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SUMMARY:Arithmetic intersections of Heegner divisors on the non-split Cart
 an modular curve [MPIM]
DTSTART:20261111T133000Z
DTEND:20261111T143000Z
DTSTAMP:20261110T161400Z
UID:indico-event-1773@math-events.uni-bonn.de
DESCRIPTION:Speakers: Elie Studnia (MPIM)\n\nNumber theory lunch seminar\n
 In 1985\, Gross and Zagier factor the norm of the algebraic integer j(s)-j
 (t)\, where s\,t generate the rings of integers of two imaginary quadratic
  fields with coprime discriminants. From a bird's eye view\, their proof a
 mounts to computing the arithmetic intersection of certain CM divisors on 
 the modular curve X(1). This joint work with Jan Vonk and Jonathan Love is
  one of many existing generalizations of Gross and Zagier's result. We det
 ermine the arithmetic intersection of analogous Heegner divisors on the mo
 dular curve Xns+(p)\, where p is prime. One of the new difficulties is tha
 t\, unlike in Gross—Zagier\, intersections may happen in the fibre at wh
 ich the curve has bad reduction. We solve this by finding a new modular in
 terpretation for this fibre.* Please note that there is a possibility that
  the talk can be recorded: This will be confirmed later by the speaker. \
 n\nhttps://math-events.uni-bonn.de/event/1773/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1773/
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