ALGEBRAIC GEOMETRY SEMINAR - Tuesday 7 November, at 13:30 - Sinha

[ICTP/math - Di Giovannantonio Margherita]

ALGEBRAIC GEOMETRY SEMINAR  on "Quantum K-invariants of Grassmannian via 
Quot scheme"

Tuesday 7 November 2023, from 13:30 to 14:30

Venue: ICTP Leonardo Building - Luigi Stasi Seminar Room


Speaker: Shubham Sinha (ICTP)


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 
P^1. 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./

/
/

https://indico.ictp.it/event/10573/