## 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

## Contact

Department of Mathematics
Michigan State University