Starts 7 Nov 2023 13:30
Ends 7 Nov 2023 14:30
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ALGEBRAIC GEOMETRY SEMINAR: Quantum K-invariants of Grassmannian via Quot scheme
ICTP
Leonardo Building - Luigi Stasi Seminar Room
Abstract: In this talk, I will define K-theoretic invariants of the Quot scheme that parametrizes rank-r subsheaves of rank-N trivial bundle on P1. We use the wall-crossing techniques to show that they agree with the genus-zero quantum K-invariants of the Grassmannian G(r,N) when the number of markings is three or fewer. I will present bialternant-type formulas for the K-theoretic Quot scheme invariants. These invariants, in conjunction with the K-theoretic Littlewood-Richardson rule, provide a comprehensive description of the Quantum K-invariants of G(r,N). As an application, we will derive a new proof of the finiteness of the quantum product and establish new identities and vanishing results.
This is a joint work with Ming Zhang.