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# Gonçalo Oliveira : Gauge theory on Aloff-Wallach spaces

I will describe joint work with Gavin Ball where we classify certain G2-Instantons on Aloff-Wallach spaces. This classification can be used to test ideas and explicitly observe various interesting phenomena. For instance, we can: (1) Vary the underlying structure and find out what happens to the G2-instantons along the way; (2) Distinguish certain G2-structures (called nearly parallel) using G2-Instantons; (3) Find G2-Instantons, with respect to these structures, which are not absolute minima of the Yang-Mills functional.

**Category**: Geometry and Topology**Duration**: 01:34:58**Date**: January 22, 2019 at 3:10 PM-
**Tags:**seminar, Geometry/topology Seminar

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