Wolfgang Soergel
Wolfgang Soergel (born 12 June 1962 in Geneva) is a German mathematician, specializing in geometry and representation theory.
Wolfgang Soergel (born 12 June 1962 in Geneva) is a German mathematician, specializing in geometry and representation theory.
Wolfgang Soergel is the son of the physicist Volker Soergel and a grandson of the paleontologist Johannes Wolfgang Adolf Werner Soergel (1887–1946).[ citation needed ]
Soergel received his Promotion (PhD) in 1988 from the University of Hamburg. His PhD dissertation Universelle versus relative Einhüllende: Eine geometrische Untersuchung von Quotienten von universellen Einhüllenden halbeinfacher Lie-Algebren (Universal versus relative envelopes: a geometric investigation of quotients of universal envelopes of semi-simple Lie algebras) was supervised by Jens Carsten Jantzen. [1]
After postdoctoral positions at UC Berkeley, Harvard University, and MIT, Soergel completed his Habilitation at the University of Bonn in 1991. In 1994 he was appointed to a professorial chair at the University of Freiburg. He was an invited speaker at the 1994 International Congress of Mathematicians in Zurich. Since 2008 he has been a full member of the Heidelberg Academy of Sciences and Humanities. [2]
He is the author or coauthor of over 30 research articles. [3] His research in representation theory has important applications to Kazhdan-Lusztig theory and Koszul duality. The category of Soergel bimodules is named in his honor. [4] [5]
His doctoral students include Peter Fiebig, Catharina Stroppel and Geordie Williamson. [1]
Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
In abstract algebra, a Koszul algebra is a graded -algebra over which the ground field has a linear minimal graded free resolution, i.e., there exists an exact sequence:
In the mathematical field of representation theory, a Kazhdan–Lusztig polynomial is a member of a family of integral polynomials introduced by David Kazhdan and George Lusztig. They are indexed by pairs of elements y, w of a Coxeter group W, which can in particular be the Weyl group of a Lie group.
Alexander A. Beilinson is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. In 1999, Beilinson was awarded the Ostrowski Prize with Helmut Hofer. In 2017, he was elected to the National Academy of Sciences. In 2018, he received the Wolf Prize in Mathematics and in 2020 the Shaw Prize in Mathematics.
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Jens Carsten Jantzen is a German mathematician and professor emeritus at Aarhus University working on representation theory and algebraic groups. He introduced the Jantzen filtration and translation functors.
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In mathematics, Koszul duality, named after the French mathematician Jean-Louis Koszul, is any of various kinds of dualities found in representation theory of Lie algebras, abstract algebras and topology. The prototype example is the BGG correspondence, due to Joseph Bernstein, Israel Gelfand, and Sergei Gelfand,. It is a duality between the derived category of a symmetric algebra and that of an exterior algebra. The importance of the notion rests on the suspicion that Koszul duality seems quite ubiquitous in nature.
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Kari Kaleva Vilonen is a Finnish mathematician, specializing in geometric representation theory. He is currently a professor at the University of Melbourne.
Geordie Williamson is an Australian mathematician at the University of Sydney. He became the youngest living Fellow of the Royal Society when he was elected in 2018 at the age of 36.
Charles Waldo Rezk is an American mathematician, specializing in algebraic topology and category theory.
Ivan Vadzimavich Loseu is a Belarusian-American mathematician, specializing in representation theory, symplectic geometry, algebraic geometry, and combinatorial algebra.
Sergei Vasilyevich Kerov was a Russian mathematician and university professor. His research included operator algebras, combinatorics, probability and representation theory.
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