Abstract

The notion of representations of Lie algebras on categories ("2-representations") has proven useful in representation theory. I will discuss joint work with Andrew Manion for the case of the super Lie algebra gl(1|1). A motivation is the reconstruction of Heegaard-Floer theory, a 4-dimensional topological field theory, and its extension down to dimension 1.

About the speaker

Raphaël Alexis Marcel Rouquier is a French mathematician and a professor of mathematics at UCLA. He was hired by the CNRS in 1992 where he completed his PhD (1992) and Habilitation (1998–1999). He was appointed director of research there in 2003. From 2005 to 2006 he was Professor of Representation Theory at Department of Pure Mathematics at the University of Leeds before moving to University of Oxford as the Waynflete Professor of Pure Mathematics. In 2012, he moved to UCLA.

He was awarded the Whitehead Prize in 2006 and the Adams Prize in 2009 for contributions to representation theory. He was awarded the Elie Cartan Prize in 2009. In 2012 he became a fellow of the American Mathematical Society. In 2015 he became a Simons Investigator.

Personal Homepage：

https://www.math.ucla.edu/~rouquier/