The kernel knows

Abstract: For a graph product of groups, the canonical map to the direct product of the vertex groups has a kernel whose structure is not immediately apparent. Remarkably, this kernel turns out to be oblivious to most of the algebra one builds into the construction, yet it is sensitive to the underlying combinatorics. This has applications to the Baum--Connes conjecture, Brown's question, the Eilenberg-Ganea conjecture and inheritance properties of graph products of groups.

This is joint work with Ian Leary.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.