National Seminar on Recent Trends in Topology

Topology is an area of Mathematics concerned with the properties of space that are preserved under continuous deformations including stretching and bending, but not tearing.
By the middle of the 20th century, topology had become a major branch of mathematics.
Topology as a branch of Mathematics can be formally defined as the study of qualitative properties of certain objects that are invariant under a certain kind of transformation especially those properties that are invariant under a certain kind of equivalence and it is the study of those properties of geometric configurations which remain invariant when these configurations are subjected to one-to-one bicontinuous transformations or homeomorphisms. Topology operates with more general concepts than analysis.Differential properties of a given transformation are nonessential for topology but bicontinuity is essential. As a consequence, topology is often suitable for the solution of problems to which analysis cannot give the answer.
Topology is used in several areas such as quantum field theory, image processing, molecular biology and cosmology and can also be used to describe the overall shape of the universe. The various possible positions of a robot can be described by a manifold called configuration space. In the area of motion planning, one finds paths between two points in configuration space.
The overall objective of this seminar is to provide a forum to discuss and promote the research in topology.

COURSE TOPICS
Introduction to Topology
Topology and its Applications
Geometric Topology
Computational Topology
Differential Topology
Topology Theory on Rough Sets
Digital Topology & its Applications

1. Dr. S. Somasundaram,Professor and Head,
Department of Mathematics,
Manonmaniam Sundaranar University,
Tirunelveli.

2.Sunil Jacob John, NIT, Calicut
3.Dr.G.Sai Sundara Krishnan, PSG College of Technology

Last date for receipt of Applications : 10.02.2015
Intimation of Selection : 12.02.2015
Confirmation by participants : 14.02.2015

Demand Draft for Rs.200/ - drawn in favour of “Kongu Engineering College Grants” payable at Perundurai /Erode.

The college is located at Perundurai on the National
Highway (NH 47) about 80 km from Coimbatore and 20 km from Erode. It is well connected by road & rail.

Boarding and lodging will be provided to the
selected candidates in the college campus. Accommodation will
be provided in the college hostel to the participants only on
chargeable basis. Participants are required to make their own arrangements for those accompanying them, if any.