Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

P Srinivas, IMSc Chennai

6

Divisibility, fundamental theorem of arithmetic, Euclidean algorithm, prime numbers, averages of arithmetic functions.

Amber Habib,

Shiv Nadar instittution of Eminence

4

Geometric properties of matrix groups: SO(3), SU(2), O(n) and SO(n).

 Prof. Geetha Venkataraman,
Dr. B. R. Ambedkar University Delhi

4

Proof of Sylow's Theorems and Cauchy's Theorem using group actions,

review of external, internal and semi direct products, groups of order pq, review of fundamental Theorem of finite abelian groups, p-groups, nilpotent groups, solvable groups, groups of certain order that have to be solvable, simple groups, the smallest insolvable group is A_5.

A. Satyanarayana Reddy,

Shiv Nadar Institution of Eminence

4

Basic definitions and examples of Rings, subrings, ideals, UFD, PID, ED, Polynomial rings, Number of units, zero divisors, nilpotent elements, irreducible, reducible and primes elements in the ring Z_n, Finite fields, Discrete valuation rings.

S. No.

Name

Affiliation

1

Ms. Khyati Sharma

Shiv Nadar Institution of Eminence

2

Mr. Shrinit Singh

Shiv Nadar Institution of Eminence

3

Ms. Kavita Samant

Shiv Nadar Institution of Eminence

Day

Date

Lecture 1

(9.30–11:00)

Tea

(11:00-11:15)

Lecturer 2

(11.15–12.45)

Lunch

(12.45 – 2.00)

Lecture 3

(2.00-3.30)

Tea

(3.30 -3.45)

Discussion

(3:45-4:45)

Snacks

(4.45 – 5.00)

Mon

5^th Feb

KS

AH

ASR

KS+KS1+ KS2

Tue

6^th Feb

KS

AH

ASR

AH+KS1+SS

Wed

7^th Feb

KS

GV

ASR

GV+KS1+SS

Thu

8^th Feb

KS

GV

AH

KS+KS1+ KS2

Fri

9^th Feb

KS

GV

AH

GV+KS2+SS

Sat

10^th Feb

KS

GV

ASR

ASR+KS2+SS