Geometry of theta correspondence over finite fields

Abstrat: 

I will talk about two results that geometrize the theta correspondence over finite fields in the style of Springer and Lusztig. The first construction, joint with Gurevich, gives analogs of character sheaves in the context of theta correspondence. The second result, joint with Jiajun Ma, Congling Qiu and Jialiang Zou, describes the theta correspondence for principal series representations using Springer theory.

Bio:

Yun received his Bachelor’s degree from Peking University in 2004, and the PhD degree from Princeton University in 2009, under the supervision of R.MacPherson. He was a member of the Institute for Advanced Study 2009-2010, and a CLE Moore Instructor at MIT 2010-2012.