AFS - III (2018) KSOM - Speakers and Syllabus

Name of the Speakers with their affiliation, who will cover each module of at least 6( 1hr) lectures.

No. of Lectures each of 1.5 hrs

Detailed Syllabus

Topology

Prof. Anant Shastri, IIT Bombay

4

(first week)

Fundamental Groups and Covering Space Theory

(as per AFS – III syllabus)

Dr. T. E. Venkata Balaji, IIT Madras

12

(last three weeks)

Remaining part of the syllabus up to Homology Theory (as per AFS – III syllabus)

Algebra

Prof. Parvati Shastri, CBS Mumbai

4

(first week)

 

Algebra as per AFS – III syllabus

Prof.U K Anandavardhanan, IIT Bombay

4
(Second week)

 

 

Prof. Krishna Hanumanthu, CMI Chennai

 

4

( third week)

Prof. Manoj Kummini, CMI Chennai

4

(fourth week)

Analysis

Prof. Partha Sarathi Chakraborty, IMSc Chennai

8

(First two weeks)

Banach Spaces and Hilbert Spaces from the book “Functional Analysis” by Prof. Kesavan (TRIM 52)

Prof. Kesavan, IIT Madras

4

(third week)

Baire’s Theorem and Applications from TRIM 52

Prof. Vijayarajan, KSOM, Kozhikode

4

(fourth week)

Topics in Banach Algebras

 

 

References:

 1. “Functional Analysis” by Prof. S. Kesavan, TRIM 52, Hindustan Book Agency, 2009

 2. for books and syllabus, see the detailed syllabus of the AFS available at the ATM Schools website

 

Time-Table with initials of speakers** and course associates* (to be updated) for all days of the programme:

 

Day

Date

Lecture 1

(9.30–11.00)

Tea

(11.00–11.30)

Lecturer 2

(11.30–1.00)

Lunch

(1.00–2.30)

Tutorial 1

(2.30–3.30)

Tea

(3.30-4.00)

Tutorial 2

(4.00-5.00)

Snacks

5.00

Mon

02-07-2018

AS

T

E

A

 

 

 

 

 

PS

 

 

 

 

 

 

AS

 

 

 

 

 

 

PS

 

 

 

 

 

 

Tues

03-07-2018

PSC

AS

PSC

AS

Wed

04-07-2018

PS

PSC

PS

PSC

Thu

05-07-2018

AS

PS

AS

PS

Fri

06-07-2018

PSC

AS

PSC

AS

Sat

07-07-2018

PS

PSC

PS

PSC

SUNDAY : HOLIDAY

Mon

09-07-2018

UKA

 

 

T

E

        A

 

 

 

 

PSC

 

 

 

 

 

 

UKA

 

 

 

 

 

 

PSC

 

 

 

 

 

 

Tues

10-07-2018

TEVB

UKA

TEVB

UKA

Wed

11-07-2018

PSC

TEVB

PSC

TEVB

Thu

12-07-2018

UKA

PSC

UKA

PSC

Fri

13-07-2018

TEVB

UKA

TEVB

UKA

Sat

14-07-2018

PSC

TEVB

PSC

TEVB

SUNDAY : HOLIDAY

Mon

16-07-2018

KH

 

 

 

 

T

E

A

 

 

TEVB

 

 

 

 

 

 

KH

 

 

 

 

 

 

TEVB

 

 

 

 

 

 

Tues

17-07-2018

SK

KH

SK

KH

Wed

18-07-2018

TEVB

SK

TEVB

SK

Thu

19-07-2018

KH

TEVB

KH

TEVB

Fri

20-07-2018

SK

KH

SK

KH

Sat

21-07-2018

TEVB

SK

TEVB

SK

SUNDAY : HOLIDAY

Mon

23-07-2018

MK

 

 

 

T

E

A

 

 

 

TEVB

 

 

 

 

 

 

MK

 

 

 

 

 

 

TEVB

 

 

 

 

 

 

Tues

24-07-2018

VR

MK

VR

MK

Wed

25-07-2018

TEVB

VR

TEVB

VR

Thu

26-07-2018

MK

TEVB

MK

TEVB

Fri

27-07-2018

VR

MK

VR

MK

Sat

28-07-2018

TEVB

VR

TEVB

VR

 

* At least 1 (ideally 2) Tutorial Instructors (apart from the lecturer) arranged by the respective lecturer / group

** AS – Anant Shastri
TEVB – T. E. Venkata Balaji (Topology)
PS – Parvati Shastri,
UKA-U.K. Anandavardhanan,MK – Manoj Kummini (Algebra)
PSC – Partha Sarathi Chakraborty, SK – S. Kesavan, VR -- Vijayarajan (Analysis)

 

 

Tutorial Assistants: More to be fixed, names will be continuously updated on the website after confirmation

S.

Name / Subject

Affiliation

Duration

1

Mr. Subhajit Chanda / Algebra

Research Scholar, Dept of Maths, IIT-Madras

Last two weeks

2

Ms. Pratiksha Shingavekar / Algebra

Research Scholar, Dept of Maths, IIT-Madras

Last two weeks

3

Mr.Repana Devendra /Analysis'

Dept of Maths, IIT-Madras

Second and third weeks

 4

Mr. Syamkrishnan M. S. / Functional Analysis

Research Scholar, KSOM

(4 weeks)

5

Ms.Bandi Prasuna / Algebra

PhD Scholar, School of Mathematics TIFR

First two weeks

6

Mr. Jayakumar Ravindran / Algebra and Topology

JRF Mathematics, IMSc, Chennai

Algebra for the first two weeks and Topology for
all 4 weeks

7

Mr. Md Hasan Ali Biswas /Functional Analysis

Dept of Maths, IIT-Madras

3rd and 4th week