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PRODID:-//Memento EPFL//
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SUMMARY:Singularities on K-moduli spaces of Fano varieties
DTSTART:20211021T141500
DTEND:20211021T160000
DTSTAMP:20260427T202704Z
UID:c77404bddbdbd15895f1412b16d09b5606bd6268412dc2d7a9f0a086
CATEGORIES:Conferences - Seminars
DESCRIPTION:Andrea Petracci (Freie U Berlin)\nRecently there has been spec
 tacular progress\, due to many scholars\, on the construction of moduli st
 acks/spaces of K-(semi/poly)stable Fano varieties. It is a natural questio
 n to understand the geometry of these spaces.\nAlthough smooth Fano variet
 ies have unobstructed deformations\, in joint work with Kaloghiros we cons
 tructed the first examples of obstructed K-polystable Fano varieties by us
 ing toric geometry. These give singular points on K-moduli of Fanos. In th
 is talk I will try to explain these constructions\; as a corollary I will 
 show that K-moduli of Fano of dimension at least 3 can have arbitrarily ma
 ny local branches.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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