TEW - Group Theory, Linear Algebra and Enumerative Combinatorics
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures (1.5 hours each) |
Detailed Syllabus |
|
Dr.Anuj Jakhar IIT Madras |
5 |
Basic definitions and examples of groups and homomorphisms, including cyclic, dihedral, permutation, alternating groups, and matrix groups. Subgroups, and the induced equivalence relations, quotient groups. Introduction to Group actions. |
|
Dr. Chandru Hegde Mangalore University |
4 |
Symmetry of plane figures, Isometries, Isometries of the plane, Finite groups of orthogonal operators on the plane. Group of symmetries of Platonic Solids. Few applications of groups in counting. |
|
Prof.BR Shankar NITK Surathkal |
5 |
Solving system of linear homogeneous and non-homogeneous equations, Vector spaces, Linear maps, Matrix representation of linear maps, Eigenvalues, Eigen vectors, Diagonalizability. |
|
Dr.A.Satyanarayana Reddy, Shiv Nadar Institution of Eminence |
4 |
Basic principles of Counting: Pigeonhole principle, principle of inclusionand exclusion, permutations, binomial coefficients, bijections, Recurrence relations, Generating functions, Two way counting. |
References:
-
Hoffman and Kunze,Linear algebra.
-
M.Artin, Algebra, Second Edition.
-
Joseph Gallian,Contemporary Abstract Algebra.
-
DavidS.Dummit and Richard M.Foote,Abstract Algebra.
-
Miklos Bona,A Walk Through Combinatorics.
-
Sheldon Axler,Linear Algebra Done Right.
-
D.I.A.Cohen, Basic Techniques of Combinatorial Theory, John Wiley and Sons,New York, 1978.
Name of the tutors:
|
S.No. |
Name |
Affiliation |
|
1 |
Dr. Prasad H. M. |
Assistant Professor,Department of Mathematics, SUIET, Mukka, Mangalore |
|
2 |
Mr. Karthik K. |
Research Scholar,Department of Mathematics, Mangalore University |
Time Table
|
Day |
Date |
Lecture1 (9.30–11:00) |
Tea |
Lecturer2 (11.15–12.45) |
Lunch |
Lecture3 (2.00-3.30) |
Tea |
Discussion/ Tutorial (3:45-4:45) |
Snacks |
|
Mon |
05.08.2024 |
AJ |
BRS |
ASR |
AJ,PHM,KK |
||||
|
Tue |
06.08.2024 |
ASR |
AJ |
BRS |
BRS,PHM,KK |
||||
|
Wed |
07.08.2024 |
CH |
BRS |
AJ |
ASR,PHM,KK |
||||
|
Thu |
08.08.2024 |
AJ |
ASR |
CH |
CH,PHM,KK |
||||
|
Fri |
09.08.2024 |
AJ |
CH |
BRS |
AJ,PHM,KK |
||||
|
Sat |
10.08.2024 |
CH |
BRS |
ASR |
BRS,PHM,KK |
Full forms for the abbreviations of speakers and tutors:
Speakers: AJ: Anuj Jakhar
BRS: B R Shankar
ASR: A. Satyanarayana Reddy
CH: Chandru Hegde
Tutors:
PHM: Prasad H. M.
KK: Karthik K.