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SUMMARY:Qi Yao (Stony Brook)
DTSTART:20260508T150000Z
DTEND:20260508T161500Z
DTSTAMP:20260513T184833Z
UID:CIRGET/165
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/165/"
 >Holomorphic Disc Foliations and the local Regularity of the HCMA Equation
 </a>\nby Qi Yao (Stony Brook) as part of CRM - Séminaire du CIRGET / Géo
 métrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nThe HCMA equ
 ation plays a central role in Kähler geometry\, where it describes geodes
 ics in the space of Kähler metrics. A major open problem concerns the reg
 ularity of weak solutions to this equation. This problem is closely connec
 ted to questions of existence and uniqueness of constant scalar curvature 
 Kähler metrics.\n\nIn this talk\, I will present a new local higher regul
 arity result for the HCMA equation on Kähler manifolds. The approach is b
 ased on holomorphic disc foliations and pluripotential theory\, together w
 ith a Nash–Moser argument to handle a subtle loss of regularity in the c
 onstruction. As an application\, I will discuss the consequences of this r
 egularity on the ALE end.\n
LOCATION:https://researchseminars.org/talk/CIRGET/165/
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