Hauptseminar Geometrie

Let \Lambda be a D-algebra in the sense of Bernstein and Beilinson. Higgs bundles, vector bundles with flat connections, co-Higgs bundles... are examples of \Lambda-modules for particular choices of \Lambda. Simpson studied the moduli problem for the classification of \Lambda-modules over Kahler varieties, proving the existence of a moduli space Lambda-modules. Using the Polishchuck-Rothstein transform for modules of D-algebras over abelian varieties, we obtain a description of the moduli spaces of \Lambda-modules of rank 1. We also proof that polystable \Lambda module decompose as a direct sum of rank 1 \Lambda-modules. This allow us to describe the module spaces of arbitrary rank.

Donnerstag, den 28. Januar 2016 um 12:00 Uhr, in INF288, HS5 Donnerstag, den 28. Januar 2016 at 12:00, in INF288, HS5

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Anna Wienhard