Department of Mathematics

Algebra

  •  Preston Wake, MSU
  •  Eisenstein congruences and class groups of pure fields
  •  01/12/2022
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Preston Wake (wakepres@msu.edu)

Let p and N be primes and assume N is -1 modulo p. Then the class number of $\mathbf{Q}(N^{1/p})$ is divisible by p. I'll explain how to prove this using congruences between modular forms. This is joint work with Jackie Lang

 

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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