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SUMMARY:Compactness questions for triholomorphic maps - Costante Bellettin
 i (DPMMS)
DTSTART:20151012T140000Z
DTEND:20151012T150000Z
UID:TALK61472@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:A triholomorphic map u between hyperKahler manifolds solves\nt
 he "quaternion del-bar" equation du = I du i + J du j + K du k. Such a\nma
 p turns out\, under suitable assumptions\, to be stationary harmonic. We\n
 focus on compactness issues regarding the quantization of the Dirichlet\ne
 nergy and the structure of the blow-up set. We can relax the\nassumptions 
 on the manifolds\, in particular we can take the domain to be\nmerely "alm
 ost hyper-Hermitian": this more general setting leads to  the\nweaker noti
 on of"almost-stationarity"\, without however affecting  our\ncompactness\n
 results and it leads e.g. to gauge-theoretic applications. This is a\njoin
 t\nwork with G. Tian (Princeton).
LOCATION:CMS\, MR13
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