1.

Colloquium talk:

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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:

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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

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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

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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