The Advanced Training in Mathematics Schools (ATM Schools) were launched by the National Board for Higher Mathematics (NBHM) in May 2004. The purpose of these schools is to provide training in core subjects in Mathematics to Ph.D. students, young researchers and teachers. The emphasis in these schools is on learning mathematics by doing it. IIT Bombay and TIFR have jointly established the National Centre for Mathematics (NCM) in 2011. The instructional schools and workshops which were earlier planned by an NBHM committee on ATM Schools are now being organized under the supervision of the Apex Committee of the NCM.
Dates: 4 Dec 2023 to 16 Dec 2023
For more details please click : https://www.atmschools.org/school/2023/AIS/amant
Speakers and Syllabus
| Name of the Speaker with affiliation | No. of Lectures | Detailed Syllabus |
| Dr. Ekata Saha, IIT Delhi, New Delhi | 3 | Prerequisites from algebraic number theory: Integral basis, Dirichlet unit theorem, class group and class number, discriminant, different |
| Dr. Sneha Chaubey, IIIT Delhi, New Delhi | 3 | Prerequisites from analytic number theory: Riemann zeta function, Dirichlet L-functions, Euler product, functional equations, zero-free regions |
| Dr. Biswajyoti Saha, IIT Delhi, New Delhi | 2 | Prerequisites from representation theory of groups: Character of a representation, regular representation, Frobenius reciprocity, Artin’s theorem, p-elementary subgroups, Brauer’s theorem. |
| Prof. Sanoli Gun, IMSc, Chennai | 4 | Theory of Dedekind zeta function: Dedekind zeta function, functional equation, analytic class number formula, asymptotic distribution of ideals |
| Prof. M. Ram Murty, Queen’s University, Canada | 4 | TheoryofArtinL-series:ArtinL-series,Artin’sconjecture,Aramata- Brauer theorem, Artin symbol, Artin conductor, meromorphiccontinuation |
| Prof. Purusottam Rath, CMI, Chennai | 4 | Siegel’s theorem and Brauer’s extension: Siegel’s theorem, ineffectivity in Siegel’s theorem, Brauer’s extension of Siegel’s theorem |
| Prof. V. Kumar Murty, University of Toronto, Canada | 4 | Effective Brauer-Siegel theorem: Explicit formulas, instances of effective Brauer-Siegel theorem andapplications |
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 |
