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DTSTART:20220313T070000
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DTSTART;TZID=America/Toronto:20230216T143000
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URL:https://uwaterloo.ca/pure-mathematics-geometry-topology/events/equivari
 ant-enumerative-geometry
SUMMARY:Equivariant enumerative geometry
CLASS:PUBLIC
DESCRIPTION:THOMAS BRAZELTON\, UNIVERSITY OF PENNSYLVANIA\n\nClassical enum
 erative geometry asks geometric questions of the form\n\"how many?\" and e
 xpects an integral answer. For example\, how many\ncircles can we draw tan
 gent to a given three? How many lines lie on a\ncubic surface? The fact th
 at these answers are well-defined integers\,\nindependent upon the initial
  parameters of the problem\, is\nSchubert’s principle of conservation of
  number. In this talk we will\noutline a program of \"equivariant enumerat
 ive geometry\"\, which wields\nequivariant homotopy theory to explore enum
 erative questions in the\npresence of symmetry. Our main result is equivar
 iant conservation of\nnumber\, which states roughly that the sum of regula
 r representations\nof the orbits of solutions to an equivariant enumerativ
 e problem are\nconserved. We leverage this to compute the S4 orbits of the
  27 lines\non any symmetric cubic surface.\n\nMC 5417
DTSTAMP:20260312T094916Z
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