# Topology Seminar

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Wed., Oct. 23, 2019 5:00 p.m.
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Location: Classroom Building (CL) 251
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**Speaker:** Martin Frankland

**Title:** Homotopy automorphisms

**Abstract: **Automorphism groups arise in many contexts. For instance, the automorphism group of the set of n elements is the symmetric group Σ_{n} on n elements. The automorphism group of an n-dimensional vector space is the general linear group GL(n), consisting of invertible n x n matrices.

In a homotopical context, what should the analogous notion be? Taking the automorphism group in the homotopy category loses too much information. In this talk, I will explain how the hammock localization can be used to construct a space of homotopy automorphisms with good properties.