Zassenhaus Lecture 2 - Alex Lubotzky

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Alex Lubotzky
January 28, 2014
4:30PM - 5:30PM
Location
Cockins Hall 240

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Add to Calendar 2014-01-28 16:30:00 2014-01-28 17:30:00 Zassenhaus Lecture 2 - Alex Lubotzky Title:  From Ramanujan Graphs to Ramanujan ComplexesSpeaker:    Alex Lubotzky, Einstein Institute of MathematicsAbstract:  Ramanujan graphs are optimal expanders from spectral point of view. Their explicit constructions in the 80's used the works of Deligne and Drinfeld on the so called Ramanujan conjecture for GL(2) in the theory of automorphic forms. The extension of these works by  Lafforgue to GL(n)  (for which he got the Fields Medal in 2002) opened the door for constructions of high dimensional versions. These complexes will be described as well as their applications. Zassenhaus Poster 2014  Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
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TitleFrom Ramanujan Graphs to Ramanujan Complexes

Speaker:    Alex Lubotzky, Einstein Institute of Mathematics

Abstract:  Ramanujan graphs are optimal expanders from spectral point of view. Their explicit constructions in the 80's used the works of Deligne and Drinfeld on the so called Ramanujan conjecture for GL(2) in the theory of automorphic forms. The extension of these works by  Lafforgue to GL(n)  (for which he got the Fields Medal in 2002) opened the door for constructions of high dimensional versions. These complexes will be described as well as their applications.

Zassenhaus Poster 2014

 

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