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)

Tony

Convener

SCC

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This describes list of seminars and colloquia held at department of mathematics, IIT Bombay, Mumbai, India

## Friday, February 29, 2008

###
seminars during March 3 to 7

## Thursday, February 28, 2008

## Wednesday, February 27, 2008

###
Additional Colloquium

## Friday, February 22, 2008

###
seminars during Feb 25-29

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)

Tony

Convener

SCC

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

encouraged to attend

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

Abstract:

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.

We have five talks during the week Feb 25-29

1.

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

Abstract:

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.

2.

Seminar talk:

---------------

Speaker: A. Joseph Kennedy

Title: Partition Algebras

Date: February 28, 2008 (Thursday)

Time: Time 3 to 4 pm

venue: room no 105

Abstract:

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.

3.

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.

4&5.

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

Thanks

Tony J. Puthenpurakal

Convener

SCC

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