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SUMMARY:Matthew Satriano (University of Waterloo)
DTSTART:20200714T150000Z
DTEND:20200714T155000Z
DTSTAMP:20260423T023938Z
UID:AGCOnline/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGCOnline/4/
 ">New types of heights with connections to the Batyrev-Manin and Malle Con
 jectures</a>\nby Matthew Satriano (University of Waterloo) as part of Alge
 bra\, Geometry\, and Combinatorics\n\n\nAbstract\nThe Batyrev-Manin conjec
 ture gives a prediction for the asymptotic growth rate of rational points 
 on varieties over number fields when we order the points by height. The Ma
 lle conjecture predicts the asymptotic growth rate for number fields of de
 gree d when they are ordered by discriminant. The two conjectures have the
  same form and it is natural to ask if they are\, in fact\, one and the sa
 me. We develop a theory of point counts on stacks and give a conjecture fo
 r their growth rate which specializes to the two aforementioned conjecture
 s. This is joint work with Jordan Ellenberg and David Zureick-Brown. No pr
 ior knowledge of stacks will be assumed for this talk.\n
LOCATION:https://researchseminars.org/talk/AGCOnline/4/
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