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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250711T153000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20250711T163000
URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-34
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:JIAHAO HU\, YAU MATHEMATICAL SCIENCES CENTER\, TSINGHUA UNIVERS
 ITY\n\n_Homotopy theoretical holomorphic invariants of complex manifolds_\
 n\nIn this talk\, I will begin by presenting a method for extracting new\n
 holomorphic invariants of a complex manifold from its de Rham\nalgebra o
 f complex-valued differential forms. These invariants can be\nseen as refi
 ned versions of the complexified homotopy groups. I will\nthen explore the
 ir potential connections with Hermitian geometry.\nSpecifically: (1) the n
 on-abelian part (refined fundamental group)\nshould be related to a genera
 lization of Higgs bundle\; (2) the abelian\npart (refined higher homotopy)
  may provide new tools for studying the\ngeometry of holomorphic mappings.
 \n\nMC 5417
DTSTAMP:20260430T234524Z
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