The interaction between geometry and physics

Abstract

The theme of this conference is “The Unity of Mathematics,” embodying the attitude of Gel’fand himself as demonstrated in the wide range of his many original works. I share this outlook and am happy to describe one of the most fascinating examples, representing the unity of mathematics and physics. The speakers were also encouraged to look to the future and not be afraid to speculate—again, characteristics of Gel’fand. In my case, this is perhaps an unnecessary and even dangerous injunction, since my friends feel that I am already too much inclined to wild speculation, and very rash enthusiasm should be dampened down instead of being whipped up. Nevertheless, I will indulge myself and try to peer into the future, offering many hostages to fortune.