Monday, March 26, 2007
Urs Frauenfelder (Munich): Symmetry breaking for S1-invariant Morse functions
Abstract:
This is joint work with Kai Cieliebak. We pose the problem to define S1-equivariant Morse homology for non invariant metrics. The main
focus of the talk will be the motivation for this problem coming from a
different approach to the Arnold conjecture using a Lagrange multiplier
action functional. We then present a partial answer to this problem.
Wednesday, March 28, 2007
Urs Frauenfelder (Munich): Symmetries arising in the Arnold-Givental conjecture
Abstract:
The Arnold-Givental conjecture asks for a lower bound
in topological datas on the number of intersection points for two
transversally intersecting, Hamiltonian isotopic Lagrangians which are
fixed point sets of an antisymplectic involution. This conjecture
should follow from a very special symmetry on the space of paths from
one Lagrangian to the other. We explain this symmetry.
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