Honda-Tate theory for Shimura varieties

Honda-Tate theory for Shimura varieties

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Mark Kisin, Harvard University
Fine Hall 214

Honda-Tate theory says that every abelian variety mod p is isogenous to the reduction of a CM abelian variety.

We will discuss the analogous statement for isogeny classes on Shimura varieties, and explain what is conjectured and what is known.