [[Colloquia 2012-2013]] |
Revision as of 15:44, 15 August 2013
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 | Ayelet Lindenstrauss | Meyer | |||
Sept 27 (Distinguished lecture) | Jim Demmel (Berkeley) | Gurevich | |||
Oct 4 | Frank Sottile (Texas A&M) | Caldararu | |||
Oct 11 | Amie Wilkinson (Chicago) | WIMAW (Cladek) | |||
Oct 15 | Reserved for a distinguished lecture | Valko | |||
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 | |||
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