Torsion homology growth in arithmetic groups Nicolas Bergeron (UPMC) To quote Jordan Ellenberg [4]: “I was raised to think of torsion classes in homology as a terrifying mystery that one dealt with by tensoring with th

Source URL: www.7ecm.de

• Differential geometry
• Analytic torsion
• Torsion
• Cohomology
• Homology
• Werner Mller
• Arithmetic group
• Poincar duality
• Quantum cohomology

ON THE COHOMOLOGY OF COMPACT UNITARY GROUP SHIMURA VARIETIES AT RAMIFIED SPLIT PLACES PETER SCHOLZE, SUG WOO SHIN Abstract. In this article, we prove results about the cohomology of compact unitary group Shimura varietie

Source URL: www.math.uni-bonn.de

High-Dimensional Winding-Augmented Motion Planning with 2D Topological Task Projections and Persistent Homology Florian T. Pokorny, Danica Kragic, Lydia E. Kavraki, Ken Goldberg Abstract— Recent progress in motion plan

Source URL: goldberg.berkeley.edu

• Topology
• Mathematics
• Homotopy theory
• Algebraic topology
• Fundamental group
• Homotopy
• Cohomology
• Topological space
• Winding number
• Homology
• Retract
• Covering space

GAP Package — COHOMOLO by Derek Holt

Source URL: www.gap-system.org

• Algebra
• Abstract algebra
• Mathematics
• Group theory
• Homological algebra
• Symmetry
• Schur multiplier
• Cohomology
• Sylow theorems
• Presentation of a group
• Sheaf
• Group

ON THE ARITHMETIC OF ELLIPTIC CURVES AND A HOMOTOPY LIMIT PROBLEM IGOR KRIZ In this note, I study a comparison map between a

Source URL: www.math.lsa.umich.edu

• Algebra
• Abstract algebra
• Mathematics
• Cohomology theories
• Homological algebra
• Group theory
• Algebraic geometry
• Algebraic topology
• Motivic cohomology
• Cohomology
• tale cohomology
• Norm residue isomorphism theorem

CONVERGENCE OF THE MOTIVIC ADAMS SPECTRAL SEQUENCE P.HU, I.KRIZ, K.ORMSBY 1. Introduction In [9], we proved convergence of the motivic Adams spectral sequence

Source URL: www.math.lsa.umich.edu

• Homotopy theory
• Topology
• Mathematics
• Algebra
• Cohomology
• Adams spectral sequence
• Spectrum
• Homotopy category
• Fibration
• Homotopy group
• Homotopy
• Stable homotopy theory

Abstract: While there is no ambiguity regarding the notion of a cohomology theory with values in an abelian group, or in a complex of abelian groups, this is no longer the case when dealing with a complex of nonabelian g

Source URL: www.math.columbia.edu

THE EQUIVARIANT COMPLEX COBORDISM RING OF A FINITE ABELIAN GROUP WILLIAM ABRAM, IGOR KRIZ Abstract. We compute the equivariant (stable) complex cobordism ring (M UG )∗ for finite abelian groups G.

Source URL: www.math.lsa.umich.edu

• Algebraic topology
• Homotopy theory
• Surgery theory
• Cobordism
• Differential topology
• Cohomology
• Classifying space
• Sheaf
• Ring
• Spectrum
• Equivariant cohomology
• Whitehead torsion

arXiv:math/0010096v2 [math.AT] 12 JulPERIODIC COMPLEXES AND GROUP ACTIONS ALEJANDRO ADEM AND JEFF H. SMITH Abstract. In this paper we show that the cohomology of a connected CW –complex is periodic if and only i

Source URL: arxiv.org

arXiv:math/0406130v1 [math.AT] 7 JunTOROIDAL ORBIFOLDS, GERBES AND GROUP COHOMOLOGY ALEJANDRO ADEM AND JIANZHONG PAN Abstract. In this paper we compute the integral cohomology of certain semi–direct products of

Source URL: arxiv.org