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SUMMARY:Charlie Cifarelli (Stony Brook University)
DTSTART:20260320T150000Z
DTEND:20260320T161500Z
DTSTAMP:20260423T005720Z
UID:CIRGET/162
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/162/"
 >K-polystability of asymptotically conical Kähler-Ricci shrinkers</a>\nby
  Charlie Cifarelli (Stony Brook University) as part of CRM - Séminaire du
  CIRGET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract
 \nShrinking gradient Kähler-Ricci solitons (Kähler-Ricci shrinkers) are 
 fundamental objects in the study of the Kähler-Ricci flow\, characterizin
 g much of the behavior of finite-time singularities. Recently\, Sun--Zhang
  have developed an algebraic theory for Kähler-Ricci shrinkers\, which in
  particular implies that such spaces are naturally quasiprojective varieti
 es. Moreover\, they propose a YTD correspondence between the existence of 
 such a metric and an algebro-geometric notion of K-stability\, analogous t
 o and in fact extending the well-known situations for Fano manifolds and K
 ähler cones. In this talk\, I will discuss the proof of one direction of
  the correspondence\, namely that the existence of a Kähler-Ricci shrinke
 r metric implies K-polystability\, in the case that the Ricci curvature de
 cays at infinity. This is joint work with Carlos Esparza.\n
LOCATION:https://researchseminars.org/talk/CIRGET/162/
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