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SUMMARY:GAAG seminar - K-moduli of quasimaps and quasi-projectivity of K-s
 table Calabi-Yau fibrations over curves.
DTSTART:20250520T141500
DTEND:20250520T160000
DTSTAMP:20260307T140218Z
UID:6fddd1910b6c551618294c552cf45eec638dcd5d6c6a3a1fc05b666c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Masafumi Hattori (Nottingham)\nK-stability is an important not
 ion in algebraic geometry\, which is introduced to detect the existence of
  constant scalar curvature Kahler metrics\, as the Yau-Tian-Donaldson conj
 ecture predicted. On the other hand\, this notion is also closely related 
 to GIT and moduli theory. Odaka predicted that we can construct a moduli s
 pace (K-moduli) by using K-stability and Xu et. al. constructed K-moduli t
 heory for log Fano pairs with an ample CM line bundle\, which is a line bu
 ndle canonically defined. However\, Odaka’s K-moduli conjecture is still
  open for general polarized varieties.\n\n \n\nIn this talk\, we introduc
 e uniform adiabatic K-stability for Calabi-Yau fibrations\, that is a unif
 orm notion of K-stability when the polarization is very close to the base 
 line bundle\, and we construct K-moduli theory of Calabi-Yau fibrations ov
 er curves. Moreover\, we will construct K-moduli theory for log Fano quasi
 maps and apply it to the quasi-projectivity for K-moduli of Calabi-Yau fib
 rations.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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