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SUMMARY:Xuemiao Chen (Western Univ. Canada)
DTSTART:20240412T150000Z
DTEND:20240412T161500Z
DTSTAMP:20260423T005842Z
UID:CIRGET/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/119/"
 >On Vafa-Witten equations over Kaehler manifolds</a>\nby Xuemiao Chen (Wes
 tern Univ. Canada) as part of CRM - Séminaire du CIRGET / Géométrie et 
 Topologie\n\nLecture held in PK-5115.\n\nAbstract\nI will talk about some 
 analytic properties of solutions to the Vafa-Witten equations over compact
  Kaehler manifolds. Simple obstructions to the existence of nontrivial sol
 utions are identified. The gauge theoretical compactness for the C^* invar
 iant locus of the moduli space behaves similarly as the Hermitian-Yang-Mil
 ls connections. More generally\, this holds for solutions with uniformly b
 ounded spectral covers such as nilpotent solutions. When spectral covers a
 re unbounded\, we manage to take limits of the renormalized Higgs fields w
 hich are intrinsically characterized by the convergence of the associated 
 spectral covers. This gives a simpler proof for Taubes’ results on rank 
 two solutions over Kaehler surfaces together with a new complex geometric 
 interpretation.\n
LOCATION:https://researchseminars.org/talk/CIRGET/119/
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