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SUMMARY:A p-adic analogue of a formula by Gross and Zagier [MPIM]
DTSTART:20241211T133000Z
DTEND:20241211T143000Z
DTSTAMP:20260420T164000Z
UID:indico-event-126@math-events.uni-bonn.de
DESCRIPTION:Speakers: Michael Alexander Daas (MPIM)\n\nhttps://www.mpim-bo
 nn.mpg.de/node/13778\nIn their 1984 paper “On singular moduli”\, Gross
  and Zagier proved an explicit factorisation formula for the norm of the d
 ifference 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-a
 dic theta-functions on Shimura curves should obey similar factorisation pa
 tterns. In this talk\, we explore the classical result about the j-functio
 n\, discuss its proofs and outline how the study of infinitesimal deformat
 ions of p-adic Hilbert Eisenstein series was used to settle the conjecture
 s about the theta-function. This p-adic analytic approach bears resemblanc
 e to some of the newly developed methods in modern RM-theory.\n\nhttps://m
 ath-events.uni-bonn.de/event/126/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/126/
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