Indian Institute of Technology Bombay
Mathematics Association of IIT Bombay and Bombay Mathematical Colloquium
Speaker: | Prof.Dipendra Prasad |
Affiliation: | TIFR,Bombay |
Title: | Algebraic Number Theory |
Date: | Friday 21 March, 2003 |
Time: | 5.05 p.m.- 6.10 p.m. |
Venue: | Ramanujan Hall |
Abstract |
The lecture will give an introduction to some aspects of algebraic number theory via concrete simple examples. The basicquestion used to illustrate the theory will be: how does a polynomialwith integral coefficients factorise modulo prime numbers. We will give an introduction to the Artin's primitive root conjecture, and discuss a question of Erd\os (answered by Corrales-Rodrigaqez and Schoof): if two integers m and n have the same order modulo p, for almost all primes p, then is m = n? Time permitting, we will discuss some generalisations which are an active area of research. |