Speaker:Eric Katz (Ohio State University)Time:Friday, 10:00 - 11:30July 10, 2026Venue:B725, Shuangqing Complex Building AAbstract:In 2020, Papadakis and Petrotou gave a proof of the g-theorem, a characterization of the face numbers of simplicial spheres, using a surprising identity in characteristic 2. This identity implies a generic Hard Lefschetz theorem for face rings of simplicial sphere...
AbstractIn 1987, Hitchin constructed a complete hyperkähler metric on the moduli space of Higgs bundles, which can be generalized to accommodate singularities. In this talk, we consider Higgs bundles with irregular singularities over the Riemann sphere. We construct a generic ray in the moduli space and study the asymptotic behavior of the Hitchin metric along this ray. Using the techniques dev...