University of Toronto's Symplectic Geometry Seminar

Monday, 17 November 2008, 2:10pm
Bahen 6183


Kyoto University

Geometry of the space of Brody curves and Gromov's mean dimension


A brody curve is a kind of holomorphic map from the complex plane to the projective space. Since the complex plane is not compact, the space of Brody curves becomes an infinite dimensional space. I will talk about the geometry of this infinite dimensional space. In particular, I will show an estimate on its "mean dimension". Mean dimension is a notion defined by Gromov. Intuitively, it is a "dimension of an infinite dimensional space".