Victor Ginzburg
Mathematician, Academic
1957 –
Who is Victor Ginzburg?
Victor Ginzburg is a Russian American mathematician who works in representation theory and in noncommutative geometry. He is known for his contributions to geometric representation theory, especially, for his works on representations of quantum groups and Hecke algebras, and on the geometric Langlands program. The book "Representation theory and complex geometry", by Chriss and Ginzburg, is nowadays a classical text on geometric representation theory. In an influential paper by Beilinson, Ginzburg, and Soergel, the authors introduced the concept of Koszul duality and the technique of "mixed categories" to representation theory. Ginzburg and Kapranov developed Koszul duality theory for operads.
In noncommutative geometry, Ginzburg defined, following earlier ideas of Kontsevich, the notion of Calabi-Yau algebra. An important role in the theory of motivic Donaldson-Thomas invariants is played by the so-called "Ginzburg dg algebra", a Calabi-Yau-algebra of dimension 3 associated with any cyclic potential on the path algebra of a quiver.
Ginzburg received his Ph.D. at Moscow State University in 1985, under the direction of Alexandre Kirillov and Israel Gelfand. He is currently a Professor of Mathematics at the University of Chicago.
We need you!
Help us build the largest biographies collection on the web!
- Born
- 1957
Moscow - Nationality
- United States of America
- Russia
- Soviet Union
- Profession
- Education
- Moscow State University
- Employment
- University of Chicago
Submitted
on July 23, 2013
Citation
Use the citation below to add to a bibliography:
Style:MLAChicagoAPA
"Victor Ginzburg." Biographies.net. STANDS4 LLC, 2024. Web. 2 Jun 2024. <https://www.biographies.net/people/en/victor_ginzburg>.
Discuss this Victor Ginzburg biography with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In