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.
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".)
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