On Schiffman's conjecture for moduli spaces of parabolic Higgs bundles.
Speaker: Prof. Đỗ Việt Cường (VNU University of Science)
Time: 9:30 -- 11: 00, May 20, 2026
Venue: Room 612, A6, Institute of Mathematics-VAST
Abstract: In the paper “Indecomposable vector bundles and stable Higgs bundles over smooth, projective curves, Ann. of Math. (2) 183 (2016), no. 1, 297—362”, Schiffman conjectured that the number of points of the moduli space of parabolic Higgs bundles of rank r, degree d, and generic weight w┬‾ over a smooth projective curve C defined over a finite field is independent of both degree and generic weight. In this talk, we present a confirmation of this conjecture, along with an outline of the proof.
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