TRINO

Speaker: Okke van Garderen (SISSA)

Title: TBA

Venue: 26 November @ 11:00, Dubrovin Lecture Room 136 (SISSA)

Abstract: TBA

Speaker: Riccardo Ontani (ICTP)

Title: K-theoretic Jeffrey-Kirwan localisation

Venue: 29 October @ 14:30, Room 134 (SISSA)

Abstract: In this talk I'll discuss a localisation technique for computing (virtual) K-theoretic invariants of quotients.
Loosely speaking, the invariants of a GIT quotient X//G can be recovered as the "G-invariant part" of some corresponding equivariant invariants of X. Averaging over the group G gives a way to extract this invariant part. One can then combine this averaging procedure with equivariant localisation on X, thus obtaining a localisation formula for the invariants of X//G. This is based on joint work with Richard Thomas.

Speaker: Maria Teresa Ruggiero (University of Pavia)

Title: Generalizations of the Scorza correspondence

Venue: 19 October @ 16:00, Room 134 (SISSA)

Abstract: In this talk, I will discuss generalizations of the Scorza correspondence associated with a general even spin curve (C,\eta).
I will first present a new proof of the smoothness of the classical Scorza curve, a result originally established by Farkas and Verra.
I will then introduce higher-order analogues of the Scorza correspondence and study their geometry. In particular, I will discuss their classes in the Néron-Severi group, together with their singularities and genera.
Finally, I will consider a higher-dimensional version of the construction. Focusing on the threefold case, I will describe its class and its smoothness properties away from a naturally defined degeneracy locus.