Deformed G2 instantons

Abstract: Deformed G2-instantons are special connections occurring in G2 geometry in 7 dimensions. They arise as “mirrors” to certain calibrated cycles, providing an analogue to deformed Hermitian-Yang-Mills connections, and are critical points of a Chern-Simons-type functional. I will describe an elementary construction of the first non-trivial examples of deformed G2-instantons, and their relation to 3-Sasakian geometry, nearly parallel G2-structures, isometric G2-structures, obstructions in deformation theory, the topology of the moduli space, and the Chern-Simons-type functional.

differential geometry

Audience: researchers in the topic

Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home