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International symposium "Arithmetic days in Moscow"
June 15, 2011 12:40, Moscow, Steklov Mathematical Institute
 


Codes and sphere packings for a number theorist. Lecture 2

M. Tsfasmanab

a IITP
b Independent University of Moscow
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M. Tsfasman



Abstract: Simple combinatorial objects like error-correcting codes and geometric objects like packings of equal spheres happen to be linked to many interesting questions of number theory and arithmetic geometry. I shall give an introduction into codes and packings, then describe some existing applications of number theory to both, and then discuss open questions and not yet well-enough-developed asymptotic theory of number and function fields.

Language: English
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