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CATEGORIES:Discrete Analysis Seminar
SUMMARY:Brody curves and mean dimension - Masaki Tsukamoto
(Kyoto)
DTSTART;TZID=Europe/London:20130320T160000
DTEND;TZID=Europe/London:20130320T170000
UID:TALK42554AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/42554
DESCRIPTION:Brody curve is a 1-Lipschitz holomorphic map from
the complex plane to the complex projective space.
The space of Brody curves is infinite dimensional
and admits a natural group action. So it becomes
an infinite dimensional dynamical system. I will s
tudy this system from the view point of Gromov's m
ean dimension theory. Our main result is the formu
la of the mean dimension of the system of Brody cu
rves in the Riemann sphere.\nOur idea can be also
applied to Anti-Self-Dual Yang--Mills equation. If
I have an enough time\, I will also discuss it.\n
This talk is based on the joint works with Shinich
iroh Matsuo.
LOCATION:MR11\, CMS
CONTACT:Yonatan Gutman
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