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SUMMARY:Special values of modular functions and S-units
DTSTART:20230531T141500
DTEND:20230531T160000
DTSTAMP:20261002T014609Z
UID:ed7d3256ca26be7fb541889076f53b9c6d0d5f64961f4916f0a2081d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sebastián Herrero (PUCV Chile & ETH Zürich)\nThe values of m
 odular functions at complex multiplication points are classically used to 
 construct explicit abelian extensions of quadratic imaginary fields. The f
 actorization of (the algebraic norm of) these numbers is also a problem th
 at has been extensively studied\, at least since the beginnings of the 190
 0s. More recently\, particular attention has been given to the question of
  when these values are algebraic units\, and more generally how often thes
 e special values are S-units when S is a fixed finite set of prime numbers
 . In this talk I will present a brief overview of known results and open r
 elated problems\, and I will explain joint work with Ricardo Menares (PUC 
 Chile) and Juan Rivera-Letelier (U. of Rochester) on the finiteness of spe
 cial values of modular functions that are S-units.\n 
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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