This was a special session on new developments in Differential Geometry held March 20--21, 2021 at the Spring Eastern Regional AMS Sectional Meeting virtually at Brown University. The special session brought together geometers and geometric analysts to share ideas and recent results. Topics represented at the special session included metric geometry, curvature flows, geometric PDEs, isometric group actions, spectral geometry, spaces with curvature bounded from below, and their interactions.
Co-organizers: Megan Kerr, Wellesley College, Catherine Searle, Witchita State University
Links to many of the talk slides can be found below.
SATURDAY
Anusha Krishnan: Prescribing Ricci curvature on a product of spheres
Ramesh Sharma: Constant scalar curvature gradient Ricci soliton carrying a closed conformal vector field
John Harvey: Positively curved Riemannian 4-orbifolds with positive curvature
Adam Moreno: Core Reduction for Singular Riemannian Foliations in Positive Curvature
Renato Bettiol: Pinched 4-manifolds
Emily Proctor: Approximating and prescribing orbifold spectra
Erin Griffin: Gradient Ambient Obstruction Solitons on Homogeneous Manifolds
William Wylie: Rigidity of Homogeneous Gradient Soliton Metrics and Related Equations
Haydee Contreras Peruyero: Quasi-isometric rigidity in cusp-decomposable manifolds
SUNDAY
Regina Rotman: Quantitative Serre's theorem on closed Riemannian manifolds
Isabel Beach: The length of the shortest closed geodesic on a surface of finite area
Lee Kennard: Non-cyclic fundamental groups and the Grove symmetry program
Elahe Khalili-Samani: Positively curved manifolds with discrete symmetry
Christine Escher: Non-negative curvature and torus actions
Romina Arroyo: On the signature of the Ricci curvature on nilmanifolds
Carolyn Gordon: Comparing the Hodge spectra of Riemannian manifolds and orbifolds
Craig Sutton: Towards hearing three-dimensional geometric structures, Part I
Samuel Lin: Towards hearing three-dimensional geometric structures, Part II