Mochizuki's formula and the horizontal Vafa-Witten invariants

Abstract: In this lecture compute the horizontal Vafa-Witten invariants, by using Mochizuki's formula, which allows to reduce the computation to Hilbert schemes of points.

Then one can localization in a very similar way as for the vertical Vafa-Witten invariants. This computation confirms some of the predictions of S-duality in ranks 2 and 3.

Furthermore, combining with the computations of $S$-duality we predict the generating functions for the horizontal Vafa-Witten invariants in rank at most 5.

algebraic geometry

Audience: researchers in the topic

Comments: Register in advance for this meeting: zoom.us/meeting/register/tJAldOuoqTkiEtDRPyfZcKmD4WXPD29fNcow After registering, you will receive a confirmation email containing information about joining the meeting.

This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi Lecture Room (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.

ICTP/IGAP Algebraic Geometry Seminar