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SUMMARY:Brody curves and mean dimension - Masaki Tsukamoto (Kyoto)
DTSTART:20130320T160000Z
DTEND:20130320T170000Z
UID:TALK42554@talks.cam.ac.uk
CONTACT:Yonatan Gutman
DESCRIPTION:Brody curve is a 1-Lipschitz holomorphic map from the complex 
 plane to the complex projective space. The space of Brody curves is infini
 te dimensional and admits a natural group action. So it becomes an infinit
 e dimensional dynamical system. I will study this system from the view poi
 nt of Gromov's mean dimension theory. Our main result is the formula of th
 e mean dimension of the system of Brody curves in the Riemann sphere.\nOur
  idea can be also applied to Anti-Self-Dual Yang--Mills equation. If I hav
 e an enough time\, I will also discuss it.\nThis talk is based on the join
 t works with Shinichiroh Matsuo.
LOCATION:MR11\, CMS
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