Syllabus to be covered in terms of modules of 6 lectures each :
Name of the Speakers with their affiliation, who will cover each module of 4 lectures 
No. of Lectures 
Detailed Syllabus 
A.J. Parameswaran TIFR, Mumbai 
4 
Will cover fundamental material about projective varieties and algebraic groups which further introduce reductive groups and formulate the GIT problem in the first few lectures. 
V Balaji Chennai Mathematical Institute,Chennai. 
4 
Introduce the concept of stability/semi stability and consider examples as in the book of Mumford up to chapter 4. 
D. S. Nagaraj The Institute of Mathematical Sciences, Chennai

4 
Concentrate on specific quotients by General Linear groups to solve specific moduli problems. Construction of moduli spaces of vector bundles, parabolic bundles are some of the topics will be emphasised. 
S. Kannan Chennai Mathematical Institute,Chennai. 
4 
There will also be discussing on specific quotients by torus on Schubert varieties and Bott Samelson varietis apart from the generalities on torus quotients. 
References:
1. Geometric Invariant Theory by Mumford and Fogarty.
2. Introduction to Moduli Problems and Orbit Spaces, P.E. Newstead
Names of the tutors / course associate with their affiliation :
 Suratno Basu, IMSc Chennai.
 Rohit Varma, IMSc Chennai.
Tentative timetable mentioning the names of speakers with their affiliation:
Day 
Date 
Lecture 1 (9.30–11.00) 
Tea (11.00–11.30) 
Lecture 2 (11.30–1.00) 
Lunch (1.00–2.00) 
Lecture 3 (2.00–3.30) 
Tea (3.304.00) 
Tutorial (4.005.00) 
Snacks 5.005.30 


(name of the speaker) 

(name of the speaker ) 

(name of the speaker) 

(Names of the tutors) 

Mon 
14/5/2018 
V.B 

A.J.P. 

S.K. 

SB/RV 

Tues 
15/5/2018 
A.J.P 

S.K 

V.B 

SB/RV 

Wed 
16/5/2018 
D.S.N 

V.B 

S.K. 

SB/RV 

Thu 
17/5/2018 
V.B 

S.K 

D.S.N 

SB/RV 

Fri 
18/5/2018 
A.J.P 

D.SN 



SB/RV 

Sat 
19/5/2018 
DSN 

A.J.P. 



SB/RV 

 SB = Suratno Basu
 RV = Rohith Varma