Dr Alexey Zaytsev (Sch. Math Sc., UCD)

will speak on

Reduction of abelian varieties with complex multiplication and its first truncated Barsotti-Tate group schemes

Time: 4:00PM
Date: Mon 4th April 2011
Location: Mathematical Sciences Seminar Room [map]

Abstract: Let A be an abelian variety over a number field L with complex multiplication by the full ring of integers O_K for some CM field K. We consider a good reduction at prime ideal S in L of the abelian variety A. After the reduction we get an abelian variety over a finite field of characteristic p. In this talk I explain a correspondence between the decomposition of the ideal pO_K into prime ideals and the
decomposition of the first truncated Barsotti-Tate group scheme (A mod S)[p].

(This talk is part of the Algebra and Number Theory series.)

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