Title: On the non-triviality of arithmetic invariants modulo p I
Speaker: Dr. Ashay Burungale (UCLA)
Time: 2015-8-3, 15:00-17:00
Place: 610
Abstract: In these talks, we discuss non-triviality of certain arithmetic invariants modulo p. This includes the case of Katz p-adic L-function, its variants, p-adic Abel-Jacobi image and p-adic height of generalised Heegner cycles in Iwasawa theoretic families. In particular, we discuss a new proof and refinement of Mazur's conjecture on the non-triviality of Heegner points. The strategy is inspired by Hida's pioneering work in the case of Katz p-adic L-function relying on Chai's theory of Hecke stable subvarieties of a mod p Shimura variety.
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