Starts 18 May 2022 16:30
Ends 18 May 2022 17:30
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ICTP/IGAP Algebraic Geometry Seminar: Mochizuki's formula and the horizontal Vafa-Witten invariants
Online
Leonardo Building - Luigi Stasi Seminar Room
Register in advance for this meeting:
https://zoom.us/meeting/register/tJAldOuoqTkiEtDRPyfZcKmD4WXPD29fNcow
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https://zoom.us/meeting/register/tJAldOuoqTkiEtDRPyfZcKmD4WXPD29fNcow
After registering, you will receive a confirmation email containing information about joining the meeting.
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.
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.
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.