N***Y
发帖数: 2407 | 1 http://www.ams.org/news?news_id=3731
Vladimir Voevodsky, an exceptional mathematician with deep insight who
received the Fields Medal in 2002 for his development of a homotopy theory
for algebraic varieties and his formulation of motivic cohomology, died
September 30 at the age of 51. His work proved the Milnor conjecture, which
for decades had been the major unsolved problem in algebraic K-theory.
Voevodsky was a professor at the Institute for Advanced Study. In 2009 he
proved the Bloch-Kato conjectures and more recently was working on homotopy
type theory and computer-assisted proof verification. Voevodsky grew up in
the Soviet Union and came to the U.S. to do graduate work at Harvard
University, receiving his PhD in 1992 under the direction of David Kazhdan.
He held positions at the Institute for Advanced Study, Harvard, the Max
Planck Institute for Mathematics, and Northwestern University, before
becoming a professor at the Institute in 2002.
AMS President Kenneth Ribet said, "I was jolted and saddened by the news of
Vladimir Voevodsky's passing. His death is a great loss to the mathematical
community."
For more about Voevodsky's work, see this 2002 article in Notices by Eric M.
Friedlander and Andrei Suslin, Background on 2002 Fields and Nevanlinna
Awardees by Allyn Jackson, "Voevodsky’s Univalence Axiom in Homotopy Type
Theory" by Steve Awodey, Álvaro Pelayo, and Michael A. Warren in
Notices (2013), and his biography at the MacTutor History of Mathematics
archive. In that biography is this passage from Voevodsky, which gives an
overview of the work for which he won the Fields Medal:
We start with geometry, the category of topological spaces. We invent
something about this geometrical world using our basically visual intuition.
The notion of pieces comes exclusively from visual intuition. We somehow
abstract it and re-write it in terms of category theory which provides this
connecting language. And then we apply in a new situation, in this case in
the situation of algebraic equations which is purely algebraic. So what we
get is some fantastic way to translate geometric intuition into results
about algebraic objects. And that is from my point of view the main fun of
doing mathematics.
A page posted by the Institute for Advanced Study will have information
about a gathering being planned to celebrate Voevodsky's life and legacy. (
Photo: Andrea Kane/Institute for Advanced Study, Princeton, NJ USA.) | f*********n
发帖数: 148 | | N***Y
发帖数: 2407 | 3 http://www.ams.org/news?news_id=3731
Vladimir Voevodsky, an exceptional mathematician with deep insight who
received the Fields Medal in 2002 for his development of a homotopy theory
for algebraic varieties and his formulation of motivic cohomology, died
September 30 at the age of 51. His work proved the Milnor conjecture, which
for decades had been the major unsolved problem in algebraic K-theory.
Voevodsky was a professor at the Institute for Advanced Study. In 2009 he
proved the Bloch-Kato conjectures and more recently was working on homotopy
type theory and computer-assisted proof verification. Voevodsky grew up in
the Soviet Union and came to the U.S. to do graduate work at Harvard
University, receiving his PhD in 1992 under the direction of David Kazhdan.
He held positions at the Institute for Advanced Study, Harvard, the Max
Planck Institute for Mathematics, and Northwestern University, before
becoming a professor at the Institute in 2002.
AMS President Kenneth Ribet said, "I was jolted and saddened by the news of
Vladimir Voevodsky's passing. His death is a great loss to the mathematical
community."
For more about Voevodsky's work, see this 2002 article in Notices by Eric M.
Friedlander and Andrei Suslin, Background on 2002 Fields and Nevanlinna
Awardees by Allyn Jackson, "Voevodsky’s Univalence Axiom in Homotopy Type
Theory" by Steve Awodey, Álvaro Pelayo, and Michael A. Warren in
Notices (2013), and his biography at the MacTutor History of Mathematics
archive. In that biography is this passage from Voevodsky, which gives an
overview of the work for which he won the Fields Medal:
We start with geometry, the category of topological spaces. We invent
something about this geometrical world using our basically visual intuition.
The notion of pieces comes exclusively from visual intuition. We somehow
abstract it and re-write it in terms of category theory which provides this
connecting language. And then we apply in a new situation, in this case in
the situation of algebraic equations which is purely algebraic. So what we
get is some fantastic way to translate geometric intuition into results
about algebraic objects. And that is from my point of view the main fun of
doing mathematics.
A page posted by the Institute for Advanced Study will have information
about a gathering being planned to celebrate Voevodsky's life and legacy. (
Photo: Andrea Kane/Institute for Advanced Study, Princeton, NJ USA.) | f*********n
发帖数: 148 | | a********i
发帖数: 1611 | 5 太费脑子了
【在 f*********n 的大作中提到】
: 搞数学的都死得早？
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