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SUMMARY:Fabian Haiden (Mathematical Institute\, University of Oxford)
DTSTART:20210625T160000Z
DTEND:20210625T170000Z
DTSTAMP:20260423T021436Z
UID:TQFT/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/38/">Ca
 tegorical Kähler Geometry</a>\nby Fabian Haiden (Mathematical Institute\,
  University of Oxford) as part of Topological Quantum Field Theory Club (I
 ST\, Lisbon)\n\n\nAbstract\nThis is a report on joint work in progress wit
 h L. Katzarkov\, M. Kontsevich\, and P. Pandit. The Homological Mirror Sym
 metry conjecture is stated as an equivalence of triangulated categories\, 
 one coming from algebraic geometry and the other from symplectic topology.
  An enhancement of the conjecture also identifies stability conditions (in
  the sense of Bridgeland) on these categories. We adopt the point of view 
 that triangulated (DG/A-infinity) categories are non-commutative spaces of
  an algebraic nature. A stability condition can then be thought of as the 
 analog of a Kähler class or polarization. Many\, often still conjectural\
 , constructions of stability conditions hint at a richer structure which w
 e think of as analogous to a Kähler metric. For instance\, a type of Dona
 ldson and Uhlenbeck-Yau theorem is expected to hold. I will discuss these 
 examples and common features among them\, leading to a tentative definitio
 n.\n
LOCATION:https://researchseminars.org/talk/TQFT/38/
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