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SUMMARY:Kristin DeVleming (UC San Diego)
DTSTART:20210415T185000Z
DTEND:20210415T195000Z
DTSTAMP:20260423T005850Z
UID:GPRTatNU/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/23/
 ">Wall crossing for K-moduli spaces</a>\nby Kristin DeVleming (UC San Dieg
 o) as part of Geometry\, Physics\, and Representation Theory Seminar\n\n\n
 Abstract\nThere are many different methods to compactly moduli spaces of v
 arieties with a rich source of examples from compactifying moduli spaces o
 f curves.  In this talk\, I will explain a relatively new compactification
  coming from K-stability and how it connects to serval other compactificat
 ions\, focusing on the case of plane curves of degree $d$. In particular\,
  we regard a plane curve as a log Fano pair $(\\mathbb{P}^2\, aC)$ and stu
 dy the K-moduli compactifications and establish a wall crossing framework 
 as a varies. We will describe all wall crossings for low degree plane curv
 es and discuss the picture for general $\\mathbb{Q}$-Gorenstein smoothable
  log Fano pairs. This is joint work with Kenneth Ascher and Yuchen Liu.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/23/
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