Loading AI tools
Russian American mathematician (born 1957) From Wikipedia, the free encyclopedia
Victor Ginzburg (born 1957) 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 (Satake equivalence of categories). He is currently a Professor of Mathematics at the University of Chicago.[1][2]
Victor Ginzburg | |
---|---|
![]() 2012 in Oberwolfach | |
Born | 1957 (age 66–67) |
Nationality | American |
Alma mater | Moscow State University |
Known for | Ginzburg dg algebra Koszul duality |
Scientific career | |
Fields | Mathematics |
Institutions | University of Chicago |
Doctoral advisor | Alexandre Kirillov Israel Gelfand |
![]() | This section of a biography of a living person does not include any references or sources. (November 2019) |
Ginzburg received his Ph.D. at Moscow State University in 1985, under the direction of Alexandre Kirillov and Israel Gelfand.
Ginzburg wrote a textbook Representation theory and complex geometry with Neil Chriss on geometric representation theory.
A paper by Alexander Beilinson, Ginzburg, and Wolfgang Soergel introduced the concept of Koszul duality (cf. Koszul algebra) and the technique of "mixed categories" to representation theory. Furthermore, Ginzburg and Mikhail Kapranov developed Koszul duality theory for operads.
In noncommutative geometry, Ginzburg defined, following earlier ideas of Maxim 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 (dg)-algebra of dimension 3 associated with any cyclic potential on the path algebra of a quiver.
Seamless Wikipedia browsing. On steroids.
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.
Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.