Departmental Seminars:

 

The following talks took place in 2006:

 

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