Summer Workshop in Mathematics (27 July - 1 August 2009) @ IISER, Pune

Summer Workshop in Mathematics (27 July - 1 August 2009)

IISER, Pune

Aim
The aim of the workshop is to motivate students to take up Mathematics for research. We have invited eminent mathematicians of our country to speak in this workshop. We also want to create awareness about Mathematics education, in general. Thus, keeping this in mind we have requested each mathematician to be available in the afternoon to interact with audience.

Organisation

Executive Organising Committee
Prof. R. Sujatha (TIFR, Mumbai)
Prof. L. Shashidhara (IISER, Pune)
Prof. R. Ramachandran (IISER, Pune)
Local Organising Committee :
Dr. Anupam Kumar Singh (IISER, Pune)
Dr. Rama Mishra (IISER, Pune)

Speakers :
Prof. Ramanan (CMI, Chennai) : Topology and Geometry
Prof. R. Sujatha (TIFR, Mumbai) : The Mysteries of the prime numbers
Prof. C. S. Dalawat (HRI, Allahabad) : Number Theory
Prof. Raja Sridharan (TIFR, Mumbai) : Algebra
Prof. R. Sridharan (CMI, Chennai) : Algebra
Prof. Siddhartha Bhattacharya (TIFR, Mumbai) : Maths and Google
Prof. Dinesh Thakur (University of Arizona) : Number Theory
Prof. S. A. Katre (University of Pune) : The Mobius Function
Prof. Siddhartha Gadgil (IISc, Bangalore) : One cannot hear the shape of a drum
Prof. P.N.Srikanth (TIFR center Bangalore)
Dr. Anupam Kumar Singh (IISER, Pune) : Algebra
Dr. Aniruddha Naolekar (IISER, Pune) : Algebraic Topology
Dr. Anita Naolekar (IISER, Pune) : Algebraic Topology
Dr. Ayan Mahalanobis (IISER, Pune) : Cryptography/Group theory
Dr. Rama Mishra (IISER, Pune) : Low dimensional Topology/knot theory
*Dr. Soumen Maity (IISER, Pune) : Discrete Mathematics/Combinatorics
Suhas Pandit (IISER, Pune) : Geometric Group theory
Dr. Pranay Goel (IISER, Pune) : Maths-Biology
* - yet to confirm See the abstract and title of some of the talks below in the section titled "Abstract of the Talks".

Prerequisite
We have requested all our speakers to keep the lectures elementary and target interdisciplinary audience. Hence, as such, there is no prerequisite for this workshop except enthusiasm and readiness.

Schedule
There will be usually two lectures (one hour each) in the morning and discussion sessions (compulsory to participate) in the afternoon. Complete schedule along with topic of the lectures will be announced later.

Participation
This workshop is mainly for students at IISER. We can accommodate about 10-15 students/teachers from Pune as well. Interested people (including IISER, students) who want to attend this workshop please send an email to Dr. Anupam Kumar Singh (email: anupamATiiserpuneDOTacDOTin) expressing their interest. No help, such as, TA/DA, transport, accommodation etc. is provided for the participation.

Titles and Abstract of the Talks :

"One can not hear the shape of a drum" by Professor Siddhartha Gadgil The notes produced by a drum depend on its shape and size. The isospectral problem asks whether two drums of different shapes can produce the same set of notes. In this talk, we present a simple example of such a pairs of drums (due to Buser, Conway, Doyle and Semmler). We also discuss some related mathematics, in particular the so called reflection principle.

"p-adic numbers" by Prof. C. S. Dalawat Around a hundred years ago, a new number system was discovered. it is called the system of p-adic numbers, and there is one such system for every prime number p. We will give an elementary introduction to these numbers and show what they good for.

"The Mobius Function" by Prof. S.A. Katre

"The Mysteries of the prime numbers" by Prof. R. Sujatha

"Pells Equation" by Prof. Raja Sridharan We will consider the Equation of Pell from a historical context and outline the historical contributions of the Indian Mathematicians to this topic and relate it to more recent Developments like the Units of Quadratic Fields, Pfister forms etc.

"Enumeration of some combinatorial patterns in Ancient India" by Prof. R. Sridharan

For any further Information visit the Website : http://www.iiserpune.ac.in/

Also this workshop has very little opening for candidates from outside IISER, so rush in for participation

Indi Proff
http://indiproff.blogpsot.com/
http://junctiont.blogspot.com/