Pranab Sardar
IISER Mohali
December 5, 2024
Acylindrical complexes of hyperbolic groups and Cannon-Thurston maps: Suppose we have a simple complex of hyperbolic groups whose universal cover (alternatively called `development') is hyperbolic. It is hard in general to find additional conditions under which the fundamental group, say G, of the complex of groups is hyperbolic. It is known, by the work of Alexandre Martin, that if (1) it is a negatively curved and (2) an acylindrical complex of groups then G is hyperbolic. In this talk, we discuss when the Cannon-Thurston map for a subgroup H of G exists in case H is the fundamental group of a subcomplex of groups of the given complex of groups.
IISER Mohali
December 5, 2024
Acylindrical complexes of hyperbolic groups and Cannon-Thurston maps: Suppose we have a simple complex of hyperbolic groups whose universal cover (alternatively called `development') is hyperbolic. It is hard in general to find additional conditions under which the fundamental group, say G, of the complex of groups is hyperbolic. It is known, by the work of Alexandre Martin, that if (1) it is a negatively curved and (2) an acylindrical complex of groups then G is hyperbolic. In this talk, we discuss when the Cannon-Thurston map for a subgroup H of G exists in case H is the fundamental group of a subcomplex of groups of the given complex of groups.