Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis: When is an Alexandrov space smoothable?
Presenter
August 21, 2024
Keywords:
- Riemannian geometry
- curvature
- geometric flow
- special holonomy
- Minimal surface
- general relativity
MSC:
- 32-XX - Several complex variables and analytic spaces {For infinite-\newline dimensional holomorphy
- see also 46G20
- 58B12}
- 53-XX - Differential geometry {For differential topology
- see 57Rxx
- for foundational questions of differentiable manifolds
- see 58Axx}
- 58-XX - Global analysis
- analysis on manifolds [See also 32Cxx
- 32Fxx
- 32Wxx
- 46-XX
- 53Cxx] {For nonlinear operators
- see 47Hxx
- for geometric integration theory
- see 49Q15}
- 83-XX - Relativity and gravitational theory
Abstract
In this talk, I will discuss the problem of when an Alexandrov space is smoothable. I will review the history of this question and discuss a new result that partially answers it. This is joint work with Pedro Solórzano and Fred Wilhelm.