BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:An overview of arithmetic statistics [MPIM]
DTSTART:20251118T090000Z
DTEND:20251118T100000Z
DTSTAMP:20260416T073200Z
UID:indico-event-907@math-events.uni-bonn.de
DESCRIPTION:Speakers: Peter Koymans (Utrecht University)\n\nExtra talk\nIn
  this talk\, I will give a broad overview of recent developments in arithm
 etic statistics\, highlighting several directions from my own research. A 
 central theme is understanding how fundamental arithmetic invariants\, suc
 h as ranks of elliptic curves\, class numbers\, and the solubility of Diop
 hantine equations\, vary across families. I will discuss (1) the construct
 ion of abelian varieties of prescribed rank and its connection to Hilbert
 ’s tenth problem\, (2) the solubility of the negative Pell equation x^2 
 - dy^2 = -1\, (3) the distribution of ranks of elliptic curves\, including
  the problem of determining the proportion of integers representable as su
 ms of two rational cubes\, and (4) statistical properties of class numbers
 .\n\nhttps://math-events.uni-bonn.de/event/907/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/907/
END:VEVENT
END:VCALENDAR