# Program

Geometry, PDE, and Relativity are subjects that have shown intriguing interactions in the past several decades, while simultaneously diverging, each with an ever growing number of branches. Recently, several major breakthroughs have been made in each of these fields using techniques and ideas from the others.
This program is aimed at connecting various branches of Geometry, PDE, and Relativity and at enhancing collaborations across these disciplines and will include four main topics: Geometric Flows, Geometric problems in Mathematical Relativity, Global Riemannian Geometry, and Minimal Submanifolds. Specifically the program focuses on a central goal, which is to advance our knowledge toward Riemannian (sub)manifolds under geometric conditions, such as curvature lower bounds, by developing techniques in, for example, geometric flows and minimal submanifolds and further fostering new connections.

**Keywords and Mathematics Subject Classification (MSC)**

**Tags/Keywords**

geometric analysis

general relativity

differential geometry

Riemannian geometry

calculus of variations

partial differential equations

**Primary Mathematics Subject Classification**

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

August 21, 2024 - August 23, 2024 | Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis |

August 26, 2024 - August 30, 2024 | Introductory Workshop: New Frontiers in Curvature |

October 21, 2024 - October 25, 2024 | Recent progress on geometric analysis and Riemannian geometry |