ICTP/IGAP seminar on Algebraic Geometry - Wednesday, 16 February, at 16:00/hybrid

[ICTP/math - Mabilo Koutou]

ICTP/IGAP seminar on Algebraic Geometry

Title: Refined invariants and Vafa-Witten invariants

Speaker: Lothar Goettsche (ICTP)

Starts 16 Feb 2022 16:00
Ends 16 Feb 2022 17:00
Central European Time

Online
Please Register in advance for this meeting:
https://zoom.us/meeting/register/tJMpcOytrDooH9Sk3Bb3_FcxTLG_Wb1G_OhS 
After registering, you will receive a confirmation email containing
information about joining the meeting.

Presence
ICTP Leonardo Da Vinci Building - Budinich Lecture Hall (only if provided
with a green pass)

Abstract: In the last lecture we introduced moduli spaces of sheaves on
surface and then defined perfect obstruction theories and virtual
invariants. We start this lecture by applying this to define the virtual
Euler numbers of moduli spaces of sheaves, and their refinement by the
virtual chi_y-genus.

We will then introduce the moduli space of Higgs pairs and use it to
define Vafa-Witten invariants. This also requires a review of localization
and virtual localization with respect to $C^*$-actions.

This will be a hybrid seminar. All are very welcome to join either online
or in person (if provided with a green pass). Venue: Luigi Stasi seminar
room, for those wishing to attend in person.

More information are available at this page:
http://indico.ictp.it/event/9877/