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Number Theory Seminar

Thursday, February 29, 2024
4:00pm to 5:00pm
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Linde Hall 387
GRH and finite flat group schemes over Z
Rene Schoof, Department of Mathematics, University of Rome,

A commutative finite flat group scheme G over Z is killed by a prime number p and hence its order is a power of p. Tate asked whether a simple group scheme is necessarily isomorphic to Z/pZ or μp. This has been proved for primes p \le 19. Under assumption of the Generalized Riemann Hypothesis we extend this result to primes $ p \le 37$.

This is joint work with Lassina Dembele.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].