Title:  Class group of real cyclotomic fields.
Speaker: Mohit Mishra
Affiliation: HRI, Prayagraj (Allahabad)
Date and Time: July 21, 2021 at 03:30PM
Venue: Seminar Hall, Kerala School of Mathematics
Abstract: For every finite extension of rational numbers, there is a group associated to it called the “Class Group”. Class group is a very mysterious object and there is no (infinite) family known with a prescribed class group. In 1979, G. Cornell proved that every finite abelian group G can be realized as a subgroup of a class group of infinitely many cyclotomic (totally imaginary) fields. In this talk, we will prove the analogue of this result for real cyclotomic fields. This is a joint work with L.C. Washington and R. Schoof.