## Geometry and Representation Theory Seminar

### Monday, November 12th, 2018

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

**Speaker:** Yin Chen (Northeast Normal University, China)

**Title:** On vector invariant fields for finite classical groups

**Abstract: **In the recent work (https://doi.org/10.1016/j.jpaa.2018.07.015) with David Wehlau, we found a minimal polynomial generating set for the vector and covector invariant field of the general linear group over finite fields. Our method relied on some relations between the generators for the invariant ring of one vector and one covector. The remaining case (without covectors) is more complicated. In this talk, I will present an approach to find polynomial generating sets for the vector invariant fields of the most of finite classical groups. This is a joint work with Zhongming Tang.