# Michael Albanese (University of Waterloo)

Date

Friday October 28, 20222:30 pm - 3:30 pm

Location

Jeffery Hall, Room 234## Math & Stats Department Colloquium

**Friday, October 28th, 2022**

**Time:** 2:30 p.m. **Place:** Jeffery Hall, Room 234

**Speaker:** Michael Albanese (University of Waterloo)

**Title:** The Yamabe Invariant of Complex Surfaces

**Abstract:** To any suitable geometric space (closed smooth manifold), one can associate a real number called the Yamabe invariant which arises from considerations in Riemannian geometry. For surfaces, this number is a familiar quantity, but in higher dimensions, it is less understood. However, as we will see, more can be said if one restricts to those spaces which admit a complex structure, e.g. orientable surfaces. This talk is partly based on joint work with Claude LeBrun.

Michael Albanese earned his PhD from Stony Brook University under the supervision of Claude LeBrun. He recently started a postdoc at the University of Waterloo after completing a postdoc at UQAM. His research interests are in complex and Riemannian geometry, as well as some areas of algebraic topology. In particular, non-Kahler surfaces, almost complex structures, and spin geometry.