Colloquium
3:00 p.m., Friday (November 4, 2005)
MATH ANNEX 1100
Michael Thaddeus
Columbia University
Holomorphic curves on infinitedimensional homogeneous spaces
One might expect the space of holomorphic curves on an infinitedimensional
complex manifold to be too huge to understand well. But in certain cases 
when the manifold is a quotient of an affine KacMoody group by a parabolic
subgroup  Atiyah observed that the based holomorphic curves are parametrized
by a finitedimensional space. We will explain how to compactify this space
and study its topology using a construction similar to the "stable maps" of
Kontsevich.
Refreshments will be served at 2:45 p.m. (MATX 1115, Math Faculty Lounge).
