MSU Geometric Analysis Reading seminar

The classic positive mass theorem for asymptotically flat manifolds:

On Witten's proof of the positive energy theorem. Thomas Parker, Clifford Taubes

For computations and theory related to the boundary term (when integrating the Weitzenbock formula), particularly when an asymptotically flat manifold has an inner boundary:

Boundary value problems for Dirac--type equations, with applications. P.T. Chrusciel, R. Bartnik

More work on analyzing boundary terms in the asymptotically flat context:

A Penrose-like Inequality for the Mass of Riemannian Asymptotically Flat Manifolds. Marc Herzlich

The positive mass theorem for black holes revisited. Marc Herzlich

Using harmonic spinors to analyze the positivity of quasi-local mass (see Shi-Tam for the original proof):

COMPACT APPROACH TO THE POSITIVITY OF BROWN-YORK MASS AND RIGIDITY OF MANIFOLDS WITH MEAN-CONVEX  BOUNDARIES IN FLAT AND SPHERICAL CONTEXTS.  SEBASTIÁN MONTIEL

Nonlinear potential theory and the Penrose inequality: 

Riemannian Penrose inequality via Nonlinear Potential Theory, Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri, Francesca Oronzio 

Stability of the 3d positive mass theorem: 

Stability of Eulidean 3-space for the positive mass theorem, Conghan Dong and Antoine Song

Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds, Conghan Dong

Computing the Yamabe invariant of 3d real projective space:

The Yamabe Invariant of RP^3 via Harmonic Functions, Liam Maxurowski, Xuan Yao

Band inequalities via the Dirac operator:

Scalar and mean curvature comparison via the Dirac operator, Simone Cecchini, Rudolf Zeidler

Band width estimates via the Dirac operator, Rudolf Zeidler

Band inequalities via \mu-bubbles and other applications:

Four Lectures on Scalar Curvature, Misha Gromov

d_p distance, stability, and scalar curvature lower bounds via Ricci flow:

d_p convergence and \epsilon-regularity theorems for entropy and scalar curvature lower bounds, Man-Chun Lee, Aaron Naber, Robin Neumayer

Counterexamples to the Milnor conjecture:

Fundamental Groups and the Milnor Conjecture, Elia Brue, Aaron Naber, Daniele Semola

Isometric embeddings of Moebius bands:

The Optimal Paper Moebius Band, Richard Schwartz

New obstructions to positive curvature:

On the first and second homotopy groups of manifolds with positive curvature, Richard Schoen

The multiplicity one conjecture for the mean curvature flow:

On the multiplicity one conjecture for mean curvature flows of surfaces, Richard Bamler and Bruce Kleiner

Uniqueness of asymptotically AdS static vacuum spacetimes

On the Geometry and MAss of Static, Asymptotically AdS Spacetimes, and the Uniqueness of the AdS Soliton, Galloway, Surya, and Woolgar

Maximum Principles for Null Hypersurfaces and Null Splitting Theorems, Galloway