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# Special parahorics and exotic good reduction

## Automorphic forms, Shimura varieties, Galois representations and L-functions December 01, 2014 - December 05, 2014

December 02, 2014 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Wei Zhang (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

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Abstract

I will report on joint work with M. Rapoport and B. Smithling, on an "arithmetic transfer conjecture" (ATC). Similar to the arithmetic fundamental lemma conjecture (for unramified unitary groups over a p-adic field), the transfer conjecture connects the derivative of a relative orbital integral to an intersection number on a formal moduli space of $p$-divisible groups associated to a special parahoric of a ramified unitary group. Miraculously, this formal moduli space has good reduction.

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