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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Counting points on a given degree via the height zeta function
DTSTART:20190528T141500
DTEND:20190528T151500
DTSTAMP:20260511T050427Z
UID:82967c13886d2ee1950d728163f5f8d015b6edd0f8f88d7f334998ff
CATEGORIES:Conferences - Seminars
DESCRIPTION:Kevin Destagnol (IST Austria)\nLet $X=\\mbox{Sym}^d \\mathbf{P
 }^n:=\\mathbf{P}^n \\times \\cdots \\times \\mathbf{P}^n/\\mathfrak{S}_d$ 
 where the symmetric $d$-group acts by permuting the $d$ copies of $\\mathb
 f{P}^n$. Manin's conjecture gives a precise prediction for the number of r
 ational points on $X$ of bounded height in terms of geometric invariants o
 f $X$ and the study of Manin's conjecture for $X$ can be derived from the 
 geometry of numbers in the cases $n>d$ and for $n=d=2$. In this talk\, I w
 ill explain how one can use the fact that $\\mathbf{P}^n$ is an equivarian
 t compactification of an algebraic group to study the rational points of b
 ounded height on $X$ in new cases that are not covered by the geometry of 
 numbers techniques. This might in particular shed light on recent counter-
 examples to the original version of Manin's conjecture and on its latest r
 efinements.
LOCATION:PH H3 33 https://plan.epfl.ch/?room==PH%20H3%2033
STATUS:CONFIRMED
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