Thursday, October 12, 2017

Great mathematician

Vladimir Voevodsky, Revolutionary Mathematician, Dies at 51

Lotta heartbreak in the math community, it was sudden.

I am looking up his work, learning new stuff.  He advanced a particular interesting form of topological proof.  I will handwave it, quite generally.

If you want to integrate over a smooth surface of an object, like a donut, or sphere.  If one knows the number holes or loops in the object then  can one determine the best lines of symmetry over which to  integrate on the surface. this more of an example of how to use his theories, he is finding the algebra os shape, and all iso-deformations of shapes.

What happens if we shrink the column of a shape full of holes? We get a graph, nearly, which is interesting theoretically.  I think, finite structure and their algebras,might be what he was about.

No comments: