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SUMMARY:Leonid Monin (Universität Leipzig)
DTSTART:20230203T143000Z
DTEND:20230203T153000Z
DTSTAMP:20260422T172351Z
UID:TGiZ/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/48/">Po
 lyhedral models for K-theory</a>\nby Leonid Monin (Universität Leipzig) a
 s part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbstract\nOne ca
 n associate a commutative\, graded algebra which satisfies \nPoincare dual
 ity to a homogeneous polynomial f on a vector space V. One \nparticularly 
 interesting example of this construction is when f is the volume \npolynom
 ial on a suitable space of (virtual) polytopes. In this case the algebra \
 nA_f recovers cohomology rings of toric or flag varieties. \n\nIn my talk 
 I will explain these results and present their recent generalizations. \nI
 n particular\, I will explain how to associate an algebra with Gorenstein 
 duality \nto any function g on a lattice L. In the case when g is the Ehrh
 art function on \na lattice of integer (virtual) polytopes\, this construc
 tion recovers K-theory of \ntoric and full flag varieties.\n
LOCATION:https://researchseminars.org/talk/TGiZ/48/
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