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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

March 11, 2024 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Emanuele Delucchi (University of Applied Arts and Sciences of Southern Switzerland)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords

  • Artin groups

  • braid groups

  • Coxeter groups

  • reflection groups

  • Garside structures

  • classifying spaces

  • hyperplane arrangements

  • subspace arrangements

  • configuration spaces

  • geometric group theory

  • Matroids

  • cohomology

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

On the K(π, 1) problem for abelian arrangements
Abstract

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.
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On the K(π, 1) problem for abelian arrangements

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