Title: An Iwasawa theoretic non-vanishing of p-adic heights on CM abelian varieties
Speaker: Dr. Ashay Burungale (University of Arizona)
Time: 2015-11-23, 16:00-17:30
Place: 610
Abstract: Let A be a simple CM abelian variety over a CM field E. Let p be an odd prime and P a prime above p in the maximal totally real subfield. Suppose that A has potentially ordinary reduction above p and is self-dual with root number -1. Under mild hypotheses, we discuss the recent proof of generic non-vanishing of (cyclotomic) p-adic heights on A along the anticyclotomic \Z_{p}-extension of E unramified outside P. This provides an evidence for Schneider's conjecture on the non-vanishing of p-adic heights (joint work with Daniel Disegni).
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