Wolfgang Lück

Wolfgang Lück ( born February 19, 1957 in Herford ) is a German mathematician who is an internationally recognized expert in algebraic topology.

Life and work

Lück studied after graduating from the Ravens Berger Gymnasium in Herford in 1975 at the Georg -August- University of Göttingen, where he was awarded a degree in 1981 and his doctorate in 1984 at Tammo tom Dieck with distinction. Title of the work was " A general description of fibrations on projective class groups and Whitehead groups ". From 1982 he was a research associate and assistant from 1985 in Göttingen, where he habilitated in 1989. 1990/91 he was an associate professor at the University of Kentucky in Lexington. 1991 to 1996 he was a professor at the University of Mainz from 1996 to 2010 he taught at the University of Münster, since October 2010, he works at the University of Bonn. In 2003 he received the Max Planck Research Award and the 2008 Gottfried Wilhelm Leibniz Prize.

Lück worked, inter alia, 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 by operator algebras. They have applications in group theory and differential geometry.

2009 and 2010 was Lück President of the German Mathematical Society, since 2006, previously as Vice President. 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 2010 at the International Congress of Mathematicians in Hyderabad (K -and L -theory of group rings ). Lück 2010 was elected a member of the German Academy of Sciences Leopoldina - elected National Academy of Sciences.

Since October 2011, Lueck is director of the Hausdorff Research Institute for Mathematics (HIM) in Bonn. In 2012 he was appointed by the Max Planck Society Fellow at the Max Planck Institute for Mathematics in Bonn.

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

His doctoral Thomas Schick heard.

Writings

• Approximating - invariants by Their finite -dimensional analogues. Geom Funct. Anal. 4 (1994 ), no 4, 455-481.
• With J. Davis: Spaces over a category and assembly maps in isomorphism conjectures in K -and L -theory. K- Theory 15 (1998 ), no 3, 201-252.
• Chern characters for proper equivariant homology theories and applications to K -and L -theory. J. Reine Angew. Math 543 (2002), 193-234.
• With A. Bartels, H. Reich: The K- theoretic Farrell -Jones conjecture for hyperbolic groups. Invent. Math 172 (2008), no 1, 29-70.
• With A. Bartels: The Borel conjecture for hyperbolic and CAT ( 0) -groups. Ann. of Math ( 2) 175 (2012 ), no 2, 631-689.

• Transformation groups and algebraic K -theory, Lecture Notes in Mathematics. Springer, Bd.1408, 1989.
• L2 - Invariants: Theory and Application to Geometry and K- Theory. Springer, results in mathematics, 2002.
• With Kreck: The Novikov Conjecture - Geometry and Algebra, Oberwolfach seminar. Birkhäuser, 2004.
• Algebraic Topology: Homology and manifolds. Vieweg, 2005.
• L2 invariants of manifolds and groups, annual report, DMV, Bd.99. 1997, Issue 3
• L2 Invariants and Their application to geometry, group theory and spectral theory, in "Mathematics Unlimited - 2001 and Beyond". Springer, 2001.
• With Farrell, Göttsche (ed.): Topology of high- dimensional manifolds, ICTP Lecture Notes. , 2002.