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SUMMARY:Simon Jubert (UQAM & Université de Toulouse)
DTSTART:20230512T150000Z
DTEND:20230512T161500Z
DTSTAMP:20260423T005702Z
UID:CIRGET/98
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/98/">
 A Yau-Tian-Donaldson correspondence on a class of toric fibrations</a>\nby
  Simon Jubert (UQAM & Université de Toulouse) as part of CRM - Séminaire
  du CIRGET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstr
 act\nThe Yau--Tian--Donaldson conjecture predicts that the existence of an
 \nextremal metric (in the sense of Calabi) in a given Kähler class of\nK
 ähler manifold is equivalent to a certain algebro-geometric notion of\nst
 ability of this class. In this talk\, we will discuss a resolution of\nthi
 s conjecture for a certain type of toric fibrations\, called\nsemisimple p
 rincipal toric fibrations. One of the main assets of these\nfibrations is 
 that they come equipped with a connection which allows\ndefining\, from an
 y Kähler metrics on the toric fiber X\, a Kähler\nmetric on the total sp
 ace Y. After an introduction to the Calabi\nProblem for general compact K
 ähler manifolds\, we will focus on the\nweighted toric setting. Then\, I 
 will explain how to translate the\nCalabi problem on Y\, to a weighted csc
 K problem on the corresponding\ntoric fiber X  (arxiv paper: arXiv:2108.12
 297).\n
LOCATION:https://researchseminars.org/talk/CIRGET/98/
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