University of Toronto's Symplectic Geometry Seminar
November 13, 2006, 3:10pm
SS 2128
Brett Parker
MIT
Exploded Torus Fibrations
Abstract:
Invariants defined by holomorphic curves are a powerfull tool in symplectic topology.
One technique is to consider a degenerating family of complex structures and recover
these invariants from limiting information. The category of exploded torus fibrations
is an extention of the smooth category in which some of these degenerations are well
behaved. I will describe the relationship of this with symplectic field theory and
tropical geometry