Abstract:In this talk, I will discuss the motivic decomposition of a smooth hyperplane section in twisted Milnor Hypersurfaces. The key feature of our result is the appearance of a spectrum of a particular field in the decomposition. A critical ingredient is in the non-triviality of the (monodromy) Galois action on the equivariant Chow group. The steps of our proof can be likened to several th...
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...