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SUMMARY:George Balla (MPI Leipzig)
DTSTART:20250207T133000Z
DTEND:20250207T143000Z
DTSTAMP:20260422T172556Z
UID:TGiZ/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/66/">Re
 gular subdivisions and bounds on initial ideals</a>\nby George Balla (MPI 
 Leipzig) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbstra
 ct\nWe extend two known constructions that relate regular subdivisions to 
 initial degenerations of projective toric varieties and Grassmannians. We 
 associate a point configuration A with any homogeneous ideal I. We obtain 
 upper and lower bounds on each initial ideal of I in terms of regular subd
 ivisions of A. We also investigate when these bounds are exact\, for examp
 le\, the lower bound is exact for every initial ideal of the Plücker idea
 l I(2\,n) with respect to points in the tropicalization. This talk is base
 d on joint work with Dan Corey\, Igor Makhlin\, and Victoria Schleis.\n
LOCATION:https://researchseminars.org/talk/TGiZ/66/
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