Title: Kudla-Rapoport conjecture at bad reduction primes Abstract: The Kudla-Rapoport conjecture is a local analogue of arithmetic Siegel-Weil formula which relates arithmetic intersections of special cycles with derivatives of local densities. The original conjecture is formulated when the underlying Rapoport-Zink space has good reduction and proved by Chao Li and Wei Zhang. However, it is […]
Title: Laumon sheaf and the mod p Langlands program for GL_2 of a finite degree extension of Qp Abstract: Let E be a finite degree extension of Qp. Given a mod p representation of the absolute Galois group of E we construct a sheaf on a punctured absolute Banach-Colmez space that should give the first […]