## Geometry Seminar

**Date:** November 22, 2019

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 628

**Speaker:** Guillem Cazassus, Indiana University

**Title:** *Equivariant Lagrangian Floer homology and extended Field theory*

**Abstract:** Given a Hamiltonian G-manifold endowed with a pair of G-Lagrangians, we provide a construction for their equivariant Floer homology. Such groups have been defined previously by Hendricks, Lipshitz and Sarkar, and also by Daemi and Fukaya. A similar construction appeared independently in the work of Kim, Lau and Zheng. We will discuss an attempt to use such groups to construct topological Field theories: these should be seen as 3-morphism spaces in the Hamiltonian 3-category, which should serve as a target for a Field theory corresponding to Donaldson polynomials.