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PRODID:-//Memento EPFL//
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SUMMARY:Stability conditions for varieties
DTSTART:20220630T101500
DTEND:20220630T114500
DTSTAMP:20260407T034511Z
UID:66c74b4efccfca749a70ce7d7c3692211c32abb0f158d7c1bdef1269
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ruadhai Dervan (University of Cambridge)\nEnormous progress in
  algebraic geometry has been achieved through linking with differential ge
 ometry and geometric analysis. A modern example of this is the "Yau-Tian-D
 onaldson conjecture"\, which relates the algebro-geometric notion of K-st
 ability of a projective variety to the existence of solutions to a special
  PDE on the variety. In this setting\, the PDE is the "constant scalar cur
 vature equation"\, which can be thought of as giving the variety a canonic
 al choice of metric. I will describe a general framework associating geom
 etric PDEs on projective varieties to notions of algegbro-geometric stab
 ility\, and will sketch a proof showing that existence of solutions is equ
 ivalent to stability in a model case. The framework can be seen as a lo
 ose analogue in the setting of varieties of Bridgeland's stability condi
 tions.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==GC%20A1%20416
STATUS:CONFIRMED
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