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SUMMARY:p-adic equidistribution of CM points
DTSTART:20200226T151500
DTEND:20200226T163000
DTSTAMP:20260511T150816Z
UID:f2be3c940fd085b5230e2449ab1481ecfcc56b3d8f6cd7b551648b97
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ricardo Menares (Pontificia Universidad Católica de Chile\, S
 antiago)\nOn the moduli space of complex elliptic curves (the modular curv
 e)\, CM points are those representing elliptic curves with complex multipl
 ication. By work of Duke and of Clozel and Ullmo\, it is known that CM po
 ints are equidistributed on the modular curve according to the hyperboli
 c measure. Duke's fundamental work hinges on his solution of a particular 
 problem of Linnik's type.   \nIn this talk we will explain\, for a fixed
  prime p\, the distribution of CM points on the p-adic modular curve. We w
 ill focus on the subset of CM points lying inside the supersingular locus.
  In this case\, we solve a p-adic equidistribution problem of Linnik's typ
 e. This is joint work with Sebastián Herrero and Juan Rivera-Letelier. 
   \n(30 minute general talk followed by expert talk)
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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