AIS - Analytic Methods in Algebraic Number Theory
Venue: IIT, Delhi
Dates: 4 Dec 2023 to 16 Dec 2023
Convener(s)
| Name: | Dr. Ekata Saha | Dr. Biswajyoti Saha |
| Mailing Address: | Assistant Professor Department of Mathematics Indian Institute of Technology Delhi |
Assistant Professor Department of Mathematics Indian Institute of Technology Delhi |
| Email: | ekata at maths.iitd.ac.in | biswajyoti at maths.iitd.ac.in |
In number theory, we often see various kinds of methods employed to answer questions arising in a seemingly different context. The aim of this advanced instructional school is to introduce the participants to such an instance. To be precise, we shall discuss analytic methods in algebraic number theory, leading to the understanding of class number of imaginary quadratic fields, or more generally, CM fields, and also for almost normal number fields and their generalisations, by means of Siegel’s theorem, Brauer-Siegel theorem, and effective Brauer-Siegel theorem.