Gauge theory on Aloff-Wallach spaces

Geometry/topology Seminar

Gonçalo Oliveira (Universidade Federal Fluminense, GMA-Instítuto de Matemática)

Tuesday, January 22, 2019 -
3:15pm to 4:15pm
Location: 
119 Physics

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.

Last updated: 2019/03/18 - 2:19pm