Year 2003: Lecture no 79 to Lecture no 87 (9 Lectures)
Lecture 87 (6th November): Water Wave Scattering by Surface Discontinuities
By Prof B N Mandal, Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata.
(ABSTRACT: Problems of water wave scattering
by discontinuities in the surface boundary conditions are considered within the
framework of linearised theory of water waves. While the solution of the single
discontinuity problem can be obtained explicitly, solution of the problem
involving two surface discontinuities can be handled for approximate solution
in the sense that the transmission and reflection coefficients can be obtained
approximately. The mathematical methods involved to tackle these problems are
Wiener-Hopf technique and solution of Carlemann type singular integral
equation. The two discontinuities problem can be reduced to a three-part
Wiener-Hopf problem whose solution can be obtained approximately. This problem
(in fact a more general one) can also be reduced to a pair of coupled Carlemann
type singular integral equations, which are solved approximately assuming the
two discontinuities to be widely separated. Numerical results for the
reflection coefficient obtained by both the two methods are seen to coincide.
This class of problems arises in ice-covered oceans.)
Lecture 86 (1st October): Paper Folding and Topology of Surfaces (Popular Talk)
By Prof A R Shastri, Department
of Mathematics, IIT Bombay, Mumbai
(ABSTRACT: This is going to be a popular lecture, devoid of any technicalities. The speaker begins with a few paper models that we as children have been playing with to study some of the topological aspects of Riemann surfaces. In particular, the speaker will present paper models of Torus: a torus made up of a single sheet of paper.)
Lecture 85 (16th July): Optimal Control: Application to Manufacturing Systems.
By Mr. Siddhartha P Chakrabarty, Graduate Student, Department of Mathematics, Statistics and Computer Science, University of Illinois, Chicago, USA.
(ABSTRACT: This talk will look at
an optimal control problem with nonlinear dynamics, quadratic costs with
Gaussian and Poisson noises. This provides for a comprehensive model for many
applications. The problem will be examined and illustrated with an application
to a multi-stage manufacturing system (MMS) in an uncertain environment.)
Lecture 84 (8th July): Bioinformatics- A Mathematical & Computer Science Perspective.
By Prof S. Padhy, Department of Mathematics, Utkal
University, Bhubaneswar, Orissa.
(ABSTRACT: Bioinformatics is a rapidly growing field of study, which includes, among other things, analysis and interpretation of genomic and structural data in biological system using techniques from mathematics & computer science. The information so generated is used to develop new methods and technologies for understanding human diseases, for improving health care, for designing drugs etc. After a quick review of concepts of molecular biology and formulation of biological problems such as genetic disorder, sequencing some of the algorithms and techniques that have been developed to solve problems related to one of the topics: Multiple sequence alignment & fragment assembly,/Genome rearrangements will be presented.)
Lecture 83 (27th June): The Dosa Problem.
By Prof. S. Kumaresan, Department of Mathematics, University of Mumbai, Mumbai.
Lecture 82 (25th June): Some Consequences of Baire Category Theorem.
By Prof Asit Baran Raha, Stat-Math Unit, Indian Statistical Institute, Kolkata.
Lecture 81 (19th June): On Cantor’s Theorem.
By Dr. Arindama Singh, Department of Mathematics, Indian Institute of Technology Madras, Chennai.
Lecture 80 (13th June): The Number of Reachable Pairs in a Digraph.
By Prof A.R. Rao, Stat-Math Unit, Indian Statistical Institute, Kolkata.
Lecture 79 (2nd April): Mathematics—In Ancient and Medieval India.
By Prof Iswar Chandra Chakravartty, Professor Emeritus, Trent University, Peterborough, Ontario, Canada.