Geometry/topology Seminar
Tuesday, September 6, 2016, 4:30pm, 119 Physics
Yuanqi Wang (Stony Brook University)
A critical elliptic theory and its applications in higher-dimensional gauge theory.

Abstract:

The celebrated result of Lockhart-Mcowen says that on a non-compact complete manifold, an elliptic operator (with proper asymptotic conditions) is Fredholm between weighted Sobolev spaces if and only if the weight is not an indicial root. We show that a proper weighted Sobolev-theory exists even when the weight is an indicial root. We also discuss some applications to singular $G_{2}-$instantons which converges to their tangent cones in polynomial rates. [video]

---

Generated at 7:23pm Thursday, April 18, 2024 by Mcal.   Top * Reload * Login