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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240320T133000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-73
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:JIAHUI HUANG\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF W
 ATERLOO\n\n\"ARC-FLOER CONJECTURE\"\n\nFor a hypersurface singularity\, th
 e arc-Floer conjecture states an\nisomorphism between the compactly suppor
 ted cohomology of $X_m$\, the\nm-th restricted contact locus (of algebraic
  nature)\, and the Floer\nhomology of $\\varphi^m$\, the m-th iterate of t
 he monodromy on the\nMilnor fiber (of topological nature). In particular\
 , this gives the\nFloer homology a mixed Hodge structure.\n\nIt was known 
 by a result of Denef and Loeser that the Euler\ncharacteristic of $X_m$ ag
 rees with the Lefschetz number of\n$\\varphi^m$\, which is given by the Eu
 ler characteristic of its Floer\nhomology. The conjecture predicts an equi
 valence at the level of\ncohomology. It has been proven for plane curves b
 y de la Bodega and de\nLorenzo Poza. We shall look at the case where the s
 ingularity is the\naffine cone of a smooth projective hypersurface.\n\nMC 
 5417
DTSTAMP:20260506T072133Z
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