3:00 p.m., Monday (December 6, 2004)
Math Annex 1100
New York University
Quantitative Symplectic Geometry
This will be a very elementary talk about a very non-elementary subject.
The beautiful fact is that problems and results are easy to understand,
while the proofs usually have to rely on heavy duty machinery like
symplectic field theory. Quantitative symplectic geometry is concerned
with the ``size" of a symplectic space. A good starting point is already
the consideration of open sets in a linear symplectic space. Since about
20 years, we know that there is a fascinating world of invariants going
beyond volume measurements. The resulting theory is the theory of
symplectic capacities. It is the main goal of these lectures to show that
this theory is rather at its beginnings and far from being mature. In fact
most of the key questions seem to be open.
Refreshments will be served at 2:45 p.m. in the Faculty Lounge,
Math Annex (Room 1115).