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Department of Mathematics,
University of California San Diego

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Math 208 - Algebraic Geometry Seminar

Yalong Cao

IPMU

Gopakumar-Vafa type invariants for Calabi-Yau 4-folds

Abstract:

Gopakumar-Vafa type invariants on Calabi-Yau 4-folds (which are non-trivial only for genus zero and one) are defined by Klemm-Pandharipande from Gromov-Witten theory, and their integrality is conjectured. In this talk, I will explain how to give a sheaf theoretical interpretation of them using counting invariants on moduli spaces of one dimensional stable sheaves. \\ \\ Based on joint works with D. Maulik and Y. Toda.

Host: Dragos Oprea

January 22, 2021

3:00 PM

Contact David Stapleton, dstapleton@ucsd.edu, for zoom access

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