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SUMMARY:A Habiro formalism for CM points [MPIM]
DTSTART:20260413T143000Z
DTEND:20260413T160000Z
DTSTAMP:20260417T171900Z
UID:indico-event-1214@math-events.uni-bonn.de
DESCRIPTION:Speakers: Pengcheng Zhang (MPIM)\n\nPLeaSANT\n\n \nIn this ta
 lk\, we will present a Habiro-ring-like object encoding the information of
  CM points and singular moduli\, which may contribute to a Habiro formalis
 m for CM points.\n \nWe will start with the original Habiro ring defined 
 by Habiro\, explain how to view elements in the Habiro ring as power serie
 s expansions at roots of unity as well as functions on roots of unity\, an
 d sketch Habiro's proof of the injectivity of these associations via congr
 uences of cyclotomic polynomials.\n \nWe will then recall the theory of s
 ingular moduli and Hilbert class polynomials\, draw the comparison to root
 s of unity and cyclotomic polynomials\, and build a Habiro-ring-like objec
 t via the comparison. We will also discuss our expectations on the 'correc
 t' Habiro formalism for CM points.\n \nThis is ongoing work with Michael 
 Daas. \n\n\nhttps://math-events.uni-bonn.de/event/1214/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1214/
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