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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251024T153000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 157
LOCATION:MC - Mathematics & Computer Building 200 University Avenue West Wa
 terloo ON N2L 3G1 Canada
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:NATHANIEL SAGMAN\, UNIVERSITY OF TORONTO\n\n_Complex harmonic m
 aps and the Atiyah-Bott-Goldman symplectic form_\n\nThe field of higher Te
 ichmuller theory has developed alongside the\ntheories of Higgs bundles an
 d harmonic maps to symmetric spaces of\nnon-compact type. In this talk\, I
  aim to give an introduction to\nharmonic maps and Hitchin components for 
 SL(n\,R) (examples of\nso-called higher Teichmuller spaces)\, and to prese
 nt a new\ndevelopment: complex harmonic maps to holomorphic Riemannian sym
 metric\nspaces. Along with surveying the basic theory\, old and new\, I wi
 ll\nexplain how we used complex harmonic maps to prove that the\nAtiyah-Bo
 tt-Goldman symplectic form determines a pseudo-Kahler\nstructure on the Hi
 tchin component for SL(3\,R). This is joint work\nwith Christian El Emam.\
 n\nMC 5417
DTSTAMP:20260502T064225Z
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