Mini-workshop: Artin groups meet triangulated categories. Abstracts from the mini-workshop held January 28 -- February 2, 2024

DOI10.4171/owr/2024/4zbMath1546.00052MaRDI QIDQ6613407

No author found.

Publication date: 2 October 2024

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Braid groups; Artin groups (20F36) Proceedings, conferences, collections, etc. pertaining to group theory (20-06) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to category theory (18-06) Derived categories, triangulated categories (18G80)

Cites Work

• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Outer space for untwisted automorphisms of right-angled Artin groups
• Braids, posets and orthoschemes
• Braid groups and Kleinian singularities
• Three-dimensional flops and noncommutative rings
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Simplicial nonpositive curvature
• Stability conditions and the braid group
• Harmonic algebraic curves and noncrossing partitions
• Fukaya categories and Picard-Lefschetz theory
• Stability conditions on \(A_n\)-singularities
• Moduli of graphs and automorphisms of free groups
• Cohomologies of braid groups
• The homology of iterated loop spaces
• Some properties of crossings and partitions
• Flops and clusters in the homological minimal model programme
• Faithful actions from hyperplane arrangements
• Contractible stability spaces and faithful braid group actions
• Artin groups and geometric monodromy
• Automorphisms of graph groups.
• Braid group actions on derived categories of coherent sheaves.
• \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
• Proof of the \(K(\pi,1)\) conjecture for affine Artin groups
• Spherical objects and stability conditions on \(2\)-Calabi-Yau quiver categories
• Geometric combinatorics of polynomials. I: The case of a single polynomial
• Koszul duality patterns in Floer theory
• Diagrammatics for Coxeter groups and their braid groups
• Automorphisms of 2-dimensional right-angled Artin groups.
• Stability conditions on triangulated categories
• Cohomologies of the group COS mod 2
• Les immeubles des groupes de tresses généralises
• THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS
• Quivers, Floer cohomology, and braid group actions
• INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS
• Dehn twists and free subgroups of symplectic mapping class groups
• Categorical action of the extended braid group of affine type A
• The dual braid monoid
• Generalized Braid Groups and Mapping Class Gropus
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• A Generating Set for the Automorphism Group of a Graph Group
• Cube complexes and abelian subgroups of automorphism groups of RAAGs
• Stability manifolds of varieties with finite Albanese morphisms
• Stability conditions for contraction algebras
• The mysterious geometry of Artin groups
• A partial order on the symmetric group and new \(K(\pi,1)\)'s for the braid groups
• Outer space for RAAGs
• Stability over cDV singularities and other complete local rings
• On symplectic stabilisations and mapping classes
• Stability conditions for 3-fold flops
• The galaxy of Coxeter groups
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