NCMW  Intersection Theory (2022)
Speakers and Syllabus
Speakers and Syllabus:
Name of the Speakers with their affiliation. 
No. of Lectures 
Detailed Syllabus 
Nitin Nitsure (NN) 
6 
Basics of intersection theory (Cycles, rational equivalence, functoriality properties, relevant commutative algebra background) Main reference: Fulton, Chapter 1 
Amit Hogadi (AH) 
4 
Vector bundles and Chern classes (Divisors and line bundles, intersection with divisors, Gysin map for divisors, Segre classes, Chern classes, the projective bundle formula) Main reference: Fulton chapters 2, 3 
Chetan Balwe (CB) 
4 
Deformation to the normal cone (Segre class of a cone, Segre class of a subscheme, multiplicity along a subvariety, deformation to the normal cone) Main reference: Fulton chapters 4, 5 
Anand Sawant (AS) 
4 
The intersection product (Construction of the intersection product using reduction to the diagonal, the moving lemma and Serre’s Tor formula) Main reference: Fulton chapters 6, 11 
V. Srinivas (VS) 
6 
The Grothendieck RiemannRoch theorem (The Chern character, Todd classes, the Grothendieck group of veector bundles, the Grothendieck RiemannRoch theorem) 
Kapil Paranjape (KP) 
4 
Overview of connections of intersection theory with Hodge theory 
Time Table
Tentative timetable, mentioning names of the speakers and tutors with their affiliation:
Day 
Date 
Lecture 1 (9.30–11.00) 
Tea (11.–11.30) 
Lecture 2 (11.30–1.00) 
Lunch (1.00–2.30) 
Lecture 3 (2.30–4.00) 
Tea /Snacks (4.004.30) 
Lecture 4/Discussion (4.305.30) 


(Name of the speaker) 

(Name of the speaker) 

(Name of the speaker) 

(Name of the speaker) 
Mon 
02/05 
NN 1 

AH 1 

NN 2 

Discussion 
Tues 
03/05 
NN 3 

AH 2 

CB 1 

Discussion 
Wed 
04/05 
NN 4 

AH 3 

Discussion 

 
Thu 
05/05 
NN 5 

AH 4 

CB 2 

Discussion 
Fri 
06/05 
NN 6 

CB 3 

CB 4 

Discussion 
Sat 








Sun 








Mon 
09/05 
AS 1 

AS 2 

VS 1 

Discussion 
Tues 
10/05 
AS 3 

KP 1 

VS 2 

Discussion 
Wed 
11/05 
AS 4 

KP 2 

VS 3 

 
Thu 
12/05 
KP 3 

VS 4 

VS 5 

Discussion 
Fri 
13/05 
KP 4 

VS 6 

Discussion 

 








