January 22, 2024
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2024-01-22 17:00:00
2024-01-22 18:00:00
A p-adic analogue of a formula by Gross and Zagier
Title: A p-adic analogue of a formula by Gross and ZagierSpeaker: Mike Daas (Leiden University) Abstract: In their 1984 paper “On singular moduli”, Gross and Zagier proved an explicit factorisation formula for the norm of the difference between two CM-values of the classical j-function. In 2022, it was conjectured by Giampietro and Darmon that the CM-values of certain p-adic theta-functions on Shimura curves should obey similar factorisation patterns. In this talk, we explore the classical result about the j-function, discuss its proofs and outline how the study of infinitesimal deformations of p-adic Hilbert Eisenstein series was used to settle the conjectures about the theta-function. This p-adic analytic approach bears resemblance to some of the newly developed methods in modern RM-theory. Join Zoom Meetinghttps://osu.zoom.us/j/97445755675?pwd=cElEMldGMVBLZGVOUkZCckVHT3NCUT09 Meeting ID: 974 4575 5675Password: HAAR
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2024-01-22 16:00:00
2024-01-22 17:00:00
A p-adic analogue of a formula by Gross and Zagier
Title: A p-adic analogue of a formula by Gross and ZagierSpeaker: Mike Daas (Leiden University) Abstract: In their 1984 paper “On singular moduli”, Gross and Zagier proved an explicit factorisation formula for the norm of the difference between two CM-values of the classical j-function. In 2022, it was conjectured by Giampietro and Darmon that the CM-values of certain p-adic theta-functions on Shimura curves should obey similar factorisation patterns. In this talk, we explore the classical result about the j-function, discuss its proofs and outline how the study of infinitesimal deformations of p-adic Hilbert Eisenstein series was used to settle the conjectures about the theta-function. This p-adic analytic approach bears resemblance to some of the newly developed methods in modern RM-theory. Join Zoom Meetinghttps://osu.zoom.us/j/97445755675?pwd=cElEMldGMVBLZGVOUkZCckVHT3NCUT09 Meeting ID: 974 4575 5675Password: HAAR
Zoom
America/New_York
public
Title: A p-adic analogue of a formula by Gross and Zagier
Speaker: Mike Daas (Leiden University)
Abstract: In their 1984 paper “On singular moduli”, Gross and Zagier proved an explicit factorisation formula for the norm of the difference between two CM-values of the classical j-function. In 2022, it was conjectured by Giampietro and Darmon that the CM-values of certain p-adic theta-functions on Shimura curves should obey similar factorisation patterns. In this talk, we explore the classical result about the j-function, discuss its proofs and outline how the study of infinitesimal deformations of p-adic Hilbert Eisenstein series was used to settle the conjectures about the theta-function. This p-adic analytic approach bears resemblance to some of the newly developed methods in modern RM-theory.
Join Zoom Meeting
https://osu.zoom.us/j/97445755675?pwd=cElEMldGMVBLZGVOUkZCckVHT3NCUT09
Meeting ID: 974 4575 5675
Password: HAAR
