Starts 4 May 2022 16:00
Ends 4 May 2022 17:00
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ICTP/IGAP seminar on Algebraic Geometry "Computation of the vertical Vafa-Witten invariants II: localization on Hilbert schemes of points"
Online
Leonardo Building - Luigi Stasi Seminar Room
PRESENCE: ICTP Leonardo Da Vinci Building, Luigi Stasi Lecture Room
ONLINE:
Register in advance for this meeting:
https://zoom.us/meeting/register/tJEtd-GvqjorE9BtDAqiw4qFvW-xmtQQ0wOO
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: Last time we used nested Hilbert schemes to express vertical Vafa-Witten invariants of a surface S in terms of (unknown) universal power series, which are generating functions for intersection numbers on Hilbert schemes of points on S. In this lecture we will reduce to the case that the surface S is toric, and then explain how to explicitly compute the generating functions via localization. We will present the formulas obtained. Next time we will sketch how to use Mochizuki's formula to do the same for the horizontal Vafa-Witten invariants.
ONLINE:
Register in advance for this meeting:
https://zoom.us/meeting/register/tJEtd-GvqjorE9BtDAqiw4qFvW-xmtQQ0wOO
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: Last time we used nested Hilbert schemes to express vertical Vafa-Witten invariants of a surface S in terms of (unknown) universal power series, which are generating functions for intersection numbers on Hilbert schemes of points on S. In this lecture we will reduce to the case that the surface S is toric, and then explain how to explicitly compute the generating functions via localization. We will present the formulas obtained. Next time we will sketch how to use Mochizuki's formula to do the same for the horizontal Vafa-Witten invariants.
This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi seminar room, for those wishing to attend in person.