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SUMMARY:Leonid Monin (MPI MiS)
DTSTART:20221103T151500Z
DTEND:20221103T170000Z
DTSTAMP:20260422T065715Z
UID:CJCS/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/92/">K-
 Theory and polytopes</a>\nby Leonid Monin (MPI MiS) as part of Copenhagen-
 Jerusalem Combinatorics Seminar\n\n\nAbstract\nOne can associate a commuta
 tive\, graded algebra which satisfies Poincare duality to a homogeneous po
 lynomial $f$ on a vector space $V$. One particularly interesting example o
 f this construction is when $f$ is the volume polynomial on a suitable spa
 ce of (virtual) polytopes. In this case the algebra $A_f$ recovers cohomol
 ogy rings of toric or flag varieties.\n\nIn my talk I will explain these r
 esults and present their recent generalizations. In particular\, I will ex
 plain how to associate an algebra with Gorenstein duality to any function 
 $g$ on a lattice $L.$ In the case when $g$ is the Ehrhart function on a la
 ttice of integer (virtual) polytopes\, this construction recovers K-theory
  of toric and full flag varieties.\n
LOCATION:https://researchseminars.org/talk/CJCS/92/
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