School of Algebra

(18 - 30 April 2022)


Syllabus and Speakers

  • Linear Algebra

Dr Bibin Mathew, Amal Jyothi College of Engineering, Kanjirappally

Eigenvalues and Eigenvectors, Cayley-Hamilton theorem, Matrix representation of linear transformations, Change of basis

Dr Rahul Rajan, CUSAT

Canonical forms, Diagonal forms, Triangular forms, Jordan forms, Quadratic forms, Reduction and Classification of quadratic forms

  • Group Theory

Dr Ullas Thomas, St Berchmans College, Changanacherry

Groups, Subgroups, Cyclic group, Permutation groups, Dihedral groups Direct product(Fundamental theorem for finitely generated abelian groups), Cosets, Normal Subgroups, Normal series, Class Equations, Cayley’s theorem, Sylow theorems

  • Ring Theory

Dr Balakrishnan R, Govt. College, Kattapana

Rings, Integral domains, Ideals, prime and maximal ideals, quotient rings, Fields, Gaussian Integers, Polynomial Ring, Irreducibility, UFD, PID, ED, Field Extensions, Cyclotomic Extension, Algebraic and Transcendental Extension, Galois Extension, Galois Groups, Separable Extension, Simple Extensions

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Registration

  • Registration fee: Rs 500/-

  • The registration fee may be remitted to :

A/c No: 0340053000004119

Name: The Principal and Head, Department of Mathematics, SB college, Changanassery

Bank: South Indian Bank, Near S B College Changanassery.

IFSC: SIBL0000340.

  • Last date for registration: 15.04.2022.

  • Selected participants will be intimated through e-mail on or before 17.04.2022.

  • Registration Fee will not be refunded.

To register please fill the form given below