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PhD course: Geometric Group Theory (First meeting)

Time: Fri 2021-01-22 15.15

Location: Zoom, meeting ID: 692 9715 9787

Participating: Sven Raum

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Summary

This course will introduce the audience to different aspects of contemporary research in geometry group theory. The starting point is the introduction of the Cayley graph of a finitely generated group and geometric notion of quasi-isometry. Subsequently, four different topics are discussed:

  • Growth in groups and Gromov’s theorem on virtually nilpotent groups

  • Hyperbolic groups and the Gromov boundary

  • Ends and Stalling’s theoremAmenability

The subject of geometric group theory displays lively interaction with many other areas of mathematics, such as algebraic topology, combinatorial group theory, Lie groups and operator algebras.

Course page: https://kurser.math.su.se/course/view.php?id=966

Zoom meeting ID: 692 9715 9787
Password: The last name of the father of geometric group theory. He was the 2009 Abel Laureate.