On the motives of moduli space of parabolic Higgs bundles

Time: 16:30 pm, 20 November

Venue: Room 612, A6, Institute of Mathematics-VAST

Online (Join Zoom Meeting) tại link: https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

Abstract: Parabolic Higgs bundles were introduced by Simpson as a natural object to consider extending non-abelian Hodge theory to punctured Riemann surfaces. In “Mirror symmetry, Langland duality, and the Hitchin system, Invent. Math. 153 (2003) (1), 197-229”, Hausel and Thaddeus conjectured that the $E$-polynomial of moduli space $mathal{M}_{n,d}^w$ of parabolic Higgs bundles of rank $n$, degree $d$ and generic weight $w$ is independent of both the degree and the generic weight.