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Rigidity of the spectral gap for non-negatively curved RCD spaces

07.12. bis 07.12.2021, 12:15-13:45  –  room C9A03 Tübingen, room 2.09.2.22 Golm
Geometric Analysis, Differential Geometry and Relativity

Christian Ketterer

Rigidity of the spectral gap for non-negatively curved RCD spaces

First I will review results about the connection between spectral estimates and Ricci curvature for Riemannian manifolds and metric measure spaces. In particular for non-negatively curved spaces the spectral gap is $(\pi/diam)^2$. Moreover, an RCD(0,N) space has first Laplace eigenvalue equal to $(\pi/diam)^2$ if and only if it is a circle or an interval. This is joint work with Yu Kitabeppu and Sajjad Lakzian.
 

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Anschrift

Universität Potsdam
Institut für Mathematik
Campus Golm, Haus 9
Karl-Liebknecht-Str. 24-25
D-14476 Potsdam

Aktivitäten

30.06. bis 30.06.2022, 14:00-16:00  –  C6H05 Tübingen, 2.09.2.22 Campus Golm
Geometric Analysis, Differential Geometry and Relativity

The MOTS-stability spectral problem: when `non-normal' is generic

José Luis Jaramillo

The spectral theorem provides a powerful tool to study physical systems 
controlled by a self-adjoint or, more generally, normal operator. The situation changes  qualitatively when the normal... 

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01.07.2022, 10:30 - 11:30  –  Campus Golm, Building 28, Room 0.108
SFB-Kolloquium

Additional SFB Colloquium with Mercator Fellows Sean Meyn and Youssef M. Marzouk

Sean Meyn (University of Florida) and Youssef M. Marzouk (MIT)

A Not So Random Walk around Extremum Seeking Control  - Sean Meyn

How can you optimize a function based on observations, without any way of computing a gradient? Kiefer and Wolfowitz proposed a... 

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01.07.2022, 11:00  –  Golm, Haus 9, 2.22 und online
Arbeitsgruppenseminar Analysis

Orthogonal and special linear invariants of paths via the iterated-integral signature

Rosa Preiss (University of Potsdam)

Looking at the action of the orthogonal group on a path in a finite dimensional real vector space, we apply Fels-Olver’s moving frame method paired with the log-signature transform to construct a set... 

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04.07.2022, 10:00  –  Campus Golm, 2.09.2.22 (hybrid)
Forschungsseminar Statistik

About a data-based tight frame

Franziska Göbel

Function systems are widely used in mathematics to adress various questions like approximation, compressing and denoising of functions. Famous examples are the Fourier basis and wavelets which are... 

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06.07.2022, 13:30  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

TBA (Xueping Huang)

Xueping Huang (Nanjing University)

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