Tangent cones of Yang-Mills connections with applications to G2 instantons

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Adam Jacob
UC Davis
Tue, 02/27/2018 - 4:00pm - 5:00pm
Zhiqin Lu
RH 306

The study of tangent cones in geometric analysis is an important tool in understanding the structure at a singular point of a geometric equation. In this talk I will discuss how to uniquely identify the tangent cone of a Yang-Mills connection with isolated singularity in the complex setting, given an initial assumption on the complex structure of the bundle. I will then discuss applications to a project with the goal of constructing examples of singular G2 instantons, using the twisted connected sum construction. This is joint work with H. Sa Earp and T. Walpuski.