THE SEMINAR

THEORY OF DUALITY

DEPARTMENT OF MATHEMATICAL METHODS IN PHYSICS



On the 21st of April 2016, at 10:15 a.m.

Ivona Grzegorczyk (CSUCI, Camarillo, USA)

will give a talk on

"Stable holomorphic vector bundles on Riemann surfaces"

Abstract
We study moduli spaces of stable (in the sense of geometric invariant theory) vector bundles on Riemann surfaces. We report on the current state of the Brill—Noether problem that classifies bundles with global sections (i.e. non-trivial vector fields). We show various examples (including Higgs bundles), calculations of numerical invariants and specific bundle constructions.

The seminar takes place on Thursdays from 10:15 a.m. to 12:00 in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5, Warszawa.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.