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Some Applications of Modular Forms

some of these applications. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary;

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Expansion in Finite Simple Groups of Lie Type

-Szemeredi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained;

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Spectral Geometry

of a manifold encode its geometry. In this volume, research and expository articles, including those of the plenary speakers Peter Sarnak and;

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Orthogonal and Symplectic $n$-level Densities

. This method uses the Ratios Conjectures (Conrey, Farmer, and Zimbauer, 2008) for averages of ratios of zeta or $L$-functions. Katz and Sarnak;

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Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vigneras, Carolyn Gordon, and others on Mark Kac's question Can you;

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Families of Automorphic Forms

. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e?ect of variation of the multiplier s- tem (a function on the;

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Contributions to Automorphic Forms, Geometry and Number Theory

, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze;

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