Mon, September 19, 2022
4:00 pm - 5:00 pm
Zoom
Title: Explicit period formulas for totally real p-adic L-functions, à la Cassou-Noguès
Speaker: Luochen Zhao (Johns Hopkins)
Abstract: The p-adic Hecke L-functions over totally real fields are known to exist by works of Deligne-Ribet, Cassou-Noguès and Barsky in the late 70s, albeit the whole picture of which is still clouded to this day. In this talk I will report my recent work on the explict determination of the incarnate p-adic measures that generalizes the p-adic Bernoulli distributions, and its applications in the Gross-Stark conjecture and totally real Iwasawa invariants.
URL associated with Seminar: https://research.math.osu.edu/numbertheory/
Zoom: email patrikis.1 for Zoom link