<p>Generators and their reflecting hyperplanes for the B3 Artin group</p>
Artin groups and arrangements are closely connected research areas at the crossroads of algebra, geometry and combinatorics. Recent progress on classical problems and the development of new techniques has led to intense activity both internally and in connection with adjacent research areas. Our program will build upon recent breakthroughs, address foundational questions and foster exchange between experts. We aim at strengthening the emerging connections with other research areas and encouraging junior researchers to engage with this broader landscape. In addition to Artin groups and hyperplane arrangements, topics of interest of the program will include relevant aspects of
Coxeter groups and root systems,
configuration spaces and arrangements of hypersurfaces,
algebraic geometry and singularity theory,
matroid theory and algebraic combinatorics,
algebraic and combinatorial topology,
homotopy theory and triangulated categories,
Garside theory and nonpositive curvature.
Artin groups and arrangements are closely connected research areas at the crossroads of algebra, geometry and combinatorics. Recent progress on classical problems and the development of new techniques has led to intense activity both internally and in connection with adjacent research areas. Our program will build upon recent breakthroughs, address foundational questions and foster exchange between experts. We aim at strengthening the emerging connections with other research areas and encouraging junior researchers to engage with this broader landscape. In addition to Artin groups and hyperplane arrangements, topics of interest of the program will include relevant aspects of
- Coxeter groups and root systems,
- configuration spaces and arrangements of hypersurfaces,
- algebraic geometry and singularity theory,
- matroid theory and algebraic combinatorics,
- algebraic and combinatorial topology,
- homotopy theory and triangulated categories,
- Garside theory and nonpositive curvature.
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Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
05E18 - Group actions on combinatorial structures
20F55 - Reflection and Coxeter groups (group-theoretic aspects) [See also 22E40, 51F15]
55R35 - Classifying spaces of groups and $H$H-spaces in algebraic topology
55R80 - Discriminantal varieties and configuration spaces in algebraic topology
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
05B35 - Combinatorial aspects of matroids and geometric lattices [See also 52B40, 90C27]
52C35 - Arrangements of points, flats, hyperplanes (aspects of discrete geometry) [See also 14N20, 32S22]
52C40 - Oriented matroids in discrete geometry
14F35 - Homotopy theory and fundamental groups in algebraic geometry [See also 14H30]
18G80 - Derived categories, triangulated categories
32S50 - Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants
57Q70 - Discrete Morse theory and related ideas in manifold topology