Embedded Files
SCGP Convergence and Low Regularity in General Relativity
April 29 - May 3, 2019
Organized by: Philippe LeFloch, Jeff Jauregui, Mike Anderson, Christina Sormani
Official Website: http://scgp.stonybrook.edu/archives/25455
To truly address the many open questions that persist in Mathematical General Relativity, one cannot restrict oneself to smooth metrics and strong notions of convergence. One must apply Lebesgue, Sobolev, Sormani-Wenger Intrinsic Flat, and possibly Gromov-Hausdorff convergence to handle sequences of manifolds that naturally arise when studying notions of mass. These weak notions of convergence and perhaps others are needed to rigorously define stability and almost rigidity in both Riemannian and Lorentzian General Relativity. It has become increasingly important to define low regularity metrics and explicitly describe how they may be considered as having nonnegative scalar curvature, or more generally satisfying Einstein’s Equation or the Constraint Equations. This workshop brings together geometers with results on convergence in low regularity with geometric analysts specializing in low regularity general relativity.
Schedule below and on the Official Website: http://scgp.stonybrook.edu/archives/25455
Note that all talks will be held in rooms with sliding blackboards and so everyone is encouraged to give blackboard talks. Projector talks are fine as well.
Tentative Schedule: (all talks are in SCGP 102 including the two colloquia)
Mon 4/29
9-10 Sormani ``Introduction'' (slides)
10-10:30 tea
10:30-11:00 Cabrera ``On the stability of the positive mass theorem for asymptotically hyperbolic graphs''
11:15-11:45 Ozuch ``Noncollapsed degeneration of Einstein 4-manifolds''
12:00-12:30 An “Ellipticity of Bartnik boundary data for vacuum spacetimes”
12:45-2:15 lunch
2:15-2:45 Wang ``Compactness Theorem for Rotationally Symmetric Riemannian Manifolds with Positive Scalar Curvature Part I"
3:00-3:30 Tian ``Compactness Theorem for Rotationally Symmetric Riemannian Manifolds with Positive Scalar Curvature Part II''
3:30-4:00 tea
4:00-5:00 Sakovich ``Low regularity aspects of the Jang equation''
Tu 4/30
9-10 Zeghib ``Conformal groups of pseudo-Finsler structures''
10-10:30 tea
10:30-11:00 Ketterer ``Flat and intrinsic flat convergence of graphical tori with lower scalar curvature bounds. Part I''
11:15-11:45 Perales ``Flat and intrinsic flat convergence of graphical tori with lower scalar curvature bounds. Part II”
11:45-1:00 lunch
1:00-2:00 SCGP Colloquium by LeFloch ``A geometric analysis view on spacetimes: stability and singularities''
2:15-2:45 Beheshti “Well posed viscous cosmology” (slides)
3:00-3:30 Kazaras ``4-dimensional cobordisms of positive scalar curvature and metric singularities''
3:30-4:00 tea
4:00-5:00 Mondino ``An optimal transport formulation of the Einstein equations of general relativity''
Wed 5/1
9:00-10:00 Dai ``Entropy Rigidities for RCD Space''
10:00-10:30 tea
10:30-11:30 Alexander ``Alexandrov geometry for Lorentzian-pseudometrics''
11:45-12:45 Harris ``Simple Characterization of the Causal Boundary and Continuous Extension of the Spacetime Metric''
12:45-2:15 lunch
2:15-2:45 Saemann ``Lorentzian length spaces''
3:00-3:30 Ling ``Spacetime Extensions of the Big Bang''
3:30-4:00 tea
4:00-5:00 Maxwell ``The Conformal Method in Low Sobolev Regularity''
Th 5/2
9-10 Bruno LeFloch “Global evolution of self-gravitating matter in T^2 symmetry”
10-10:30 tea
10:30-11:30 Chao Li. “Constrained deformations of manifolds with positive scalar curvature metrics”
11:45-12:45 Honda ``Embedding of metric measure spaces in L^2 via heat kernel''
12:45-2:15 lunch
2:15-2:45 Kiessling ``The Einstein-Infeld-Hoffmann legacy in mathematical relativity''
3:00-3:30 Burtscher ``Energy-momentum conservation for spacetimes with singularities''
3:30-4:00 tea
4:00-5:00 Math Colloquium Wei ``Semi-local simple connectedness of non-collapsing Ricci limit spaces''
Banquet Thursday at 6pm
Fri 5/3
9-10 Bourni ``Null mean curvature flow and marginally outer trapped surfaces."
10-10:30 tea
10:30-11:30 Khuri ``Stationary Vacuum Black Holes in Higher Dimensions''
11:45-12:45 Lee “Lower semicontinuity of ADM mass under Sormani-Wenger convergence”
12:45-2:15 lunch
2:15-3:15 Tahvildar-Zahde ``Quantum Laws of Motion for Singularities of Spacetime''
3:30-4:00 tea
4:00-5:00 Huang “Spacetime Positive Mass Theorem” (video)
Google Sites
Report abuse