Departmental Seminars:

 

You can have a look at the upcoming seminar talks as well as at the talks that we have organized over the years, under the name IITG Mathematics Seminar Series.

 

IITG Mathematics Seminar Series came into being on 6th March 1996 with the inaugural lecture fittingly delivered by Prof Jyotiprasad Medhi, definitely the best mathematician in northeast India and a person respected all over the globe by Mathematics community.

 

To mark the completion of 100 talks of IITG Mathematics Seminar Series, Mathematics Day was celebrated with a full day programme on 21st August 2004, which also coincides with the birthday of the famous mathematician Augustin Louis Cauchy. Prof. Pradip Niyogi (Retd. Professor, IIT Kharagpur) and Prof. Kalyan B. Sinha (Director, ISI, Kolkata) delivered the 99th and 100th talks respectively.

 

Special lectures 125 and 126 by two eminent mathematicians were arranged to mark the completion of ten years of IITG Mathematics Seminar Series on 8h March, 2006. Professor C.S. Seshadri of Chennai Mathematical Institute, Chennai and Professor Swadhin Pattanayak, Institute of Mathematics and Applications, Bhubaneswar delivered those lectures.

 

Current Convener:  Natesan Srinivasan

Past Conveners: Meenaxi Bhattacharjee, Swaroop Nandan Bora, Durga Charan Dalal, Arindam Sengupta, Bhaba Kumar Sarma

 

Regular timing for the seminar: 4 PM, Thursday.

Venue: Gallery I I, Academic Complex, IIT Guwahati.

 

Upcoming Talks:

 

Lecture 159 (November 6, 2007, 330PM) From Classical Arithmetic to Information Science: Some Applications of Abstract Research

By Prof. Michel Waldschmidt, Institut de Mathématiques de Jussieu, France.

(Abstract: Theoretical research in number theory has a long tradition, in particular in India and in France. Since many centuries, the main goal of these investigations is a better understanding of the abstract theory. Numbers are basic not only for mathematics, but more generally for all sciences; a deeper knowledge of their properties is fundamental for further progress. Remarkable achievements have been obtained, especially recently, as many conjectures have been settled. Yet, a

number of old questions still remain open.

 

Among the unexpected features of recent developments in technology are the connections between classical arithmetic on the one hand, and new methods for reaching a better security of data transmission on the other. We will illustrate this aspect of the subject by showing how modern cryptography is related to our knowledge of some properties of natural numbers. As an example, we explain how prime numbers play a key role in the process which enables you to withdraw safely your money from your bank account using an ATM with your PIN (Personal Identification Number) secret code.)

 

Lectures 158(October 29, 2007, 330PM) Cooling of Fans in Turbines of Jet Engines

By Prof. RMM, Centre for Scientific Computing, Technical University, Eindhoven, The Netherlands.

(Abstract: Jet engines have a number of rotators. In particular at the hot end the material may wear due to the interaction with the hot gasses. Basically there are three ways of preventing (or rather slowing down this process)., surface coating, internal cooling and film cooling. In this talk we show how the cooling holes are being made (by electro-chemistry or laser drilling) and how the shape of the cooling holes is impacting this cooling. Numerical modelling and high performance computing are essential in this.)

 

Lectures 156 and 157 (October 11 and October 25, 2007)

By Dr. Ritumoni Sarma, Department of Mathematics, Indian Institute of Technology Guwahati.

(Abstract:: The abstract theory of "Lie algebras" is seemingly analogous to the theory of "rings".  We will start from the definition of a Lie algebra. After introducing the basic definitions and fixing notation we will discuss some important results on finite dimensional  nilpotent and solvable Lie algebras. Also we will see representations of sl(2,F) (traceless 2 × 2-matrices with coefficients from a field F). Finally, we will discuss Cartan-decomposition of a semi-simple Lie algebra.

We will try to make these talks accessible to the one who has gone through a course on algebras (groups or/and rings). We don't assume any earlier

exposure to "Lie algebras".)

 

Talks held earlier this year

 

Lectures 155 (September 13, 2007) Structured Perturbation Analysis of Eigenvalue Problems

By Dr. Shreemayee Bora, Department of Mathematics, Indian Institute of Technology Guwahati

(Abstract: Eigenvalue problems arising from various applications often involve matrices that have structures like Hermitian, Skew-Hermitian, symmetry, skew-symmetry or symplectic to name a few. This often  results in symmetries in the distribution of the eigenvalues and it has been observed that algorithms for computing such eigenvalues need to preserve the structure of the problem in order to preserve symmetry in the computed solutions and thus get physically relevant answers. This naturally gives rise to an analysis of the effect of perturbing structured eigenvalue problems in a way that preserves their structures.
 
This talk aims to highlight some very interesting and new results in this fast developing area of research that has received a lot of attention in recent times.)

 

Lectures 153 and 154 (August 30 and September 6, 2007) Ergodic Theory (On flows)

By Dr. Shrihari Sridharan, Department of Mathematics, Indian Institute of Technology Guwahati

(Abstract: In this two-part expository lecture, we shall study the independent ergodic theorem due to Birkhoff and mixing properties of various maps. In the first lecture, we shall revise some elementary mappings and their indecomposable properties. In the second lecture, we shall apply these ideas to geodesic flows on manifolds and some more associated flows. The lectures will be delivered in a fashion to appreciate the historic developments of the subject.)

 

Lecture 152  (May 16, 2007)  Parallel Computational Techniques for Solving Singular Perturbation Boundary Value Problems
By Dr. Rajesh K. Bawa, Department of Computer Science, Punjabi University, Patiala.

 

Lecture 151  (March 29, 2007)  Stokesian Dynamics Simulation for Two Phase Flow

By Dr. Anugrah Singh, Department of Chemical Engineering, IIT Guwahati

(Abstract:
The study of bounded and unbounded flows in the Stokes-flow regime (also
known as microhydrodynamics) finds general application in diverse areas
such as biological fluid mechanics, suspension rheology, colloids,
aerosols and polymers.  The development of numerical technique for such
problems encounters difficulty due to the nature of many body hydrodynamic
interactions, long-range nature of hydrodynamic forces and singularity at
particle contacts. In this talk we present an overview of a recent
numerical simulation technique commonly known as Stokesian Dynamics which
overcomes many of these difficulties and is more efficient for suspension
flow problems. The method of  Stokesian Dynamics in principle is similar
to molecular dynamics simulation of simple fluids except that the forces
driving the particle motion are more complex.  Modification of Stokesian
Dynamics Simulation for bounded flows will be discussed  by considering an
example of plane shear flow between two parallel walls.)

 

 

Lecture 150  (March 22, 2007) Billiards in Rational-Angled Polygons
By Dr. Jayadev Siddhanta Athreya, Department of Mathematics, Yale University, USA.

 

 

Lecture 149  (March 15, 2007) Newton-Rapshson-Simpson Method

By Dr. Durga Charan Dalal, Department of Mathematics, IIT Guwahati

 

 

Lecture 148  (March 9, 2007) Wiener-Hopf Methods in Water Wave Scattering Problems

By Professor Aloknath Chakrabarti, UGC Emeritus Fellow, Department of Mathematics, Indian Institute of Science, Bangalore.

 

Lecture 147  (February 22, 2007) Holonomy Decomposition

By Dr. K.V. Krishna, Department of Mathematics, IIT Guwahati.

 

(Abstract: Krohn-Rhodes decomposition theorem is a celebrated and

fundamental theorem of automata which is a primary decomposition theorem.

Eilenberg's holonomy decomposition theorem for transformation semigroups

is a sophisticated version of Krohn-Rhodes decomposition. In this talk,

after briefing these theorems, the speaker presents the holonomy

decomposition for a class of near-semirings. This work is motivated by the

role of near-semirings in automata.)

 

Lecture 146  (February 15, 2007) Multigrid Methods and Parallel Computations

By Professor Murli M Gupta, Department of Mathematics, The George Washington University, Washington D.C., USA.

 

Lecture 145 (February 12, 2007, 1200 noon, Gallery I) Two Decades of HOC (Higher Order Compact) Schemes for Partial Differential Equations of Mathematical Physics

By Professor Murli M Gupta, Department of Mathematics, The George Washington University, Washington D.C., USA.

 

Lecture 144  (February 8, 2007) Water Wave Scattering by a Sea-bed with Small Undulations

By Dr. Swaroop Nandan Bora, Department of Mathematics, IIT Guwahati.

 

The following talks took place last year.

 

Lecture 143  (22nd December) The Role of Matrix Computation in Problems Arising in Applied Mathematics

By Professor Ram N. Mohapatra, Department of Mathematics, University of Central Florida, Orlando, USA

 

Lecture 142 (26th October) Polynomial Representation for Non-Compact Knots

By Dr. Madeti Prabhakar, Department of Mathematics, IIT Guwahati.

 

(Abstract: Knot theory has been extremely beneficial through the ages to our

actual existence and progress. Knot theory is relatively a young subject in

the world of mathematics and is a well rooted branch of Low-Dimensional

Topology. Representing an open knot type by using polynomials is introduced

by Shastri. Notion of degree sequence and minimal degree sequence has been

introduced to understand the knot type of the polynomial knots. After

discussing these concepts, I will show polynomial representations for all

non-compact knots up to 8-crossings.)

 

Lecture 141 (19th October)  Dynamical approach to studying Diophantine problems

By Professor S. G. Dani, School of Mathematics, Tata Institute of Fundamental Research, Mumbai.

 

Lecture 140  (12th October) Iwasawa theory of elliptic curves

By Dr. Anupam Saikia, Department of Mathematics, IIT Guwahati.

(Abstract:

Iwasawa theory is a powerful tool in the study of the arithmetic of elliptic

curves, abelian varieties and cyclotomic fields. In this talk, I will begin

by introducing the main concepts involved in the Iwasawa theory of elliptic

curves. Starting with number fields, Galois groups, and the Iwasawa algebra

of an infinite Galois extension, we will move onto elliptic curves, their

Mordell-Weil groups, and Selmer groups. Finally I will mention my own work

about the structure of Selmer groups of elliptic curves. I intend to make

most part of the talk accessible to people who are not already familiar with

the subject matter.)

 

Lecture 139 (9th October) Some Bounds on Domination Number of a Graph

By Professor H. B. Walikar, Department of Mathematics, Karnataka University, Dharwad.

 

Lecture 138 (14th September) Ecological Restoration of a Large River in the USA with High Sedimentation Rate

By Dr. N.G. Bhowmik, Principal Scientist Emeritus , Watershed Science Section, Illinois State Water Survey, Champaign, USA.

 

Lecture 137 (10th August) Checkpointing using Mobile Agents in Distributed Systems

By Mr. Partha Sarathi Mandal, Indian Statistical Institute, Kolkata.

 

(Abstract: Traditional message passing based checkpointing and rollback recovery

algorithms perform well for tightly coupled systems. In wide area

distributed systems these algorithms may suffer from large overhead due to

message passing delay and network traffic. Mobile agents offer an attractive

option for designing checkpointing schemes for wide area distributed

systems. Network topology is assumed to be arbitrary. Processes are mobile

agent enabled. When a process wants to take a checkpoint, it just creates

one mobile agent. Concurrent initiations by multiple processes are allowed.

Synchronization and creation of a consistent global state (CGS) for

checkpointing is managed by the mobile agent(s). In the worst case, for $k$

concurrent initiations among $n$ processes, checkpointing algorithm requires

a total of $O(kn)$ hops by all the mobile agents. A mobile agent carries

$O(n/k)$ (on the average) size data.)

 

Lecture 136 (7th August) Near-Semirings and their Roots in Computer Science

By Dr. K.V. Krishna, Stat-Math Unit, Indian Statistical Institute Delhi, New Delhi.

 

(Abstract: This is an expository talk on the development of the theory of

near-semirings. After stating the Artificial Intelligence-Planning problems,

this talk addresses how the concept of near-semiring generates via an

automaton representation of planning problems. Further, an application of

the theory of near-semirings in a special class of such automata, viz.

generalized linear sequential machines, would be discussed. If time permits,

a structure theorem for a class of near-semirings can be sketched using the

theory of automata.)

 

 Lecture 135  (July 13) On Automatic Pattern Recognition and MACH Filter

By Professor Ram N. Mohapatra, Department of Mathematics, University of Central Florida, Orlando, USA

 

Lecture 134 (30th May) Computation of the Nonlinear Free Surface Term due to Second Order Diffraction by a Pair of Cylinders

By Dr. D. D. Bhatta, Department of Mathematics, University of Texas-Pan American, Edinburgh, Texas, USA.

 

Lecture 133 (26th May) Spectral factorizations: Why and How?

By Dr. Harish Pillai, Department of Electrical Engineering, IIT Bombay, Mumbai.

 

Lecture 132 (27th April, 10 AM) Far field boundary conditions and its numerical approximation.

By Professor A. S. Vasudeva Murthy, TIFR Centre, Indian Institute of Science, Bangalore

 

Lecture 131 (18th April) Some Problems of Graph Labeling

By Dr. Parag Kr. Deb, Cotton College, Guwahati

 

Lecture 130 (4th April) Optimization Problems in Railway Operations Management

By Professor Narayan Rangaraj, Dept of Mechanical Engg., IIT Guwahati.

 

Lecture 129 (31st  March) Mathematical Modeling of Atmospheric Processes

By Dr. T.C. Panda, Berhampore University, Orissa.

 

Lecture 128 (28th  March) Recovery of Signals from Non-uniform Samples

By Professor P.C. Das, Institute of Mathematics and Applications, Bhubaneswar

 

Lecture 127 (9th  March) Stochastic Stress-Release Models for Earthquakes

By Dr. Arindam Sengupta, Department of Statistics, University of Calcutta, Kolkata.

 

These special lectures 125 and 126 by two eminent mathematicians were arranged to mark the completion of ten years of IITG Mathematics Seminar Series.

 

Lecture 126  (8th March) Invariant Theory

By Professor C.S. Seshadri, Chennai Mathematical Institute, Chennai.

 

Lecture 125  (8th March) Toeplitz Operator

By Professor Swadhin Pattanayak, Institute of Mathematics and Applications, Bhubaneswar.

 

Lecture 124 (21st February) Existence of Trapped Waves Involving Two Layers of Different Fluids

By Professor Aloknath Chakrabarti, Department of Mathematics, Indian Institute of Science, Bangalore.

 

Lecture 123 (20th February) Random Continued Fractions

By Professor Aloke Goswami, Stat-Math Division, Indian Statistical Institute, Kolkata.

 

 

Please follow the link below to know about all the lectures that have taken place.

 

2005  2004   2003       2002      2001     2000    1999     1998    1997    1996