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UID:20250717T080723EDT-7469mVkgvV@132.216.98.100
DTSTAMP:20250717T120723Z
DESCRIPTION:Title: Convex bodies in algebraic geometry and symplectic geome
 try\n\nAbstract:\n\nWe start by discussing some basic facts about asymptot
 ic behavior of semigroups of lattice points (which is combinatorial in nat
 ure). We will see how this allows one to assign convex bodies to projectiv
 e algebraic varieties encoding important 'intersection theoretic' data. Ap
 plying inequalities from convex geometry to these bodies (e.g. Brunn-Minko
 wski) one immediately obtains Hodge inequalities from algebraic geometry. 
 This is in the heart of theory of Newton-Okounkov bodies. It generalizes t
 he extremely fruitful correspondence between toric varieties and convex po
 lytopes\, to arbitrary varieties. We then discuss connection with symplect
 ic (and Kahler) geometry and in particular regarding these bodies as image
 s of moment maps for Hamiltonian torus actions. For 'spherical varieties' 
 (or 'multiplicity-free spaces') these constructions become very concrete a
 nd they bring together algebraic geometry\, symplectic geometry and repres
 entation theory. For the most part the talk is accessible to anybody with 
 just a basic knowledge of algebra and geometry\n
DTSTART:20180125T210000Z
DTEND:20180125T220000Z
LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Kiumars Kaveh\, University of Pittsburgh 
URL:/mathstat/channels/event/kiumars-kaveh-university-
 pittsburgh-284048
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