Speaker: Dr. Francesc Castella (UCLA)
Time and Place: March 23 (Wed) 10:00-11:30am, MCM 610
Title: Lambda-adic Gross-Zagier formula for supersingular primes.
Abstract: In 2013, Kobayashi proved an analogue of Perrin-Riou's p-adic Gross-Zagier formula for supersingular primes. In this talk, we will explain an extension of Kobayashi's result to the Lambda-adic setting. The main formula is in terms of plus/minus Heegner points up the anticyclotomic tower, and its proof, rather than on calculations inspired by the original work of Gross-Zagier, is via Iwasawa theory, based on the connection between Heegner points, Beilinson-Flach elements, and different p-adic L-functions. (Joint work in progress with Xin Wan.)