This is course webpage for the course on modular forms at the Advanced Instructional school
at the IIT, Guwhati consisting of 6 lectures.
The link for the programme:-
https://www.atmschools.org/school/2019/ais/mf
22/05/2019 (9. 30-11 am) :Motivation, review of Hecke theory for full group, double coset operators.
23/05/2019 (11.30 am-1 pm): Correspondences and Double coset operators, action of Hecke operators on Fourier expansion of higher level.
24/05/2019 (9. 30 am-11 pm): Old forms and new forms.
25/05/2019 (11.30 am-1 pm): Newforms.
27/05/2019 (11.30 am-1 pm):-Main Lemma of Atkin-Lehner theory. Ref:-Lang's book on modular forms.
28/05/2019 (9 am-11.30 pm): Computer examples using SAGE and LFMFDB.
Text Book:
1. Diamond-Shurman, Introduction to modular forms.
2. Milne's online notes on modular forms.
3. Lang's book on modular forms.
Problem session:
Problem's in the theory of modular forms-Ram Murty et al.