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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:K-moduli of a family of conic bundle threefolds - 
 Kristin DeVleming (University of Massachusetts)
DTSTART;TZID=Europe/London:20240517T101500
DTEND;TZID=Europe/London:20240517T111500
UID:TALK214417AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/214417
DESCRIPTION:Recently\, there has been significant progress in 
 understanding the K-moduli spaces of Fano varietie
 s and log Fano pairs (X\,cD). When D is a rational
  multiple of the anticanonical divisor of X\, the 
 K-moduli spaces of log Fano pairs (X\,cD) admit a 
 wall crossing framework as c varies and there is a
  finite collection of rational values of c where t
 he K-moduli spaces change. With Lena Ji\, Patrick 
 Kennedy-Hunt\, and Ming Hao Quek\, we explore the 
 K-moduli spaces in an example where D is not propo
 rtional to the anticanonical divisor. We study the
  K-moduli space of pairs (P1xP2\, cD) where D is a
  (2\,2) divisor and prove that there is exactly on
 e irrational value of c where the moduli spaces ch
 ange. We further relate these moduli spaces to sev
 eral related spaces: the GIT of (2\,2) divisors in
  P1xP2\, K-moduli of the&nbsp\;conic&nbsp\;bundle&
 nbsp\;threefold that is the double cover of P1xP2 
 branched over D\, and various moduli spaces of qua
 rtic plane curves arising as the discriminant of t
 hese&nbsp\;conic&nbsp\;bundles.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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