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Laplacians on Riemann surfaces and Graphs

25.05.2022, 13:30  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Noema Nicolussi (Potsdam)

There are many interesting parallels between analysis on Riemann surfaces and graphs. Both settings admit a Laplace operator and the Poisson equation reflects crucial geometric information.

Motivated by the question of describing the limit of Green functions on degenerating Riemann surfaces, we introduce new and higher rank versions of metric graphs and their Laplace operators. We discuss how these limit objects describe the asymptotics of solutions to the Poisson equation on metric graphs and Riemann surfaces close to the boundary of their respective moduli spaces.

Based on joint work with Omid Amini (Ecole Polytechnique).

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Anschrift

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

Aktivitäten

29.06.2022, 14:00  –  Campus Golm, Haus 9, Raum 2.22 + Zoom
Institutskolloquium

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Marie Farge (ENS, Paris) und Dieter Meschede (DPG, Bonn)

14:00 Marie Farge (ENS, Paris): The Diamond Open Access: a model for researchers and funding agencies to recover control of their articles

14:45 Tee und Kaffee Pause

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29.06.2022, 4:00 pm  –  Golm, Haus 9, Raum 0.17
SIAM Chapter Seminar

Stochastic differential equations - application, simulation and parameter estimation

Jan Martin Nicolaus

Abstract:

Differential equations are ubiquitous throughout most topics of applied mathematics, physics and engineering.

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29.06.2022, 13:30  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Leptin densities in amenable groups

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Abstract: We define a notion of uniform density on translation bounded measures in unimodular amenable locally compact Hausdorff groups, which is based on a group invariant introduced by Leptin in... 

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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

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The spectral theorem provides a powerful tool to study physical systems 
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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)

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