Geometry Seminar

Date: November 18, 2016

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Tim Magee, UT Austin

Title: Log Calabi-Yau mirror symmetry and representation theory

Abstract: Mark Gross, Paul Hacking, Sean Keel, and Bernd Siebert have been developing a mirror symmetry program for log CYs-- varieties U that come with a unique volume form Ω having at worst a simple pole along any divisor in any compactification of U. My goal will be to convince you that this mirror symmetry program actually gives a nice back door into representation theory. I'll focus on a particular example-- finding the structure constants for decomposing a tensor product of GL_n irreps into a sum, the “Littlewood- Richardson coefficients”. We'll get the Knutson-Tao hive cone encoding these constants as part of a broader framework, one that in principal has nothing to do with representation theory at all and should only depend upon having a variety with the right type of volume form.