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SUMMARY:Jesús Martinez Garcia (Essex)
DTSTART:20200521T123000Z
DTEND:20200521T133000Z
DTSTAMP:20260423T041352Z
UID:notts_ag/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/6/"
 >The moduli continuity method for log Fano pairs</a>\nby Jesús Martinez G
 arcia (Essex) as part of Online Nottingham algebraic geometry seminar\n\n\
 nAbstract\nThe moduli continuity method\, pioneered by Odaka\, Spotti and 
 Sun\, allows us to explicitly provide algebraic charts of the Gromov-Hausd
 orff compactification of (possibly singular) Kähler-Einstein metrics. Ass
 uming we can provide a homeomorphism to some 'known' algebraic compactific
 ation (customarily\, a GIT one) the method allows us to determine which Fa
 no varieties (or more generally log Fano pairs) are K-polystable in a give
 n deformation family. In this talk we provide the first examples of compac
 tification of the moduli of log Fano pairs for the simplest deformation fa
 mily: that of projective space and a hypersurface\, and mention related re
 sults for cubic surfaces. This is joint work with Patricio Gallardo and Cr
 istiano Spotti.\n
LOCATION:https://researchseminars.org/talk/notts_ag/6/
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