Doctoral Student Seminar, Winter TermGeometric Group Theory Alexander Heß, Moritz Rodenhausen The main idea behind geometric group theory is as follows: Study a group by

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

• Mathematics
• Algebra
• Topology
• Geometric group theory
• Algebraic topology
• Homotopy theory
• Group theory
• Karen Vogtmann
• Artin group
• Classifying space
• Differential geometry of surfaces
• CW complex

Arithmetic quotients of automorphism groups of RAAGs Karen Vogtmann (Warwick) We show that the representations of Aut(Fn ) constructed by Grunewald and Lubotzky can sometimes be extended to automorphism groups of rightan

Source URL: www.macs.hw.ac.uk

The topology and geometry of automorphism groups of free groups Karen Vogtmann (University of Warwick) In the 1970’s Stallings showed that one could learn a great deal about free groups and their automorphisms by viewi

Source URL: www.7ecm.de

Geometry of the Space of Phylogenetic Trees Louis J. Billera Department of Mathematics, Malott Hall, Cornell University, Ithaca, NYE-mail: and

Source URL: statweb.stanford.edu

• Phylogenetics
• Karen Vogtmann
• Phylogenetic tree
• Tree
• Combinatorics
• Steiner tree problem
• Binary trees
• Unrooted binary tree
• Suffix tree
• Graph theory
• Mathematics
• Theoretical computer science

ASSEMBLING HOMOLOGY CLASSES IN AUTOMORPHISM GROUPS OF FREE GROUPS JAMES CONANT, ALLEN HATCHER, MARTIN KASSABOV, AND KAREN VOGTMANN Abstract. The observation that a graph of rank n can be assembled from graphs of smaller

Source URL: www.math.cornell.edu

• Algebraic topology
• Homotopy theory
• Homotopy group
• Mapping class group
• Homology
• Cohomology
• Serre spectral sequence
• Assembly map
• Spectral sequence
• Abstract algebra
• Topology
• Algebra

Nathalie Wahl Dept. of Mathematics University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen, Denmark

Source URL: www.math.ku.dk

• Algebraic topology
• Mapping class group
• Homology
• Allen Hatcher
• Stable map
• Manifold
• String topology
• Karen Vogtmann
• Frank Quinn
• Topology
• Geometric topology
• Mathematics

WHAT IS Outer Space? Karen Vogtmann To investigate the properties of a group G, it is often useful to realize G as a group of symmetries of some geometric object. For example, the classical modular group P SL(2, Z) can b

Source URL: www.math.cornell.edu

• Group theory
• Geometric group theory
• Symmetry
• Homological algebra
• Geometric topology
• Karen Vogtmann
• Out
• Mapping class group
• Automorphism
• Abstract algebra
• Mathematics
• Algebra

Definable and negligible subsets of free groups (in honor of Karen Vogtmann’s 60th birthday) joint with Mladen Bestvina Luminy, June 23, 2010

Source URL: andromeda.rutgers.edu

• Negligible set
• Algebra
• Abelian group
• Finite set
• Geometric group theory
• Abstract algebra
• Mathematics
• Mathematical analysis

CERF THEORY FOR GRAPHS Allen Hatcher and Karen Vogtmann ABSTRACT. We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group Fn . Applications include a simple geometri

Source URL: www.math.cornell.edu

• Algebraic topology
• Geometric topology
• Fundamental group
• Homotopy theory
• Simplex
• Graph
• Karen Vogtmann
• Neighbourhood
• Triangulation
• Mathematics
• Topology
• Graph theory

THE COMPLEX OF FREE FACTORS OF A FREE GROUP Allen Hatcher * and Karen Vogtmann* ABSTRACT. We show that the geometric realization of the partially ordered set of proper free factors in a finitely generated free group of r

Source URL: www.math.cornell.edu

• Algebraic topology
• Homotopy theory
• Topological spaces
• Geometric topology
• Building
• CW complex
• Triangulation
• Simplicial complex
• Simplex
• Topology
• Abstract algebra
• Mathematics