Columbia University Department of Mathematics JOSEPH FELS RITT LECTURES Alex Lubotzky Hebrew University Property 'tau' in Geometry, Combinatorics, Group Theory and Automorphic Forms The first lecture will be dedicated to presenting property 'tau' (which is a variant of Kazhdan property T from representation theory) and its applications in graph theory, communication networks and computational group theory. In the second lecture, we will describe applications of property 'tau' to hyperbolic manifolds and connections with automorphic forms. The 2 lectures will be related but independent.   Thursday, April 13 Friday, April 14 4:30 p.m. 312 Mathematics Building Traveling to the Math Department Tea will be served each day at 3:45 p.m. in Room 508 Mathematics

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