Abelian Varieties Multi-Site Seminar Series: Kalyan Chakraborty

  • Date: 07/05/2018
Speaker(s):
Kalyan Chakraborty (Harish Chandra Research Institute)
Location: 

University of Calgary

Topic: 

Class Numbers of Certain Quadratic Fields [video]

Description: 

A video of this event is available on mathtube.org.

 

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.