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Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository articles and new developments extending from Yuri I. Manin s outstanding contributions to algebra, algebraic geometry, number theory, algorithmic complexity, noncommutative geometry and mathematical physics.§Among Manin s numerous achievements are the proof of the functional analogue of the Mordell conjecture, the theory of Gauss--Manin connection, the proof with V. Iskovskikh of the nonrationality of smooth quartic threefolds, the theory of $p$-adic automorphic functions, and the theory of quantum computations.§Contributors in the first volume include:§K. Behrend§V.G. Berkovich§J.-B. Bost§P. Bressler§D. Calaque§J.F. Carlson§A. Chambert-Loir§E. Colombo§A. Connes§C. Consani§A. Dabrowski§C. Deninger§I.V. Dolgachev§S. K. Donaldson§T. Ekedahl§A.-S. Elsenhans§B. Enriquez§P. Etingof§B. Fantechi§V.V. Fock§E.M. Friedlander§B. van Geemen§G. van der Geer§E. Getzler§A.B. Goncharov§V.A. Iskovskikh§J. Jahnel§M. Kapranov§E. Looijenga§M. Marcolli§B. Tsygan§E. Vasserot§M. Wodzicki
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