Roman Sauer
I moved to the Karlsruhe Institute of Technology. Here is my new webpage.
Upcoming events
Lehre
WS 2012/13: (KIT Karlsruhe)
- Vorlesung: Liegruppen und Liealgebren
- Seminar zur systolischen Geometrie
- Proseminar: Eulers Trickkiste (Programm)
- Seminar der AG Topologie
SS 2012:
- Vorlesung: Topologie II (Mi 8:30-10:00 in M104 und Fr 10:15-12:00 in M 104)
- Bachelorseminar (Fr 12:30-14:00 in M 102)
- Seminar: Gebäude (Do 12-14 in M 104)
- Oberseminar: Globale Analysis und Geometrie (Mi 10-12 in M103)
WS 2011/12:
- Vorlesung: Topologie I (Mi 8-10 in M104 und Fr 10-12 in M 104)
- Seminar: Liegruppen und ihre Darstellungen (Do 14-16 in M 102)
- Seminar: Differentialtopologie (Di 12-14 in M 101)
- Oberseminar: Stable cohomology of arithmetic groups after Borel (Fr 8-10 in M006) (Programm)
- Oberseminar: Globale Analysis und Geometrie (Mi 10-12 in M103)
Publications
Research papers:
-
Weak notions of normality and vanishing up to rank in L²-cohomology
joint with Uri Bader and
Alex Furman
[arXiv:1206.4793]
-
On the growth of Betti numbers in p-adic analytic towers
joint with Nicolas Bergeron and Peter Linnell and
Wolfgang Lück
[arXiv:1204.3298]
-
Integrable measure equivalence and rigidity of hyperbolic lattices
joint with Uri Bader and
Alex Furman
to appear in Inventiones
[arXiv:1006.5193]
-
Efficient subdivision in hyperbolic groups and applications
joint with Uri Bader and
Alex Furman
to appear in Groups, Geometry, and Dynamics
[arXiv:1003.1562]
-
Euler characteristics of categories and homotopy colimits
joint with Tom Fiore and
Wolfgang Lück
Documenta Math. 16 (2011), 301--354
[arXiv:1007.3868] [Journal] [MR2804514]
-
Spectral distribution and L²-isoperimetric profile of Laplace operators on groups
joint with Alexander Bendikov and
Christophe Pittet
Mathematische Annalen 354 (2012), 43-72
[arXiv:0901.0271] [Journal] [MR2957618 ]
-
Finiteness obstructions and Euler characteristics of categories
joint with Tom Fiore and
Wolfgang Lück
Advances in Mathematics, Volume 226, Issue 3, 2011, 2371–2469
[arXiv:0908.3417] [Journal] [MR2739781]
-
The limit of F_p-Betti numbers of a tower of finite covers with amenable fundamental groups
joint with Peter Linnell and
Wolfgang Lück
Proc. Amer. Math. Soc. 139 (2011), 421-434
[arXiv:1003.0434] [Journal] [MR2736326]
-
L²-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence
joint with and Wolfgang Lück and Christian Wegner
Journal of Topology and Analysis, Volume 2, Issue 2, 2010, 145-171
[arXiv:0903.2925] [Journal] [MR2652905]
-
A spectral sequence to compute L²-Betti numbers of groups and groupoids
joint with Andreas Thom
Journal of the London Mathematical Society, Volume 81, Number 3, 2010, 747-773
[arXiv:0707.0906] [Journal] [MR2650795
]
-
Degree theorems and Lipschitz simplicial volume for
non-positively curved manifolds of finite volume
joint with Clara Löh
Journal of Topology, Volume 2, Number 1, 2009, 193-225
[arXiv:0710.1635]
[Journal] [MR2499443]
-
Simplicial Volume of Hilbert modular varieties
joint with Clara Löh
Commentarii Mathematici Helvetici, Volume 84, Issue 3, 2009, 457-470
[arXiv:0706.3904] [Journal] [MR2507250]
-
Amenable covers, volume and L²-Betti numbers of
aspherical manifolds
J. Reine Angew. Math (Crelle's Journal), Issue 636, November 2009, 47-92
[math.AT/0605627] [Journal] [MR2572246 ]
-
Homological invariants and quasi-isometry
Geom. Funct. Anal. (GAFA), Volume 16, Number 2,
2006, 476–515
[math.AT/0312129]
[Journal]
[MR2231471]
-
L²-Betti numbers of discrete measured groupoids
Internat. J. Algebra Comput. 15
(2005), no. 5-6, 1169–1188
[math.AT/0312411]
[Journal]
[MR2197826]
-
Power series over the group ring of a free group and applications to Novikov-Shubin invariants
Proceedings of the School High-Dimensional
Manifold Topology, Trieste, 2003.
[pdf]
[MR2048733]
Expository and miscellaneous papers:
-
The asymptotic growth of twisted torsion
joint with Nicolas Bergeron and
Wolfgang Lück
[pdf]
-
Homotopy invariance of almost flat Betti numbers
joint with Thomas
Schick
Enseign. Math. (2) 54 (2008), no. 1-2 (Guido's book of conjectures)
[pdf] [MR2454697]
-
Volume and L²-Betti numbers of aspherical manifolds
Proceedings of the Courant Colloquium
Göttingen 2007 (ISBN 3-978-3-940344-56-4)
[Online edition] [pdf] [MR2906042]
Organized conferences and schools
Invited presentations
- Topology and Groups, Berlin, June 2012
- Mittag-Leffler institute, Stockholm, Geometric and Analytic Aspects of Group Theory, April 2012
- Beit Hatfutsot, Tel Aviv, Transcending Tradition -- Jewish Mathematicians in German-Speaking Academic Culture, November 2011
- Technion, Haifa, Conference on geometric group theory, June 2011
- University of Bonn, 14th NRW Topology meeting, November 2011
- Technion, Haifa, Colloquium, June 2010
[Slides]
- Technion, Haifa, Geometry Seminar, June 2010
- ETH Zürich, Algebra and Topology Seminar, March 2010
- ETH Zürich, Geometry Seminar, March 2010
- University of Copenhagen, Workshop: Von Neumann algebras and group actions, February 2010
- University of Regensburg, Kolloquium,
December 2009
[Slides]
- Hausdorff Institute Bonn, Workshop: Rigidity in cohomology, K-theory, geometry and ergodic theory, November 2009
- University of Osnabrück, Kolloquium, October 2009
- University of Göttingen, Lecture series on "measurable group theory as a tool in geometry", August 2009
[Notes by Anke Pohl]
- WWU Münster, Habilitationskolloquium, July 2009
- University of Illinois at Chicago, Geometry, Topology, and Dynamics Seminar, March 2009
- University of Regensburg, Kolloquium,
March 2009
- University of Regensburg, Kolloquium des Kepler-Forschungszentrums,
November 2008
- LMU München, Differentialtopologie-Seminar,
November 2008
- MFO Oberwolfach,
Workshop on von Neumann algebras and ergodic theory of group actions,
November 2008
- University of Stuttgart, Kolloquium,
October 2008
[Slides]
- MFO Oberwolfach,
Topology workshop, September 2008
- Banff International
Research Station, Topics in von Neumann algebras,
March 2008
[Slides]
[Handout]
- University of Michigan, Geometry seminar, February 12, 2008
- Courant Research
Center Göttingen, Courant-Colloquium "Göttingen
trends in Mathematics", October 2007
[Slides] [Extended notes]
- WWU
Münster, Oberseminar Topologie, October 2007
- Banff International
Research Station, Topological and geometric
rigidity, July 2007
[Slides]
- Binghamton
University,Topology seminar, April 2007
- University of
Urbana-Champaign, Seminar, April 2007
- Banff International
Research Station, Topology, February 2007
- Ohio State
University, Seminar, February 2007
- University of Illinois at Chicago,
Geometry, Topology, and Dynamics Seminar, November 2006
- University of
Karlsruhe, Conference on "Geometry and
algebra of solvable groups", October 2006
- MPI Bonn,
Activity on Geometry and Group Theory, July 2006
- MPI Bonn,
Oberseminar Topologie, July 2006
- CRM Montreal
Conference on geometric group theory, July 2006
- MFO Oberwolfach, Topological and
Geometric Methods in Group Theory, April 2006
-
University of South Alabama,
G3-conference, March 2006
- University of
Chicago, Topology/Geometry Seminar, March 2006
- LMU München, Differentialtopologie-Seminar,
January 2006
- Nashville, Third Annual Spring Institute on Noncommutative
Geometry and Operator Algebras, May 2005
- University of Tel-Aviv, Seminar, May 2005
- Hebrew University Jerusalem, Seminar, May 2005
- University of Göttingen, GK-Kolloquium, January 2005
- Luminy, Seminar, November 2004
- University of Marseille, Seminar, November 2004
- ENS Lyon, ENS-Seminar, November 2004
- University of Grenoble, Tripod Seminaire, November
2004
- MFO Oberwolfach, Topology workshop, September
2004
- Bonn, NRW Topology meeting, April 2004
- Diablerets, Invariants sous Quasi-Isometrie, April 2004
- University of Augsburg, Differentialgeometrie-Seminar,
November 2003
- ETH Zürich, Seminar, June 2003
- University of Basel, Seminar, November 2001
last modified: June 22, 2012 by
Roman Sauer