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FIELD Math:Geometry
DATE October 13 (Fri), 2017
TIME 16:00-17:30
PLACE 8101
SPEAKER Goller, Thomas
HOST Kim, Bumsig
INSTITUTE KIAS
TITLE Quot Schemes on Curves and wTQFT
ABSTRACT

I will introduce a weighted topological quantum field theory (wTQFT) that assembles information about Quot schemes of general vector bundles on algebraic curves. This wTQFT can be explicitly described using the quantum cohomology of the Grassmannian. Moreover, it can be used to compute the numbers of points of zero-dimensional Quot schemes, yielding the Verlinde numbers. I will explain how the use of general vector bundles ensures that the Quot schemes have the expected dimension and a well-behaved intersection theory, which are important in the definition of the wTQFT.

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