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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20231129T150000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-69
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:JIAHUI HUANG\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF W
 ATERLOO\n\n\"EQUIVARIANT INVARIANTS FOR QUOT SCHEMES\"\n\nDeformation inva
 riants on Quot schemes such as Donaldson-Thomas\ninvariants are useful too
 ls for studying the cohomology of moduli\nspaces. Equivariant versions of 
 such invariants are obtained by\nintegrating characteristic class of tauto
 logical bundles\, over Quot\nschemes of quotients of a rank $N$ bundle on 
 $\\mathbb{C}^n$ for\n$n=2\,3\,4$. The $n=4$ case has been the subject of r
 ecent activity in\nrelation to string theory and the DT/PT conjecture for 
 Calabi-Yau\n4-folds. This talk will demonstrate how integrations on Quot s
 chemes\nare performed via equivariant localization and their connections t
 o\nthe usual invariants for compact manifolds.\n\nMC 5417
DTSTAMP:20260505T200550Z
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