Higher Coherent Cohomology in Weight One

Watch a mathematics lecture from the Joint IAS/PU Arithmetic Geometry series exploring local-global compatibility at p for higher coherent cohomology mod p in weight one for Hilbert modular varieties at unramified primes, excluding middle degree cases. Learn about the geometric Jacquet-Langlands transfer map to quaternionic Shimura varieties and examine the doubling map in this context. Delivered by Stanford University's Si-Ying Lee at the Institute for Advanced Study, the presentation delves into advanced concepts in arithmetic geometry and provides a detailed proof of these mathematical relationships.