Solving a problem open for 20 years: Intersection of parabolic subgroups in spherical Artin groups.

Abstract: We solved an important problem from the area of Artin groups and create a new simplicial complex that has been very celebrated and studiedThanks to this result, published in Adv. Math., the solution to the problem has been generalized to other Artin groups using our case as a base case. For this result María Cumplido was awarded with the Vicent Caselles research prize 2020.

Researchers: María Cumplido, Juan González-Meneses. 

Collaborators: Volker Gebhardt (Western Sydney University) , and Bert Wiest (Université de Rennes).

Related project:  MTM2013-44233-P, MTM2016-76453-C2-1-P 

Related publications: https://www.sciencedirect.com/science/article/pii/S0001870819302932?via%3Dihub

iMAT research line:   RL11. Algebra, Geometry and Topology