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SUMMARY:Akash Sengupta (Columbia University)
DTSTART:20200511T150000Z
DTEND:20200511T160000Z
DTSTAMP:20260513T195800Z
UID:CMI/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CMI/3/">Geom
 etric invariants and geometric consistency of Manin's conjecture.</a>\nby 
 Akash Sengupta (Columbia University) as part of CMI seminar series\n\n\nAb
 stract\nLet X be a Fano variety with an associated height function defined
  over a number field. Manin's conjecture predicts that\, after removing a 
 thin set\, the growth of the number of rational points of bounded height o
 n X is controlled by certain geometric invariants (e.g. the Fujita invaria
 nt of X). I will talk about how to use birational geometric methods to stu
 dy the behaviour of these invariants and propose a geometric description o
 f the thin set in Manin's conjecture. Part of this is joint work with Bria
 n Lehmann and Sho Tanimoto.\n
LOCATION:https://researchseminars.org/talk/CMI/3/
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