Homotopy type of the free factor complex

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• Radhika Gupta (Technion)
• Friday 06 July 2018, 13:00-14:00
• MR15.

If you have a question about this talk, please contact Richard Webb.

The mapping class group of a surface acts on the curve complex which is known to be homotopy equivalent to a wedge of spheres. In this talk, I will define the ‘free factor complex’, an analog of the curve complex, on which the group of outer automorphisms of a free group acts. This complex has many similarities with the curve complex. I will present the result (joint with Benjamin Brück) that the free factor complex is also homotopy equivalent to a wedge of spheres.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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