Lecture----数学院晨兴数学中心

Title:	A Serre weight conjecture for mod p Hilbert modular forms
Speaker:	Prof. Shu Sasaki (Queen Mary University of London)
Time:	2020-12-17, 16:00-17:00
Place:	Zoom;ID:466;356;2952;Password:;mcm1234
Abstract:	In 1987, J.P. Serre formulated a set of conjectures about weights and levels of odd two-dimensional modular mod p representations of the absolute Galois group of Q. Serre's conjecture itself was proved by Khare and Wintenberger in 2009, but it has also inspired a good deal of new mathematics. One strand of research spurred on by this development is a generalisation of Serre's conjecture over to totally real number fields; and it was in the work of Buzzard, Diamond and Jarvis in 2010 that the very first attempt was made (while focusing exclusively on regular weights). In my joint work with Diamond, we improve on the BDJ conjectures and formulate new conjectures about general weights of (geometric) mod p Hilbert modular forms. I will explain what our conjectures say and demonstrate some evidence that we are on the right track.
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