Speaker: Dr. Ashay Burungale (University of Arizona)

Date and Place: Nov 23 (Monday), 4:00pm-5:30pm, mcm 610 

Title - An Iwasawa theoretic non-vanishing of p-adic heights on CM abelian varieties

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).