MathCS Seminar

Title: Quantum Kostka and the rank on problem for $sl_{2m}$
Seminar: Algebra
Speaker: Natalie Hobson of University of Georgia
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2017-02-14 at 4:00PM
Venue: W306
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Abstract:
In this talk we will define and explore an infinite family of vector bundles, known as vector bundles of conformal blocks, on the moduli space $M_{0,n}$ of marked curves. These bundles arise from data associated to a simple Lie algebra. We will show a correspondence (in certain cases) of the rank of these bundles with coefficients in the cohomology of the Grassmannian. This correspondence allows us to use a formula for computing "quantum Kostka" numbers and explicitly characterize families of bundles of rank one by enumerating Young tableaux. We will show these results and illuminate the methods involved.

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