Szilard Szabo: Logarithmic lambda-connections, singular opers and Hilbert schemes of points on ruled surfaces
2019-04-04 13:30 - 15:30 | Big Seminar room Ground floor / Office Bldg West (I21.EG.101), ISTA
Speaker: Szilard Szabo
hosted by Tamas Hausel
Abstract: I'll start by introducing the notions of logarithmic lambda-connections, parabolic structure, stability, moduli space, and Hilbert scheme of points on surfaces.Then I'll go on to discuss apparent singularities of lambda-connections, elementary transformations and opers. In the second part of the talk I will explain joint work with Masa-Hiko Saito on a birational map between the moduli space of stable parabolic logarithmic Higgs bundles on a smooth projective curve C and the Hilbert scheme of points on a ruled surface over C. I end the talk by discussing the indeterminacy locus of this birational map.
