Wolfgang Soergel

{{Short description|German mathematician}}

File:Wolfgang Soergel.jpg

Wolfgang Soergel (born 12 June 1962 in Geneva) is a German mathematician, specializing in geometry and representation theory.

Early life and education

Wolfgang Soergel is the son of the physicist {{ill|Volker Soergel|de}} and a grandson of the paleontologist {{ill|Johannes Wolfgang Adolf Werner Soergel|de|Wolfgang Soergel (Paläontologe)}} (1887–1946).{{cn|date=May 2024}}

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.{{MathGenealogyProject|id=45999}}

Career

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.Gabriele Dörflinger: [http://www.ub.uni-heidelberg.de/archiv/16931 Mathematik in der Heidelberger Akademie der Wissenschaften]. 2014, p. 76

He is the author or coauthor of over 30 research articles.{{cite web|url=http://home.mathematik.uni-freiburg.de/soergel/|title=Prof. Dr. Wolfgang Soergel|website=Mathematisches Institut, Albert-Ludwigs-Universität Freiburg}} (with online access to preprints) 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.{{cite journal|last1=Elias|first1=Ben|title=Thicker Soergel calculus in type A|journal=Proceedings of the London Mathematical Society|volume=112|issue=5|year=2016|pages=924–978|issn=0024-6115|doi=10.1112/plms/pdw012|arxiv=1009.2120|s2cid=119727605}}{{cite arXiv|author=Abe, Noriyuki|title=On Soergel bimodules|year=2019|class=math.RT|eprint=1901.02336}}

His doctoral students include Peter Fiebig, Catharina Stroppel and Geordie Williamson.

Selected publications

  • Langlands’ Philosophy and Koszul Duality. In: I. Klaus W. Roggenkamp, Mirela Ștefănescu (ed.): Algebra – representation theory. (Proceedings of the NATO Advanced Study Institute on Algebra – Representation Theory, Constanta, Romania, 2–12 August 2000) (= NATO Science Series. Series 2: Mathematics, Physics and Chemistry. 28). Kluwer Academic, Dordrecht u. a. 2001, ISBN 0-7923-7113-5, pp. 379–414.
  • with Alexander Beilinson, Victor Ginzburg: Koszul duality patterns in representation theory. In: Journal of the American Mathematical Society. vol. 9, no. 2, 1996, pp. 473–527, {{doi|10.1090/S0894-0347-96-00192-0}}.
  • Gradings on Representation Categories. In: Srishti D. Chatterji (ed.): Proceedings of the International Congress of Mathematicians. August 3–11, 1994, Zürich, Switzerland. vol. 2. Basel etc., Birkhäuser 1995, ISBN 3-7643-5153-5, pp. 800–806.
  • with Henning H. Andersen, Jens C. Jantzen: Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p: independence of p (= Astérisque. 220, {{ISSN|0303-1179}}). Société Mathématique de France, Paris 1994.
  • Kategorie 𝓞, perverse Garben, und Moduln über den Koinvarianten zur Weylgruppe. In: Journal of the American Mathematical Society. vol. 3, no. 2, 1990, pp. 421–445, {{doi|10.1090/S0894-0347-1990-1029692-5}}.

References