We will have a double session of the seminar at the same time as the Hyperbolic Groups course:
Wednesday June 3rd, Room 005, FME, Campus Sud UPC
First Talk, 11:00
Speaker: José Manuel Higes López, Universidad Complutense de Madrid
Title: The coarse classification of countable abelian groups
Abstract: We will show the classification of countable abelian groups up to coarse equivalence. As an application we will use this result to detect which groups are coarsely equivalent to countable abelian groups. Joint with T. Banakh, I. Zarichnyi.
Second talk, 12:00
Speaker: Lars Louder, University of Michigan
Title: Graphs of subgroups of free groups
Abstract: We will develop, using Stallings' folding, graphs of groups, and a process called "blowing up," a simple topological model for representing graphs of subgroups of free groups. Applications to be discussed include simple proofs of some old results of combinatorial group theory. Generalizations of the technique and of these seemingly simple ideas to limit groups are important in the dimension theory for algebraic varieties defined over the free group.
