BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Variations of K-moduli for del Pezzo surfaces - Jesus Martinez Gar
 cia (University of Essex)
DTSTART:20240513T130000Z
DTEND:20240513T140000Z
UID:TALK214333@talks.cam.ac.uk
DESCRIPTION:Ascher\, DeVleming and Liu constructed a theory of variations 
 of K-moduli of log Fano pairs\, in which the coefficients of the divisors 
 are allowed to change\, introducing birational transformations on the K-mo
 duli. The most natural example is K-moduli of smoothable log del Pezzo pai
 rs formed by a del Pezzo surface and an anti-canonical divisor\, a natural
  generalisation of the first description of K-moduli for del Pezzo surface
 s given by Odaka-Spotti-Sun. Our case also implies analytic questions prev
 iously considered by Szekelyhidi on the existence of Kahler-Einstein metri
 cs with conical singularities along a divisor on del Pezzo surfaces. For d
 egrees 2\, 3 and 4 we establish an isomorphism between the K-moduli spaces
  and variation of Geometric Invariant Theory compactifications. For degree
 s 2-9\, we describe the wall-chamber structure of the K-moduli of these pr
 oblems\, including all K-polystable replacements. This is joint work with 
 Theodoros Papazachariou and Junyan Zhao.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR