The Isomorphism Problem for Artin Groups
Explorez le problème d'isomorphisme pour les groupes d'Artin, en particulier pour les groupes de "grand type". Découvrez les défis, les conjectures et les résultats partiels dans ce domaine mathématique complexe.
Paths to Matroid Representations
Delve into advanced matroid theory, exploring representation theorems, connectivity statements, and orthogonal matroids through historical developments and modern algebraic approaches.
Geometric Graph Theory - Weyl Groups, Root Systems and Quadratic Forms
Explore geometric graph theory through the Mutation Game, examining root systems, Weyl groups, and quadratic forms. Discover how graphs generate unique geometrical structures and reflection groups.
Divergence in Coxeter Groups
Explores divergence in Coxeter groups, introducing the 'hypergraph index' to characterize linear, quadratic, and exponential divergence in these mathematical structures.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I
Explore the fascinating parallel between Coxeter groups and matroids in combinatorial cohomology, featuring recent research on singular Hodge theory for combinatorial geometries.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids II
Explore the parallel between Coxeter groups and matroids in combinatorial cohomology, with insights on singular Hodge theory for combinatorial geometries from recent collaborative research.
Coxeter Groups are Biautomatic - Lecture 3
Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
Coxeter Groups are Biautomatic - Lecture 2
Explore Coxeter groups' biautomatic properties in this advanced geometric group theory lecture, part of a workshop fostering research collaboration and exposure to active areas in the field.
Coxeter Groups are Biautomatic - Lecture 1
Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
The Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group
Explore the Lie algebra's connection to lower central series in right-angled Coxeter groups, delving into advanced mathematical concepts and their implications.
Subgroups of Right-Angled Artin and Coxeter Groups - Remarks and Analysis
Explore subgroups of right-angled Artin and Coxeter groups with Ian Leary, delving into advanced mathematical concepts and their implications in group theory.
Coxeter Groups are Biautomatic - Workshop on Cube Complexes and Combinatorial Geometry
Explore the biautomaticity of Coxeter groups and its implications for uniform lattices in building isometry groups. Gain insights from recent mathematical research.
Fock Spaces Associated with Coxeter Groups of Type B
Explore Fock spaces related to infinite hyperoctahedral groups, examining two-parameter functions and their positive definiteness in extreme characters. Apply findings to cyclic Fock spaces of type B.
Spectral Invariants of Integrable Polygons
Delve into advanced mathematical concepts exploring integrable polygons, their spectral invariants, and connections to plane tessellation and crystallographic Coxeter groups in higher dimensions.