Friday, February 29, 2008

seminars during March 3 to 7

Next week the following seminars are scheduled.

Year-long programme in Topology
Title : 3 manifolds,
Speaker : A.R.Shastri,
Time : 5:15 - 6:15 pm,
Venue : Room no 113,
Date : 3/3/2008 (monday) and 5/3/2008 (wednesday)



Thursday, February 28, 2008


Todays additional colloquium is at 5:15 pm and not at 4:40 pm as
previously announced

Wednesday, February 27, 2008

Additional Colloquium

We have one more Colloquium this week. Msc students/Research scholars are
encouraged to attend

Department Colloquium

Speaker: Prof. Mario Ahues, LAMUSE,
Department of Mathematics
University of St-Etienne, France

Title: Iterative Refinement: Theory and Applications

Venue: Ramanujan Hall

Time: 4:40pm to 5:40 pm
Date: 28 Feb

If an abstract problem is put in the form of a functional
equation and if a numerical algorithm is available to produce an
initial approximation of the exact solution, then a sequence of
approximations can be built using only the numerical algorithm. Under
rather mild hypotheses, this sequence of approximations
is convergent to the exact solution of the abstract problem. Some examples
of specific application are: linear and nonlinear integral
equations including eigenvalue problems, computation of the Hermitian
positive definite square root of an Hermitian positive definite matrix and
Sylvester equations.

Friday, February 22, 2008

seminars during Feb 25-29

We have five talks during the week Feb 25-29

Colloquium talk:
Speaker: A. Joseph Kennedy
Title: Combinatorial Representation Theory
Date: February 26, 2008 (Tuesday)
Time: 4:30 to 5:30 pm
Venue: Ramanujan Hall


Let G be a group of linear transformations on a finite
dimensional vector space V. Then G acts diagonally on
V^k, the k-th tensor power of V. The basic problem is
to know how does V^k decompose into irreducible
representations of G. One way of studying this problem
is to consider the algebra of all linear
transformation on V^k that commute with the G-action,
called centralizer algebra of G. A large class of
Diagram algebras (whose basis consist of diagrams with
certain multiplication) arises in this way as the
centralizer algebras of different groups. This
provides the connection between the representation
theory and related combinatorics. The main part of
this talk is to discuss this aspect in detail.

Seminar talk:
Speaker: A. Joseph Kennedy
Title: Partition Algebras
Date: February 28, 2008 (Thursday)
Time: Time 3 to 4 pm
venue: room no 105


In the early 1990's, the partition algebra appeared
independently in the works of P. Martin and V. F. R.
Jones. Their work on the partition algebra stemmed
from studies of Potts models and related problems in
statistical mechanics. In 1993, Jones considered the
partition algebra P_k(n) as the centralizer algebra of
the symmetric group S_n acting on V^k, where V is the
permutation module for S_n. This talk mainly
discusses the above work and its continuation by me.

Popular Lecture Series Talk
Speaker: Professor Jaikumar Radhakrishnan
School of Technology and Computer Science
Tata Institute of Fundamental Research, Mumbai
Title: List-decoding Reed-Solomon codes
Date: 29 February 2008
Time: 5:05-6 pm
Venue: Ramanujan Hall

Abstract: We will introduce the notion of list-decoding, and
discuss the list-decoding algorithms of Sudan, and Guruswami &
Sudan for list-decoding Reed-Solomon codes. We will then describe
some results on the limits of list-decoding. The talk will
involve mainly linear algebra and should be accessible to a
general mathematical audience.

Year-Long Programme in Topology
Speaker : A.R. Shastri,
Topic : 3 - manifolds,
venue : room no 113,
Days : Monday (25/02/2008) and Wednesday (27/02/2008)
Time : 5:15 - 6:15 pm


Tony J. Puthenpurakal