Higher Singularities in Positive Characteristic

Explore a lecture on "Higher singularities in positive characteristic" presented by Jakub Witaszek from the Institute for Advanced Study as part of the Joint IAS/PU Arithmetic Geometry series. The talk begins with a review of various Hodge-theoretic invariants of complex singularities before delving into methods of studying such singularities using positive characteristic approaches, particularly Cartier operators. The presentation is based on joint research with Tatsuro Kawakami. This 65-minute lecture will take place on May 12, 2025, at 3:35pm in Simonyi 101, with remote access options available.