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Class Numbers of Certain Quadratic Fields

Speaker: Kalyan Chakraborty

Date: Thu, Jul 5, 2018

Location: PIMS, University of Calgary

Conference: PIMS CRG in Explicit Methods for Abelian Varieties

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

Class number of a number field is one of the fundamental and mysterious objects in algebraic number theory and related topics. I will discuss the class numbers of some quadratic fields. More precisely, I will discuss some results concerning the divisibility of the class numbers of certain families of real (respectively, imaginary) quadratic fields in both qualitative and quantitative aspects. I will also look at the 3-rank of the ideal class groups of certain imaginary quadratic fields. The talk will be based on some recent works done along with my collaborators.