This IST postponed and the new date will be intimated soon.
Convener(s)
| Name: | Prof. S. D. Adhikari | Dr. A. M. Buhphang |
| Mailing Address: | (Formerly at Harish Chandra Research Institute, Allahabad) Department of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur – 711202, West Bengal. |
Department of Mathematics North-Eastern Hill University, Shillong-793022, Meghalaya. |
| Email: | adhikarisukumar at gmail.com | ardeline17 at gmail.com, ardeline at nehu.ac.in |
Please Note: Participants have to arrange for their own travel.
Dates:
Monday, June 29, 2020 - 16:45 to Saturday, July 11, 2020 - 18:30
Venue:
Venue Address:
Department of Mathematics
North-Eastern Hill University,
Shillong-793022.
Venue State:
Venue City:
PIN:
793022
Chrono Order:
361
Syllabus:
Syllabus:
| Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
| Prof. S.D.Adhikari Ramakrishna Mission Vivekananda Educational and Research Institute, Belur |
6 | Divisibility Theory in Integers; Congruences: Euler-Fermat, Wilson's Theorem, Chinese Remainder Theorem, quadratic reciprocity law, Sum of two squares. (first week) |
| Prof. D.S. Ramana H.R.I. Allahabad. |
6 | Arithmetical functions - average order of some functions; Distribution of Primes: Chebyshev's bound. (first week) |
| Prof. D. Khurana Panjab University, Chandigarh |
9 | Historical importance of Rings in solving problems of Number theory, Fermat's Last Theorem, Elliptic Curves, Classification of primitive Pythagorean triples, Fermat’s Theorem on sum of two squares; Norms and Traces, Number Rings of quadratic and cyclotomic number fields, Discriminant, Number Rings as free abelian groups, Integral Bases, Norms and Classes of Ideals, Class Numbers of Number Fields and their finiteness. (second week) |
| Dr. A.M.Buhphang NEHU, Shillong. |
3 | Unique Factorization Domains, Principal Ideal Domains, Euclidean Domains: Basic properties and interrelations, Number fields and Number rings. (second week) |
References:
1. David M. Burton, Elementary Number theory, Universal Book stall, New Delhi, 2011.
2. G.H. Hardy and E.M. Wright , An Introduction to the Theory of Numbers, The English Language Society and Oxford University Press, 1998.
3. Paolo Ribenboim, Classical Theory of Algebraic Numbers, Springer-Verlag, New York, 2001.
Tutorial Assistants:
| S. No | Name | Affiliation |
| 1 | Ramdin Mawia | I.S.I. Kolkata |
Time Table:
| Day | Date |
Lecture1 |
Tea |
Lecture 2 (11.30 to 1.00) |
Lunch (1.05 to 2.25) |
Tutorial (2.30–3.30) |
Tea (3.35 to 3.55) |
Tutorial (4.00 to 5.00) |
Snacks 5.05 to 5.30 |
| (name of the speaker) |
(name of the speaker) |
(name of the speaker + tutors) |
(name of the speaker + tutors) |
||||||
| Mon | 29.06.20 | SDA | DSR | DSR+SDA +RM |
SDA+DSR +RM |
||||
| Tue | 30.06.20 | SDA | DSR | DSR+SDA +RM |
SDA+DSR +RM |
||||
| Wed | 01.07.20 | SDA | DSR | DSR+SDA +RM |
SDA+DSR +RM |
||||
| Thu | 02.07.20 | SDA | DSR | DSR+SDA +RM |
SDA+DSR +RM |
||||
| Fri | 03.07.20 | SDA | DSR | DSR+SDA +RM |
SDA+DSR +RM |
||||
| Sat | 04.07.20 | SDA | DSR | DSR+SDA +RM |
SDA+DSR +RM |
||||
| SUNDAY : OFF | |||||||||
| Mon | 06.07.20 | DK | DK | DK+AMB +RM |
AMB+DK +RM |
||||
| Tue | 07.07.20 | DK | AMB | DK+AMB +RM |
AMB+DK +RM |
||||
| Wed | 08.07.20 | DK | DK | DK+AMB +RM |
AMB+DK +RM |
||||
| Thu | 09.07.20 | DK | AMB | DK+AMB +RM |
AMB+DK +RM |
||||
| Fri | 10.07.20 | DK | AMB | DK+AMB +RM |
AMB+DK +RM |
||||
| Sat | 11.07.20 | DK | DK | DK+AMB +RM |
AMB+DK +RM |
||||
DSR – D.S. Ramana.
SDA – S.D. Adhikari.
D.K. – D. Khurana.
AMB – A. M. Buhphang.
RM – Ramdin Mawia.
Selected Applicants:
TBA
How to Reach:
School Short Name:
ant
Last Date Application:
Saturday, October 5, 2019
School Type:
IST