Johns Hopkins UniversityEST. 1876
America’s First Research University
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Title: Stability for relativistic fluids on slowly expanding cosmological spacetimes Abstract: On a background Minkowski spacetime, the Euler equations (both relativistic and not) are known to admit unstable homogeneous solutions with finite-time shock formation. Such shock formation can be suppressed on cosmological spacetimes whose spatial slices expand at an accelerated rate. However situations with decelerated […] |
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Title: Morse theory for the area functional Abstract: Morse theory is a powerful tool for analyzing the topology of a manifold by studying the critical points of a smooth function. The theory constructs Morse homology from the space of gradient flow trajectories, which provides a topological invariant that is isomorphic to singular homology. In this talk, […] |
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Title: The hot-cold distance Abstract: Given a solution to the heat equation on a Euclidean domain, Riemannian manifold, or discrete graph, it is natural to ask where the hottest and coldest points are located over large time scales. Rauch's hot spots conjecture states that, in the Euclidean setting with Neumann boundary conditions, these points should all tend […] |
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Title: Singularity Formation in the Incompressible Porous Medium Equation without Boundary Mass Abstract: In this talk, I will discuss recent work on the problem of singularity formation in the incompressible porous medium (IPM) equation. We construct Lipschitz continuous solutions of the IPM equation which vanish on the boundary of the domain and blow-up in finite […] |
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Title: from Cones to cylinders: asymptotic geometry of Ricci flat manifolds with linear volume growth. Abstract: The uniqueness of infinity plays a crucial role in understanding solutions to geometric PDEs and the geometric/topological properties of manifolds with Ricci curvature lower bounds. A major progress is made by Colding—Minicozzi who studied one type of infinity, called the asymptotic cones, […] |
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Title: Convergence of a Sequential Monte Carlo algorithm towards multimodal distributions.Abstract: We study a sequential Monte Carlo (SMC) algorithm to sample from the Gibbs measure with a non-convex energy function at a low temperature. Sampling from multimodal distributions is a challenge that the classical algorithms become extremely slow, for example, the time complexity of obtaining good […] |
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09:10Fatemehzahra Janbazi (Toronto): Finiteness theorems in arithmetic statistics.09:55 Coffee break.10:15Fangu Chen (Berkeley): A generalization of Elkies’ theorem on infinitely many supersingular primes.11:10Hazem Hassan (McGill): p-adic higher Green's functions for Stark–Heegner cycles.12:00 Lunch break.13:30Yu Luo (Wisconsin): Geometric and arithmetic Siegel–Weil formula.14:25Mikayel Mkrtchyan (MIT): Higher Siegel–Weil formula over function fields: corank-1 Fourier coefficients.15:10 Coffee break.15:40Esme Rosen (Louisiana […] |