International Workshop on Computational Algebraic Geometry

(Supported by Dept. of Science and Technology, Govt. of India) 
to be jointly organized by
Bhaskaracharya Pratishthana, Pune
&
Harish-Chandra Research Institute, Allahabad

Dates: December 8-13, 2003 
Venue: Harish-Chandra Research Institute, Allahabad.

Applications in the prescribed format are invited from research students and University/ College teachers with background in Commutative Algebra, not later than 20th October, 2003. 
The applications should be sent to 

The organizer, CAG Workshop,
C/o, Bhaskaracharya Pratishthana,
56/14, Erandavane, Damle Path,
off Law College Road, Pune-411 004.


Advance copy of the application may be sent by e-mail to bhaskara_p at vsnl.com

• Selected Indian participants are required to pay a registration fee of Rs. 500/-.
• The lodging and boarding facilities will be provided to all the participants.
• Selected Indian participants will be given to and fro 2nd sleeper train expenses.

Any queries  regarding  the workshop may  be addressed to S. A. KATRE at 
sakatre at math.unipune.ernet.in  or  bhaskara_p at vsnl.com 

The participants are expected to familiarise themselves with the concept of Gröbner bases. 

See the notes of W. Decker from the web page of Prof. J. K. Verma http://www.math.iitb.ac.in/~jkv/acag In the same webpage there are notes by B. Adsul, Jayanthan and Clare D'Cruz on Macaulay 2.

For basic polytope theory we recommend :

1. Günter Ziegler, Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer- Verlag New York 1995, 370 pages; Revised edition 1998. (It would be enough to look through Chapters 0, 1 and 2)
2. M. Henk, J. Richter-Gerbert and G. Ziegler, Basic properties of convex polytopes, in J.E. Goodman and J. O'Rourke editors, CRC Handbook on Discrete and Computational Geometry, Chapter 13, pages 243-270, CRC Press, Boca Raton, FL 1997.

This article can also be downloaded from 
http://www.math.tu-berlin.de/~ziegler/ Along with the above workshop an International Conference on Commutative Algebra and Combinatorics is also being organised at H.R.I. Allahabad, jointly by Bhaskaracharya Pratishthana and HRI during 8-13 Dec., 2003. For more information about this conference and also about the CAG workshop visit http://education.vsnl.com/bp/ or www.bprim.org. 

General Information 
The goal of this workshop is to bring together researchers and students in combinatorial and computational commutative algebra/algebraic geometry from around the world with the algebraists in India, and to give a broad exposure of computational and combinatorial methods in algebra that is now an integral and active area of research in the west to the students and researchers working in India. 

The BHASKARACHARYA PRATISHTHANA has taken a leading role in advancing computational algebra in India to complement the strong tradition in algebra and algebraic geometry that India is famous for. This will be the third workshop that Bhaskaracharya Pratishthana is going to organise in this series. The first such workshop was held in Pune in December 1999 on as an Instructional Workshop on Algorithms in Invariant Theory and Algebraic Geometry as a joint activity with Dept. of Mathematics, University of Pune, Pune and the second workshop was held at HRI (as a joint activity) during 2-11 January, 2003 on Computational Aspects of Algebraic Geometry. The latter was conducted by Professors Wolfram Decker and Christoph Lossen from Germany. An information about this and previous such computational workshops organised by Prof. Decker is available on his homepage http://www.math.uni-sb.de/~ag-decker/. 

The current Workshop is motivated by the success of these past workshops and the unique opportunity that the AMS meeting in India (17-21 Dec. 2003) provides to attract international researchers to the country in December 2003. The AMS meeting will have a special session in Commutative Algebra organized by Hema Srinivasan (University of Missouri) and J. K. Verma (IIT Bombay) which will attract many international participants. As the emphasis of that meeting will be on more mainstream Commutative Algebra, this meeting is being planned as its Computational and Combinatorial complement. 

The workshop is being designed to maximize the effectiveness of its tutorial component. The program is divided into two main parts: Morning Expository Sessions and Afternoon and Night Computational Sessions. 

The speakers are expected to produce lecture notes that will be distributed to the participants. These notes will also appear in a proceedings of the workshop. The lectures are intended to teach the basics of the material in the book Gröbner Bases and Convex Polytopes by Bernd Sturmfels (AMS 1995). Each day's lecture and computer exercises will be written up as lecture notes interspersed with computer exercises and scripts in the style of the recent book Computations with Macaulay 2 (eds: Eisenbud, Grayson, Stillman and Sturmfels) Springer 2001. We hope to publish these notes as a computational companion to Sturmfels' book.