Deformed G2-instantons

Início: 03/09/2020 17:00

Término: 03/09/2020 18:00

Palestrante: Jason Lotay (University of Oxford)

E-mail do Palestrante:

Resumo: 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 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.