Ruprecht-Karls-Universität Heidelberg
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„Connected components of moduli of parabolic $G$-Higgs bundles“
Georgios Kydonakis, Universität de Strasbourg, Frankreich

Hauptseminar Geometrie "Connected components of moduli of parabolic G-Higgs bundles" Georgios Kydonakis, Université de Strasbourg, Frankreich Abstract: For a semisimple real Lie group G, a non-abelian Hodge type correspondence provides a 1-1 correspondence between fundamental group representations of a surface with boundary into G, and G-Higgs bundles equipped with a parabolic structure over the points of a divisor D of finitely many distinct points on the Riemann surface X. In this talk, we discuss topological properties of connected components of the parabolic G-Higgs bundle moduli space for the cases when G is split real and when G is of Hermitian type. A correspondence of parabolic Higgs bundles over X to orbifold Higgs bundles over a finite Galois covering Y of X ramified along the divisor D, opens the way to new topological invartiants for further investigation of these components. Joint work with Hao Sun and Lutian Zhao.  Dienstag, den 15. Januar 2019 um 13.00 Uhr, SR C, EG, INF 205 Um 12.15 Uhr gemeinsamer Imbiss im Besprechungsraum 03.414, 3.OG, INF 205

Dienstag, den 15. Januar 2019 um 13.00 Uhr, in INF205, SRC Dienstag, den 15. Januar 2019 at 13.00, in INF205, SRC

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard, Prof. Dr. Peter Albers