## Geometry & Representation - Steven Spallone (Indian Institute)

### Monday, November 5th, 2018

**Time:** 4:30-5:30 p.m. **Place:** Jeffery Hall 319

**Speaker:** Steven Spallone (Indian Institute of Science Education and Research)

**Title:** Spinoriality of Orthogonal Representations of Reductive Groups

**Abstract: **Let G be a connected semisimple complex Lie group and $\pi$ an orthogonal representation of G. We give a simple criterion for whether $\pi$ lifts to the spin group Spin(V), in terms of its highest weights. This is joint work with Rohit Joshi.