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Discrete Groups, Expanding Graphs and Invariant Measures
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The Banach-Ruziewicz Problem for n = 2, 3 Ramanujan Graphs is solved and the representation theory of PGL 2 is explained.Abstract:
Expanding Graphs.- The Banach-Ruziewicz Problem.- Kazhdan Property (T) and its Applications.- The Laplacian and its Eigenvalues.- The Representation Theory of PGL 2.- Spectral Decomposition of L 2(G(?)\G(A)).- Banach-Ruziewicz Problem for n = 2, 3 Ramanujan Graphs.- Some More Discrete Mathematics.- Distributing Points on the Sphere.- Open Problems.read more
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