For more information about this meeting, contact Robert Vaughan.
| Title: | The Alon Boppana Theorem on the Bruhat-Tits building PGL_n |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Ming-Hsuan Kang, Penn State University |
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| Abstract: |
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| 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 |
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| Date: | 12 / 11 / 2008 |
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| Time: | 11:15am - 12:05pm |
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