Abstract: We state the structure theorem of Laarakker for the vertical Vafa-Witten invariants of a projective surface S. We introduce nested Hilbert schemes (an incidence variety in products of Hilbert schemes of points and curves on the surface S), and their relation to vertical components of Vafa-Witten moduli spaces. We describe how the vertical Vafa-Witten invariants can be computed in terms of nested Hilbert schemes. We sketch the proof of Laarakker's structure theorem.
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 (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.