Salient Features of the Syllabus:

Field theory evolved as a result of attempts by Abel and Galois to find roots of polynomials and it proved instrumental in solving the problem. Since then Field theory has become a very important part of mathematics and has relationships with various other topics like Group theory (which incidentally was born together with Field theory and the first groups studied were the Galois groups of polynomials), Algebraic number theory (which involves the study of finite extensions of the field of rational numbers), Algebraic Geometry (the study of polynomial rings over fields) etc. We have framed our syllabus with a view to cover the basics of Field theory and to demonstrate how the basic ideas lead to complete understanding of the solvability of polynomials by radicals and also to the solutions of classical problems like trisecting an angle, duplicating a cube, squaring a circle and construction of regular n-gons etc. The school will be open to college and university teachers, and in some cases, to research scholars and post-doctoral fellows from local institutions. Considering the low level of preparation and mathematical maturity, especially on the part of those selected from colleges and universities located in the J&K state, the courses to be covered at the school shall be paced so as to be useful to weaker participants, and so the lectures will be at a very basic level. Serious attempts will be made to get the participants involved.

 Syllabus

Names of the Tutors

1. Dr. Harpreet Grover, GNDU, Amritsar.
2. Dr. Vikas Jadhav, Wadia College, Pune
3. Dr. Mukhtar Khanday, Kashmir University, Srinagar

 Time Table