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