Departmental Colloquium
Lazslo Lempert
Purdue
Analytic cohomology in infinite dimensional spaces
Abstract: One of the great realizations of twentieth century
mathematics was that there is a huge variety of problems
out there whose solvability can, and should, be
packaged in terms of cohomology groups. The talk
will be about cohomology groups that arise when
trying to solve certain fundamental analytical
problems of complex analysis and geometry.
After introducing the central notion of the
subject: holomorphic functions, I will pass to
the so called Cousin problem, and its significance.
I will summarize the works of H. Cartan, Oka, and
Serre on the solution of the Cousin problem in
finite dimensional spaces. The solution is expressed
in terms of cohomology groups. Finally, I will
discuss recent developments in infinite dimensions.
Friday November 13, 2009 at 3:00 PM in SEO 636