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|
|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
|Date:||12 / 11 / 2008|
|Time:||11:15am - 12:05pm|