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DTSTART;TZID=America/Toronto:20260223T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-colloquium-64
SUMMARY:Pure Math Colloquium
CLASS:PUBLIC
DESCRIPTION:TOMMASO PACINI\, UNIVERSITY OF TORINO\n\n_Kahler techniques bey
 ond Kahler geometry: the case of pluripotential\ntheory_\n\nClassical plur
 ipotential theory was introduced into complex analysis\nin the 1940's\, as
  an analogue of the theory of convex functions. In\nthe early 2000's\, Har
 vey and Lawson showed that both pluripotential\ntheory and many of its ana
 lytic applications make sense in a much\nbroader setting. \n\nStarting wit
 h the work of Calabi in the 1950's\, however\, it has become\nclear that p
 luripotential theory is central also to Kahler geometry.\nIn particular\, 
 it is closely related to the cohomology of Kahler\nmanifolds via Hodge the
 ory and the ddbar lemma\, and it provides one of\nthe main ingredients in 
 proving the existence of canonical metrics.\n\nWork in progress\, joint wi
 th A. Raffero\, shows how parts of this\n\"second life\" of pluripotential
  theory extend to other geometries\,\nhinting towards new research directi
 ons in the field of calibrated\ngeometry and manifolds with special holono
 my.\n\nThe goal of this talk will be to present a non-technical overview o
 f\nsome of these topics\, aimed at non-specialists.\n\nMC 5501
DTSTAMP:20260414T131511Z
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