Oberseminar Differentialgeometrie: Gustav Nilsson (AEI Potsdam), Vortrag: Topology of Toric Gravitational Instantons
Monday, 05.06.2023 16:15 im Raum SRZ 214
For an asymptotically locally Euclidean (ALE) or asymptotically locally flat (ALF) gravitational instanton (M,g) with toric symmetry, we express the signature of (M,g) directly in terms of its rod structure. Applying Hitchin?Thorpe-type inequalities for Ricci-flat ALE/ALF manifolds, we formulate necessary conditions that the rod structures of toric ALE/ALF instantons must satisfy, as a step toward a classification of such spaces. Finally, we apply these results to the study of rod structures with three turning points.
Dr. Bjoern Bringmann (Princeton University): The Wave Maps Equation and Brownian Paths. Kolloquium Partial Differential Equations
Tuesday, 06.06.2023 14:15 im Raum SRZ 203
We discuss the (1+1)-dimensional wave maps equation with values in a compact Riemannian manifold M. Motivated by the Gibbs measure problem, we
consider Brownian paths on the manifold M as initial data. Our main theorem
is the probabilistic local well-posedness of the associated initial value problem. The analysis in this setting involves analytic, geometric, and probabilistic aspects.
This is joint work with J. Lührmann and G. Staffilani.
Prof. Dr. Gianni Dal Maso (SISSA, Trieste): New results on homogenisation of free discontinuity problems. Kolloquium Partial Differential Equations
Tuesday, 06.06.2023 15:30 im Raum SRZ 203
We study deterministic and stochastic homogenisation problems for free discontinuity functionals under new hypotheses on the surface energies. The results are based on a compactness theorem with respect to Gamma-convergence, on the characterisation of the integrands of the Gamma-limit by means of limits of minimum values of some auxiliary minimum problems on small cubes, and on the subadditive ergodic theorem for the stochastic part.
March Boedihardjo (ETH Zürich): Spectral norm and strong freenes. Oberseminar C*-Algebren.
Tuesday, 06.06.2023 16:15 im Raum SRZ 216/217
We give a non-asymptotic estimate for the spectral norm of a large class of random matrices that is sharp in many cases. We also obtain strong asymptotic freeness for certain sparse Gaussian matrices. Joint work with Afonso Bandeira and Ramon van Handel.
Angelegt am Thursday, 12.01.2023 11:54 von elke
Geändert am Wednesday, 10.05.2023 09:19 von elke
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