**
Emily Windes, The University of Rochester**

**Title:** Special Lagrangians from the perspective of Morse
theory

**Abstract:** In this talk, we consider a Lagrange multipliers
problem where the constraint is a section of a bundle E -> M. We
relate the Morse homology of a function restricted to the zero set of
the section to the Morse homology of the associated Lagrange function
on the total space E^{*}. Then we discuss a similar,
infinite-dimensional Lagrange multipliers problem appearing in
Donaldson and Segal's paper "Gauge Theory in Higher Dimensions
II". The long term goal is to apply Floer theory to a functional whose
critical points are a generalization of three-dimensional, special
Lagrangian submanifolds.