Wolfgang Lück (mathematician)

from Wikipedia, the free encyclopedia
Wolfgang Lück 2006

Wolfgang Lück (born February 19, 1957 in Herford ) is a German mathematician who deals with algebraic topology .

life and work

After graduating from the Ravensberger Gymnasium Herford in 1975, Lück studied at the Georg-August-Universität Göttingen , where he graduated in 1981 and received his doctorate with distinction from Tammo tom Dieck in 1984 . The title of the work was "A General Description for Fibers on Projective Class Groups and Whitehead Groups". From 1982 he was a research assistant and from 1985 assistant in Göttingen, where he qualified as a professor in 1989. In 1990/91 he was an Associate Professor at the University of Kentucky in Lexington. From 1991 to 1996 he was a professor at the University of Mainz , from 1996 to 2010 he taught at the University of Münster , and since October 2010 he has been working at the University of Bonn . In 2003 he received the Max Planck Research Award , in 2008 the Gottfried Wilhelm Leibniz Award and in 2015 an ERC Advanced Grant.

Lück worked on the theory of L2 invariants (such as L2 Betti numbers and L2 cohomology) of manifolds in algebraic topology, which were originally introduced by Michael Atiyah and are defined with operator algebras. They have applications in group theory and differential geometry. Here he proved, among other things, Lück's approximation theorem . With Arthur Bartels and Holger Reich he proved special cases of the Farrell-Jones conjecture.

In 2009 and 2010 Lück was President of the German Mathematicians Association , previously its Vice-President since 2006. He is a fellow of the American Mathematical Society .

In 2008 he was an invited speaker at the European Congress of Mathematicians in Amsterdam ( Topological rigidity of aspherical manifolds ) and in 2010 at the International Congress of Mathematicians in Hyderabad ( K- and L-theory of group rings ). In 2010 Lück was elected a member of the German Academy of Sciences Leopoldina - National Academy of Sciences .

2010 was Lueck spokesman for the Collaborative Research Center "Geometry, Groups & Actions". From 2011 to 2017 he was director of the Hausdorff Research Institute for Mathematics (HIM) in Bonn. In 2012 he was appointed a Fellow at the Max Planck Institute for Mathematics in Bonn by the Max Planck Society . Since October 2019 he has been the spokesman for the Hausdorff Center for Mathematics (HCM) in Bonn.

In 2013 Lück was elected to the North Rhine-Westphalian Academy of Sciences and Arts .

Thomas Schick is one of his doctoral students .

Fonts

  • Approximating -invariants by their finite-dimensional analogues. In: Geom. Funct. Anal. 4, no. 4, 1994, pp. 455-481.
  • with J. Davis: Spaces over a category and assembly maps in isomorphism conjectures in K- and L-theory. In: K-Theory. 15, no. 3, 1998, pp. 201-252.
  • Chern characters for proper equivariant homology theories and applications to K- and L-theory. In: J. Reine Angew. Math. 543, 2002, pp. 193-234.
  • with A. Bartels and H. Reich: The K-theoretic Farrell-Jones conjecture for hyperbolic groups. In: Invent. Math. 172, no. 1, 2008, pp. 29-70.
  • with A. Bartels: The Borel conjecture for hyperbolic and CAT (0) -groups. In: Ann. of Math. (2) 175, no. 2, 2012, pp. 631-689.
  • with A. Bartels, F. Th. Farrell: The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. In: J. Amer. Math. Soc. 27, no. 2, 2014, pp. 339–388.
  • with A. Bartels, H. Reich, H. Rüping: K- and L-theory of group rings over GL n ( Z ). In: Publ. Math. Inst. Hautes Études Sci. 119, 2014, pp. 97-125.
  • Transformation groups and algebraic K-theory (=  Lecture Notes in Mathematics . Volume 1408 ). Springer, 1989.
  • L 2 -Invariants: Theory and Application to Geometry and K-Theory (=  results of mathematics and its border areas ). Springer, 2002.
  • with M. Kreck : The Novikov Conjecture - Geometry and Algebra, Oberwolfach Seminars . Birkhäuser, 2004.
  • Algebraic topology: homology and manifolds . Vieweg, 2005.
  • L 2 invariants of manifolds and groups . In: Annual report DMV . tape 99 , issue 3, 1997.
  • L 2 Invariants and their application to geometry, group theory and spectral theory, in "Mathematics Unlimited - 2001 and Beyond" . Springer, 2001.
  • with F. Th. Farrell, L. Göttsche (Eds.): Topology of High dimensional manifolds, ICTP Lecture Notes . 2002.

Web links

Individual evidence

  1. ↑ Member entry of Wolfgang Lück (with picture and CV) at the German Academy of Natural Scientists Leopoldina , accessed on July 16, 2016.
  2. ↑ Press release from the University of Bonn. Retrieved October 27, 2012.
  3. ^ Announcement from the Hausdorff Center for Mathematics. Retrieved April 28, 2020.
personal data
SURNAME Lück, Wolfgang
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH 19th February 1957
PLACE OF BIRTH Herford