Hauptseminar Geometrie

Let $S$ be a connected Riemann surface. The Cayley correspondence for symplectic Higgs bundles gives a bijection between the moduli space of (polystable) maximal Sp(2n,R)-Higgs bundles on S, and the moduli space of (polystable) $K^2$ twisted GL(n,R)-Higgs bundles on S. The Hitchin-Kobayashi correspondence states that polystability is equivalent in each case to the existence of solution to some natural equations. The equations corresponding to the two moduli spaces related by the Cayley correspondence are different. We will explain a relation between them, by using a natural parameter in the equations for Sp(2n,R)-Higgs bundles and making it go to infinity.

Montag, den 26. November 2012 um 12:00 Uhr, in INF 288, HS 6 Montag, den 26. November 2012 at 12:00, in INF 288, HS 6

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