ICTP MATHEMATICS SEMINAR - Friday 24 May, at 14:30 - VENUE: Enrico Fermi Building - Room 101 - Shubham Sinha

[ICTP Math Section]

_I C T P  M A T H E M A T I C S  S E M I N A R S  2024_


Friday 24 May 2024, at 14:30

VENUE: ICTP Enrico Fermi Building - Room 101/_(Please note unusual VENUE)_
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Speaker: Shubham Sinha (ICTP)


Title: K-theoretic invariants of Quot schemes of curves


Abstract: In this talk, we will define K-theoretic invariants involving 
certain virtual Euler characteristics of sheaves over the quot scheme of 
a curve. We demonstrate that these invariants fit into a topological 
quantum field theory valued in Z[[q]]. Additionally, we will show that 
the genus-0 invariants recover the small quantum K-ring of 
Grassmannians, offering a new approach for finding explicit formulas. In 
particular, we use torus localisation to obtain a Vafa-Intriligator type 
formula for the virtual Euler characteristics over the quot schemes. 
This is based on a joint work with Ming Zhang.

All are welcome to attend

/https://indico.ictp.it/event/10726/
/

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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