PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:The Alon Boppana Theorem on the Bruhat-Tits building PGL_n
Seminar:Algebra and Number Theory Seminar
Speaker:Ming-Hsuan Kang, Penn State University
Abstract:
The celebrated Alon Boppana theorem describes the spectral relations between a family of finite k-regular graphs and their universal cover, a k-regular tree. However, this theorem fails for k-regular directed graphs in general. In this talk, we will investigate random walks on the regular directed graphs arising from the Bruhat-Tits building PGL_n and prove the Alon Boppana theorem for this special directed graphs.

Room Reservation Information

Room Number:MB106
Date:12 / 11 / 2008
Time:11:15am - 12:05pm