Speaker
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 $0$ and rank $n$ on a compact Riemann surface $X$ of genus $g$. 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 $g=1$ or $(g,n)=(2,2)$. These results are an application of a recent paper by Bellamy and Schedler [BS16] via the so-called Isosingularity Theorem.
