Characterizing graph properties via RAAGs

Abstract: In the last years, thorough research has been conducted in order to understand graph properties in terms of group properties of the associated right-angled Artin group (RAAG). These properties should be intrinsic, in the sense that they should not depend on a concrete system of generators of the group. In this talk, we will give a general review of the topic, with emphasis on planarity, self-complementarity, and existence of surjections. In particular, we will highlight the crucial role of the cohomology algebra of the group in our approach.

This is joint work with Delaram Kahrobaei (CUNY New York) and Thomas Koberda (Virginia).

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( slides )

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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.

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