Fields Medals awarded
prostoalex writes "Every four years the Fields Medals are awarded to top mathematicians for outstanding research. This year's winners, as this San Francisco Chronicle article reports are Vladimir Voevodsky from Institute for Advanced Study and Laurent Lafforgue from Institut des Hautes Etudes Scientifiques. 'True to form, Lafforgue and Voevodsky's mathematical research has no known practical applications', notes SF Chronicle."
the "error-correcting-guy" has his homepage here, his papers are here. Really interesting stuff. But what can you expect from a guy whose hairstyle has similarities to Einstein's :)
fields 2002
-Kevin
Yeah, that's what G. H. Hardy said about number theory back in 1940 (in A Mathematician's Apology). :)
-jfedor
As a (former) mathematician, I sometimes wish people wouldn't try to explain mathematical things in laymans terms:
"His study is related to topology, the mathematical science of shapes. Among other things, topologists study how one shape can be changed into another shape -- say, a doughnut into a coffee cup -- without removing the one feature they have in common -- the hole in the doughnut and the hole in the cup's handle"
First, this sounds soo cheesy, and second, this is _not_ what topology is about (the "how" doesn't normally matter, the question is "if").
I can see people imagining mathematicians sitting in the offices with a big pile of knead and trying to form proper coffee cup handles out of doughnuts.
Here is an expository article from the Journal of the AMS about the Langlands program. Results of Lafforgue are used to prove some very nice theorems.
Here is a link to an article by Lafforgue in Inventiones Mathematicae, one of the world's most prestigious mathematics Journals. Malheursement, cet article est en français.
Here is the Mathematical Reviews citation for the Lafforgue paper. You can browse the articles cited by him.
Also, if anyone is interested, here is a paper by Voevodsky about some of his work in motivic cohomology.