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SUMMARY:Akash Sengupta (Columbia University)
DTSTART:20200511T150000Z
DTEND:20200511T160000Z
DTSTAMP:20260404T170542Z
UID:CMI/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMI/3
 /">Geometric invariants and geometric consistency of Manin's conjecture.</
 a>\nby Akash Sengupta (Columbia University) as part of CMI seminar series\
 n\n\nAbstract\nLet X be a Fano variety with an associated height function 
 defined over a number field. Manin's conjecture predicts that\, after remo
 ving a thin set\, the growth of the number of rational points of bounded h
 eight on X is controlled by certain geometric invariants (e.g. the Fujita 
 invariant of X). I will talk about how to use birational geometric methods
  to study the behaviour of these invariants and propose a geometric descri
 ption of the thin set in Manin's conjecture. Part of this is joint work wi
 th Brian Lehmann and Sho Tanimoto.\n
LOCATION:https://stable.researchseminars.org/talk/CMI/3/
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