IST Algebraic Number Theory (2016) - Speakers and Syllabus

Speakers and Syllabus

Name os Speaker	Affiliation	Topic
Ganesh Kadu	S. P. Pune University	1)Field Theory (2 and half hours) 2) Algebraic Numbers and Algebraic Integers, Algebraic Number Fields, Integral Basis and Discriminant (5 hours)
S. A. Katre	S. P. Pune University	1) Newton's theorem on symmetric polynomials (1 hour) 2) Divisibility (1 hour) 3) Euclidean Fields and Units (3 and half hours) 4) Divisibility in Quadratic Fields (1 hour) 5) Quadratic reciprocity law (1 hour)
S. D. Adhikari	H.R.I., Allahabad	1)Ideals, Divisors, Factors (1 hour) 2)Fundamental Theorem of Ideal Theory and its consequences (4 hours) 3)Fractional Ideals, Inverse of an Ideal (1 hour) 4)Second Proof of Fundamental Theorem of Ideal Theory (1 hour) (Relevant theory of Dedekind domains)
R. Thangadurai	H.R.I., Allahabad	1)Congruences, Norm of an Ideal, Ideals in Different Number Fields (2 hours) 2)Ramification Index and Degree of a Prime Ideal , Splitting of Rational Primes in Algebraic Number Fields (3 hours) 3)Splitting of Primes in Quadratic Fields (2 hours)
Anirban Mukhopadhyay	IMSc, Chennai	1)The ideal class group (1 hour) 2)Minkowski's Theorem (1 hour) 3)Finiteness of class number and its consequences (3 hours) 4)Class number computations (2 hours)
Note: The guidelines for the course are provided herewith. The teachers may do a variation in the topics as per need.

First 5 days:

Last 7 days:

Tutorials:
(Time: 2.30 -3.30 and 3.45-4-45)

First Week

Second Week

Snacks: 5.00 pm
Dinner: 8 pm

GK: Ganesh Kadu
SAK: S. A. Katre
SDA: S. D. Adhikari
RT: R. Thangadurai
AM: Anirban Mukhopadhyay
Associate Teachers: