Mast Kalandar

bandar's colander of random jamun aur aam

Sat, 07 Feb 2015

Serre's Problem and Indian Mathematicians

Tags: , , , [link] [comments (0)] [raw]

Of late, I have been trying to fill up a gap in my education and learn how it is proved that vector bundles on affine n-space are trivial. More generally, it has been shown that if X is a smooth affine variety then a vector bundle on X × L, where L is an affine line, is pulled back from X.

A standard resource for this material is T. Y. Lam's book on ``Serre's Problem on Projective Modules''. While reading this book, I realised that this is a topic on which Indian Mathematicians, mostly working within India, have made many significant contributions. (The fact that Serre's problem was actually settled by Quillen and Suslin, who are not Indian is only marginally important!) In particular, one can note that no less than 30 Mathematicians of this kind are referred to in Lam's book.

I was at the School of Mathematics, TIFR during the period when mathematicians there were in the thick of this activity. In hindsight, it is clear that I missed a golden opportunity to learn about it and appreciate it then! Still, better late than never ...

In this context, it is odd that some people think that we need to go back thousands of years to find significant contributions to Mathematics from India. All of the work mentioned above started only about 50 years ago and continues till today. Moreover, the problem (which is related to that of solving linear equations) is centuries old.

Thu, 20 Oct 2011

Popular Mathematics?

Tue, 21 Sep 2010

Ekalavyas are mathematical possibilities
Can Mathematics be taught?

Tue, 21 Oct 2008

Going for a spin

Wed, 18 Jun 2008

A flipping trick

Wed, 14 May 2008

Understanding Large Numbers

Fri, 07 Mar 2008

Schlafly double-six movie

Fri, 29 Feb 2008

What is Langlands' programme?

Tue, 01 Jan 2008

Trying some encouragement

Sun, 16 Dec 2007

The Calculus Trap

Sat, 03 Nov 2007

IISER course structure proposal

Thu, 01 Nov 2007

Some notes regarding the IITB syllabus

Fri, 12 Oct 2007

The Mathematics of the "Kerala School"

Fri, 28 Sep 2007

Defending Mathematical Research

Sat, 21 Oct 2006

A response to a questionnaire

Tue, 15 Aug 2006

IISER Mathematics Courses for 2006

Tue, 11 Jul 2006

The Indian-ness of Zero

Fri, 30 Jun 2006

Strebel differentials and special points on M(g,n)

Wed, 10 May 2006

Mathematics from the pure to the practical

Wed, 26 Oct 2005

Discussion on IISER's

Tue, 04 Oct 2005

In response to a press reporter

Mon, 12 Aug 2002

Djkstra passes away

Sat, 17 Feb 2001

A graduate course on cryptology

Sat, 15 Jul 2000

Question of Riemann


< February 2015
1 2 3 4 5 6 7
8 91011121314

2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1997, 1995,