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Supercongruences

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In 1985, Beukers introduced the notion of supercongruences. This term refers to the fact that a congruence holds modulo higher powers of an odd prime p. Examples of supercongruences have been observed in the context of number theory, mathematical physics and algebraic geometry. Currently, there is no systematic explanation for such congruences. In this talk, we discuss these developments, new results and future directions.

This talk is part of the Number Theory Seminar series.

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