dr. Tortella's seminar

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT

Pietro Tortella (SISSA)

Title:
Moduli spaces of flat connections and Higgs bundles on abelian varieties

Abstract:
I will give a description of moduli spaces of vector bundles with 
additional structures (for example flat connections and Higgs bundles) 
on an abelian variety.
The main result is that, under some assumption on the Hilbert 
polynomial, these are isomorphic to the symmetric product of the moduli 
space of rank one objects. The main tool is a generalization of the 
Fourier-Mukai correspondence due to Laumont and Polishuck-Rothstein.
Moreover, we find a correspondence between the Hilbert scheme of points 
of the moduli space of rank one objects and the moduli space of a 
rigidification of the original moduli problem.
This is a joint work with E. Franco

Venue: SISSA, Wednesday 16 December at 4 pm in lecture room 136