Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Amit Maji
(IIT Roorkee)

6

Vector spaces, bases, dimension, isomorphism, dual spaces, reflexivity, annihilators, direct sum, quotient space, tensor product, multilinear forms, alternating forms

Prof. Arunava Mandal
(IIT Roorkee)

6

Linear transformations, matrices, invariance, projection, change of basis, similarity, rank and nullity, diagonalization, nilpotency, Jordan form

Prof. Pranab Sardar
(IISER Mohali)

6

Inner product spaces, Gram-Schmidt procedure, operators on inner product spaces: normal operator, self-adjoint operator, spectral theorems, singular value decomposition.

Prof. S G Dani
(Centre for Excellence in Basic Sciences, Mumbai)

6

Various groups of matrices: orthogonal, unitary and symplectic groups; exponential mapping on matrix groups. various decomposition of these matrix groups, and its applications.

Day

Date

Lecture 1

(9.30
to
10.30)

Tea

(10.35 to
10.55)

Lecturer 2

(11.00
to
12.00)

Lecture 3

(12.00
to
1.00)

Lunch

(1.00 to
2.20)

Lecture 4

(2.30
to
3.30)

Tea

(3.35  to
3.55)

Discussion

(4.00
to
500)

Snacks

(5.05 to
5.30)

(Speaker’s name)

(Speaker’s name)

(Speaker’s name)

(Speaker’s name)

(Tutor’s name)

Mon

2^nd Dec

AM

AM

ArM

ArM

AM+Javed +Prateek

Tue

3rd Dec

AM

AM

ArM

ArM

AM+Javed +Prateek

Wed

4^th Dec

AM

AM

ArM

ArM

Maheshanand

Thu

5^th Dec

PS

PS

SGD

SGD

PS+ArM+

Arindam

Fri

6^th Dec

PS

PS

SGD

SGD

PS+ArM+

Arindam

Sat

7^th Dec

PS

PS

SGD

SGD

SGD+ArM+

Arindam

S. No.

Name

Affiliation

1

Mo Javed

IIT Roorkee

2

Prateek

IIT Roorkee

3

Arindam Jana

IISER Berhampur