Roman Sauer

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All published works

Action	Title	Year	Authors
+ PDF Chat	The algebraic cheap rebuilding property	2024	Kevin Li Clara Loeh Marco Moraschini Roman Sauer Matthias Uschold
+ PDF Chat	Uniform waist inequalities in codimension two for manifolds with Kazhdan fundamental group	2024	Uri Bader Roman Sauer
+	Stability and instability of lattices in semisimple groups	2023	Uri Bader Alexander Lubotzky Roman Sauer Shmuel Weinberger
+	Stability and instability of lattices in semisimple groups	2023	Uri Bader Alexander Lubotzky Roman Sauer Shmuel Weinberger
+	Higher Kazhdan property and unitary cohomology of arithmetic groups	2023	Uri Bader Roman Sauer
+ PDF Chat	Volume and macroscopic scalar curvature	2021	Sabine Braun Roman Sauer
+	Amenable covers and integral foliated simplicial volume	2021	Clara Loeh Marco Moraschini Roman Sauer
+	Volume and macroscopic scalar curvature	2020	Sabine Braun Roman Sauer
+ PDF Chat	$S$-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology	2020	Holger Kammeyer Roman Sauer
+ PDF Chat	Bounded cohomology of amenable covers via classifying spaces	2020	Clara Löh Roman Sauer
+ PDF Chat	Homology and homotopy complexity in negative curvature	2020	Uri Bader Tsachik Gelander Roman Sauer
+	From Betti numbers to ℓ²-Betti numbers	2020	Holger Kammeyer Roman Sauer
+ PDF Chat	Profinite invariants of arithmetic groups	2020	Holger Kammeyer Steffen Kionke Jean Raimbault Roman Sauer
+	Volume and macroscopic scalar curvature	2020	Sabine Braun Roman Sauer
+ PDF Chat	Lattice envelopes	2019	Uri Bader Alex Furman Roman Sauer
+	Bounded cohomology of amenable covers via classifying spaces	2019	Clara Loeh Roman Sauer
+ PDF Chat	An adelic arithmeticity theorem for lattices in products	2019	Uri Bader Alex Furman Roman Sauer
+ PDF Chat	Counting maximally broken Morse trajectories on aspherical manifolds	2019	Caterina Campagnolo Roman Sauer
+	Profinite invariants of arithmetic groups	2019	Holger Kammeyer Steffen Kionke Jean Raimbault Roman Sauer
+	Bounded cohomology of amenable covers via classifying spaces	2019	Clara Loeh Roman Sauer
+	Profinite invariants of arithmetic groups	2019	Holger Kammeyer Steffen Kionke Jean Raimbault Roman Sauer
+	S-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology	2018	Holger Kammeyer Roman Sauer
+ PDF Chat	L2-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices	2018	Henrik Densing Petersen Roman Sauer Andreas Thom
+	L2-Betti number of discrete and non-discrete groups	2018	Roman Sauer
+ PDF Chat	Vanishing of $\ell ^2$-Betti numbers of locally compact groups as an invariant of coarse equivalence	2018	Roman Sauer Michael Schrödl
+	S-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology	2018	Holger Kammeyer Roman Sauer
+	Lattice envelopes	2017	Uri Bader Alex Furman Roman Sauer
+ PDF Chat	Cantor systems and quasi-isometry of groups	2017	Kostya Medynets Roman Sauer Andreas Thom
+	An adelic arithmeticity theorem for lattices in products	2017	Uri Bader Alex Furman Roman Sauer
+	An adelic arithmeticity theorem for lattices in products	2017	Uri Bader Alex Furman Roman Sauer
+	Lattice envelopes	2017	Uri Bader Alex Furman Roman Sauer
+	Homology and homotopy complexity in negative curvature	2016	Uri Bader Tsachik Gelander Roman Sauer
+ PDF Chat	Integral foliated simplicial volume of aspherical manifolds	2016	Roberto Frigerio Clara Löh Cristina Pagliantini Roman Sauer
+ PDF Chat	Topological Models of Finite Type for Tree Almost Automorphism Groups	2016	Roman Sauer Werner Thumann
+ PDF Chat	Volume and homology growth of aspherical manifolds	2016	Roman Sauer
+	Homology and homotopy complexity in negative curvature	2016	Uri Bader Tsachik Gelander Roman Sauer
+	Topological models of finite type for tree almost automorphism groups	2015	Roman Sauer Werner Thumann
+	Integral Foliated Simplicial Volume of Aspherical Manifolds	2015	Roberto Frigerio Clara Loeh Cristina Pagliantini Roman Sauer
+	On the structure and arithmeticity of lattice envelopes	2015	Uri Bader Alex Furman Roman Sauer
+	l2-Betti numbers of discrete and non-discrete groups	2015	Roman Sauer
+	Integral Foliated Simplicial Volume of Aspherical Manifolds	2015	Roberto Frigerio Clara Loeh Cristina Pagliantini Roman Sauer
+	Topological models of finite type for tree almost automorphism groups	2015	Roman Sauer Werner Thumann
+ PDF Chat	-invisibility and a class of local similarity groups	2014	Roman Sauer Werner Thumann
+ PDF Chat	On the growth of Betti numbers in $p$-adic analytic towers	2014	Nicolas Bergeron Peter A. Linnell Wolfgang Lück Roman Sauer
+ PDF Chat	On the cohomology of weakly almost periodic group representations	2014	Uri Bader Christian Rosendal Roman Sauer
+ PDF Chat	Efficient subdivision in hyperbolic groups and applications	2013	Uri Bader Alex Furman Roman Sauer
+ PDF Chat	Weak Notions of Normality and Vanishing up to Rank in L2-Cohomology	2013	Uri Bader Alex Furman Roman Sauer
+	On the cohomology of weakly almost periodic group representations	2013	Uri Bader Christian Rosendal Roman Sauer
+ PDF Chat	Integrable measure equivalence and rigidity of hyperbolic lattices	2013	Uri Bader Alex Furman Roman Sauer
+	On the cohomology of weakly almost periodic group representations	2013	Uri Bader Christian Rosendal Roman Sauer
+	Weak notions of normality and vanishing up to rank in L2-cohomology	2012	Uri Bader Alex Furman Roman Sauer
+	On the growth of Betti numbers in $p$-adic analytic towers	2012	Nicolas Bergeron Peter A. Linnell Wolfgang Lück Roman Sauer
+	Weak notions of normality and vanishing up to rank in L2-cohomology	2012	Uri Bader Alex Furman Roman Sauer
+	On the growth of Betti numbers in $p$-adic analytic towers	2012	Nicolas Bergeron Peter A. Linnell Wolfgang Lück Roman Sauer
+	Spectral distribution and L2-isoperimetric profile of Laplace operators on groups	2011	Alexander Bendikov Christophe Pittet Roman Sauer
+ PDF Chat	Euler characteristics of categories and homotopy colimits	2011	Thomas M. Fiore Wolfgang Lück Roman Sauer
+	Euler Characteristics of Categories and Homotopy Colimits	2011	Thomas M. Fiore Wolfgang Lück Roman Sauer
+ PDF Chat	The limit of $\mathbb{F}_{p}$-Betti numbers of a tower of finite covers with amenable fundamental groups	2010	Peter A. Linnell Wolfgang Lück Roman Sauer
+ PDF Chat	Finiteness obstructions and Euler characteristics of categories	2010	Thomas M. Fiore Wolfgang Lück Roman Sauer
+	Integrable measure equivalence and rigidity of hyperbolic lattices	2010	Uri Bader Alex Furman Roman Sauer
+ PDF Chat	L<sup>2</sup>-TORSION, THE MEASURE-THEORETIC DETERMINANT CONJECTURE, AND UNIFORM MEASURE EQUIVALENCE	2010	Wolfgang Lück Roman Sauer Christian Wegner
+ PDF Chat	A spectral sequence to compute <i>L</i> <sup>2</sup> -Betti numbers of groups and groupoids	2010	Roman Sauer Andreas Thom
+	Efficient subdivision in hyperbolic groups and applications	2010	Uri Bader Alex Furman Roman Sauer
+	The limit of F_p-Betti numbers of a tower of finite covers with amenable fundamental groups	2010	Peter A. Linnell Wolfgang Lueck Roman Sauer
+	Integrable measure equivalence and rigidity of hyperbolic lattices	2010	Uri Bader Alex Furman Roman Sauer
+	The limit of F_p-Betti numbers of a tower of finite covers with amenable fundamental groups	2010	Peter A. Linnell Wolfgang Lueck Roman Sauer
+	Euler Characteristics of Categories and Homotopy Colimits	2010	Thomas M. Fiore Wolfgang Lück Roman Sauer
+	Efficient subdivision in hyperbolic groups and applications	2010	Uri Bader Alex Furman Roman Sauer
+ PDF Chat	Simplicial volume of Hilbert modular varieties	2009	Clara Löh Roman Sauer
+	Finiteness obstructions and Euler characteristics of categories	2009	Thomas M. Fiore Wolfgang Lück Roman Sauer
+	L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence	2009	Wolfgang Lueck Roman Sauer Christian Wegner
+	A Weyl type formula relating spectral distribution to $L^2$-isoperimetric profile	2009	Alexander Bendikov Christophe Pittet Roman Sauer
+	Spectral distribution and $L^2$-isoperimetric profile of Laplace operators on groups	2009	Alexander Bendikov Christophe Pittet Roman Sauer
+ PDF Chat	Amenable covers, volume and L 2-Betti numbers of aspherical manifolds	2009	Roman Sauer
+ PDF Chat	Degree theorems and Lipschitz simplicial volume for nonpositively curved manifolds of finite volume	2009	Clara Löh Roman Sauer
+	Finiteness obstructions and Euler characteristics of categories	2009	Thomas M. Fiore Wolfgang Lück Roman Sauer
+	L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence	2009	Wolfgang Lueck Roman Sauer Christian Wegner
+	VOLUME ANDL 2 -BETTI NUMBERS OF ASPHERICAL MANIFOLDS	2008	Ralph Meyer Thomas Schick Yuri Tschinkel Roman Sauer
+	HOMOTOPY INVARIANCE OF ALMOST FLAT BETTI NUMBERS	2008	Roman Sauer Thomas Schick
+	A Hochschild-Serre spectral sequence for extensions of discrete measured groupoids	2007	Roman Sauer Andreas Thom
+	Simplicial volume of Hilbert modular varieties	2007	Clara Loeh Roman Sauer
+	Amenable covers, minimal volume and L2-Betti numbers of aspherical manifolds	2006	Roman Sauer
+	Amenable covers, volume and L2-Betti numbers of aspherical manifolds	2006	Roman Sauer
+ PDF Chat	L<sup>2</sup>-BETTI NUMBERS OF DISCRETE MEASURED GROUPOIDS	2005	Roman Sauer
+	Quasi-Isometry Invariance of Novikov-Shubin Invariants for Amenable Groups	2003	Roman Sauer
+	POWER SERIES OVER THE GROUP RING OF A FREE GROUP AND APPLICATIONS TO NOVIKOV-SHUBIN INVARIANTS	2003	Roman Sauer
+	L^2-Betti Numbers of Discrete Measured Groupoids	2003	Roman Sauer
+	Homological Invariants and Quasi-Isometry	2003	Roman Sauer

Common Coauthors

Coauthor	Papers Together
Uri Bader	26
Alex Furman	16
Wolfgang Lück	11
Holger Kammeyer	7
Clara Loeh	7
Peter A. Linnell	6
Thomas M. Fiore	6
Andreas Thom	4
Wolfgang Lueck	4
Werner Thumann	4
Clara Löh	4
Steffen Kionke	3
Christian Wegner	3
Alexander Bendikov	3
Christian Rosendal	3
Christophe Pittet	3
Cristina Pagliantini	3
Tsachik Gelander	3
Roberto Frigerio	3
Nicolas Bergeron	3
Jean Raimbault	3
Sabine Braun	2
Shmuel Weinberger	2
Thomas Schick	2
Alexander Lubotzky	2
Marco Moraschini	2
Henrik Densing Petersen	1
Kostya Medynets	1
Matthias Uschold	1
Yuri Tschinkel	1
Kevin Li	1
Sabine Braun	1
Caterina Campagnolo	1
Michael Schrödl	1
Ralph Meyer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Invariants ℓ2 de relations d’équivalence et de groupes	2002	Damien Gaboriau	20
+	L2-Invariants: Theory and Applications to Geometry and K-Theory	2002	Wolfgang Lück	20
+	L2-Cohomology and group cohomology	1986	Jeff Cheeger Mikhael Gromov	17
+ PDF Chat	Gromov's Measure Equivalence and Rigidity of Higher Rank Lattices	1999	Alex Furman	13
+	COHOMOLOGY OF GROUPS (Graduate Texts in Mathematics, 87)	1984	C. B. Thomas	13
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	11
+	Volume and bounded cohomology	1982	Michael Gromov	10
+	Cohomology of Groups	1982	Kenneth S. Brown	10
+ PDF Chat	L<sup>2</sup>-BETTI NUMBERS OF DISCRETE MEASURED GROUPOIDS	2005	Roman Sauer	8
+	Dimension theory of arbitrary modules over finite von Neumann algebras and L2-Betti numbers I: Foundations	1998	Wolfgang Lück	8
+ PDF Chat	Ergodic equivalence relations, cohomology, and von Neumann algebras. I	1977	Jacob J. Feldman Calvin C. Moore	8
+ PDF Chat	Orbit Equivalence Rigidity	1999	Alex Furman	8
+	Foundations of the theory of bounded cohomology	1987	Nikolai V. Ivanov	7
+ PDF Chat	Homological Invariants and Quasi-Isometry	2006	R. Sauer	7
+ PDF Chat	Measure homology and singular homology are isometrically isomorphic	2006	Clara Löh	7
+ PDF Chat	Transformation groups and algebraic K-theory	1990	Wolfgang Lück	7
+	The virtual Haken conjecture	2012	Ian Agol Daniel Groves Jason Fox Manning	6
+	Dimension theory of arbitrary modules over finite von Neumann algebras and L2-Betti numbers II: Applications to Grothendieck groups, L2-Euler characteristics and Burnside groups	1998	Wolfgang Lück	6
+	Cohomology of Groups	1982	Kenneth S. Brown	6
+	Continuous Bounded Cohomology of Locally Compact Groups	2014	Nicolas Monod	6
+ PDF Chat	A convenient category of topological spaces.	1967	Norman Steenrod	6
+	ApproximatingL 2-invariants by their finite-dimensional analogues	1994	Wolfgang Lück	6
+	The L^2-cohomology of negatively curved Riemannian symmetric spaces	1985	A. Borel	6
+	Asymptotic invariants of infinite groups	1993	Mikhael Gromov Graham A. Niblo Martin A. Roller	6
+	Corners and arithmetic groups	1973	Armand Borel J-P. Serre	5
+	Survey on Classifying Spaces for Families of Subgroups	2006	Wolfgang Lück	5
+ PDF Chat	Foundations of Hyperbolic Manifolds	2006	John G. Ratcliffe	5
+ PDF Chat	Ergodic equivalence relations, cohomology, and von Neumann algebras	1975	Jacob J. Feldman Calvin C. Moore	5
+ PDF Chat	Approximating L 2-Invariants and Homology Growth	2013	Wolfgang Lück	5
+ PDF Chat	Lectures on Algebraic Topology	1995	Albrecht Dold	5
+ PDF Chat	Amenable covers, volume and L 2-Betti numbers of aspherical manifolds	2009	Roman Sauer	5
+ PDF Chat	Rigidity, Unitary Representations of Semisimple Groups, and Fundamental Groups of Manifolds with Rank One Transformation Group	2000	Yehuda Shalom	5
+	Deformation and rigidity for group actions and von Neumann algebras	2006	Sorin Popa	5
+	L 2 -Invariants from the Algebraic Point of View	2004	Wolfgang Lück Fachbereich Mathematik	5
+ PDF Chat	Group cocycles and the ring of affiliated operators	2011	Jesse Peterson Andreas Thom	5
+	Algebraic topology	2001	Allen Hatcher	5
+	Analytic and Reidemeister torsion for representations in finite type Hilbert modules	1996	Dan Burghelea Thomas Kappeler Patrick McDonald Leonid Friedlander	4
+	Mostow-Margulis rigidity with locally compact targets	2001	Alex Furman	4
+	Discrete Subgroups of Semisimple Lie Groups	1991	Gregori Aleksandrovitch Margulis	4
+	A Model for the Universal Space for Proper Actions of a Hyperbolic Group	2002	David Meintrup Thomas Schick	4
+ PDF Chat	Transformation Groups and Representation Theory	1979	Tammo tom Dieck	4
+ PDF Chat	On the Farrell-Jones Conjecture and its applications	2007	Arthur Bartels Wolfgang Lück Holger Reich	4
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-Betti numbers of locally compact groups	2013	Henrik Densing Petersen	4
+	Classifying Space for Proper Actions and K-Theory of Group C*-algebras	2004	Paul Baum Alain Connes Nigel Higson	4
+	On the universal space for group actions with compact isotropy	2000	Wolfgang Lück David Meintrup	4
+	L^2-invariants of locally symmetric spaces	2000	Martin Olbrich	4
+ PDF Chat	Orbit equivalence rigidity and bounded cohomology	2006	Nicolas Monod Yehuda Shalom	4
+	Harmonic analysis, cohomology, and the large-scale geometry of amenable groups	2004	Yehuda Shalom	4
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	4
+	The Borel Conjecture for hyperbolic and CAT(0)-groups	2009	Arthur Bartels Wolfgang Lueck	4