Andrea Tirelli
(Imperial College London)
Abstract
In this talk I will present some recent work on the algebraic symplectic geometry of the singular moduli spaces of Higgs bundles of degree and rank on a compact Riemann surface of genus . In particular, I will show how to to prove that such moduli spaces are symplectic singularities, in the sense of Beauville, and admit a projective symplectic resolution if and only if or . These results are an application of a recent paper by Bellamy and Schedler [BS16] via the so-called Isosingularity Theorem.
