ICTP Mathematics Seminar - Thursday 10 April, at 15:45 - VENUE: Leonardo Building Room A - Noah Arbesfeld

[ICTP Math Section]

_ICTP MATHEMATICS SEMINARS - 2025
_

Thursday 10 April, at 15:45

VENUE: Leonardo Building - Room A


Speaker: *Noah Arbesfeld* (University of Vienna)


Title: *From instanton moduli space to Vafa-Witten invariants*


*Abstract:* In the 90s, Vafa and Witten studied generating series formed 
from “counts” of solutions to certain gauge theoretic equations on a 
real 4-manifold. For a complex projective surface, the associated series 
display remarkable modular properties.

A mathematical definition of Vafa and Witten’s solution counts was 
proposed by Tanaka-Thomas using the language of algebraic geometry. I 
will recall their definition and explain work in preparation with M. 
Kool and T. Laarakker in which we express a contribution to the 
Vafa-Witten invariants in terms of a certain affine quiver variety, the 
so called "instanton moduli space" of torsion framed sheaves on P^2. In 
particular, I'll explain how to translate properties of instanton moduli 
space into formulas for Vafa-Witten invariants predicted by Göttsche, 
Kool and Laarakker.

All are welcome to attend.

/https://indico.ictp.it/event/11005//

-- 
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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