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Prime ends for domains in metric measure spaces and their use in potential theory and QC theory
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Classroom Contents
Mathematical Analysis - Stable and Unstable Spectral Inequalities, Geometric Analysis, and Differential Equations
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- 1 Videoconference: Stable and unstable spectral inequalities
- 2 Videoconference: Lambdas, bubbles, and spheres
- 3 Videoconference: L^P Norms Via Geodesic Beams
- 4 Videoconference: Viscosity limits for 0th order operators
- 5 Videoconference: Spectral asymptotics for stationary spacetimes
- 6 Videoconference: Homogenization of Steklov problems with applications to sharp isoperimetric bounds
- 7 Videoconference: Holomorphic motions, conformal welding and capacity
- 8 Videoconference: A quantification of the Besicovitch projection theorem and its generalizations
- 9 Videoconference: Bourgain-Brezis inequalities, applications and more
- 10 Scattering theory for differential forms and its relation to cohomology (videoconference)
- 11 Singularity formation in Black Hole interiors (videoconference)
- 12 Liouville theorems for the Navier-Stokes equations
- 13 The spectral gap of a random hyperbolic surface
- 14 Perturbed Haar function expansions
- 15 Restriction of eigenfunctions to sparse sets on manifolds
- 16 Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
- 17 On Controllability of Waves and Geometric Carleman Estimates
- 18 Strangling of the fundamental gap in hyperbolic space
- 19 Optimal domains for the first curl eigenvalue
- 20 On the stable rank of algebras of bounded holomorphic functions
- 21 Boundedness and continuity for rearrangements on spaces defined by mean oscillation
- 22 Entropy production in nondegenerate diffusions: large times and small noises
- 23 Ergodic theorems along trees
- 24 Locally dissipative solutions of the Euler equations
- 25 Various formulations and approximations of incompressible fluid motion in porous media
- 26 Multi-scale analysis of Jordan curves
- 27 Ergodic properties of eigenfunctions
- 28 Failure of approximation of odd functions by odd polynomials
- 29 Control of eigenfunctions on negatively curved surfaces
- 30 A Funk perspective on convex geometry
- 31 Integrated density of states of the periodic Airy-Schrödinger operator
- 32 On Stationary Solutions to the Stochastic Heat Equation
- 33 Towards optimal spectral gaps in large genus
- 34 Prime ends for domains in metric measure spaces and their use in potential theory and QC theory
- 35 BV functions and some functional inequalities on nested fractals
- 36 On measure theoretic projection bodies
- 37 Some results on harmonic maps with free boundary and beyond
- 38 The extremal length systole of the Bolza surface
- 39 Kevin Pilgrim: Conformal surface embeddings and extremal length
- 40 Blake Keeler: The Two-Point Weyl Law on Manifoods without Conjugate points
- 41 Norm Levenberg: Zeros of Random Polynomial Mappings in several complex variables
- 42 Stefano Decio: Zeros of sums of eigenfucntions
- 43 Alvaro Romaniega: Nodal Sets of Monochromatic waves from a deterministic and random point of view
- 44 Maria Ntekoume: Critical well-posedness for the derivative nonlinear Schrödinger equation onthe line
