On the K(π, 1) problem for abelian arrangements
Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics March 11, 2024 - March 15, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Artin groups
braid groups
Coxeter groups
reflection groups
Garside structures
classifying spaces
hyperplane arrangements
subspace arrangements
configuration spaces
geometric group theory
Matroids
cohomology
On the K(π, 1) problem for abelian arrangements
The theory of arrangements recently broadened its scope beyond the linear case to include arrangements in the torus, in products of elliptic curves and, more generally, in Abelian Lie groups. The classical K(pi,1) problem, i.e. deciding asphericity of an arrangement's complement in combinatorial terms, can be stated in general. In this talk I will review some of the classical history of this problem and present some recent advances in the non-linear case. The talk will report on joint work with Christin Bibby, Alessio D'Alì, Noriane Girard, Giovanni Paolini, Sonja Riedel.
On the K(π, 1) problem for abelian arrangements
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