

Recent developments in discrete Ricci curvature
- Lecturer: Florentin Münch
- Date: Wednesday, 15.00
- Room: MPI MiS A3 01
- Keywords: graphs, curvature, heat equation
- Prerequisites: Basic analysis and linear algebra
Abstract
In this lecture, we give an overview of recent developments concerning discrete Ricci curvature. Discrete Ricci curvature has proven to be a useful tool in network analysis. It has been applied for detecting local clusters within a network and for finding most important connections between two nodes. The course focuses on the theoretical background of discrete Ricci curvature. Particularly, we study relations between curvature bounds, random walks and the heat equation. As applications, we can estimate the spectral gap of the graph Laplacian and derive geometric properties as diameter bounds, Gaussian measure concentration and volume growth in terms of the curvature.To keep informed about changes to this lecture subscribe to lecture mailinglist
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Regular lectures: Summer semester 2022
- Representation theory of finite groups
- Arthur Bik
- Thursdays 7:30-9:00 and Fridays 9:15-10:45, SG 3-10
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- Bielefeld-Leipzig online seminar: Mathematics of Machine Learning
- Benjamin Gess
- Wednesdays 16:15-17:45, Videobroadcast
- Mathematical methods in biology and neurobiology
- Jürgen Jost
- Friday, 14.00, MPI MiS E1 05 (Leibniz)
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- Tropical Probability Theory
- Rostislav Matveev
- Wednesday, 11.00-12.30, MPI MiS A3 02
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- Non-backtracking operators of graphs
- Raffaella Mulas, Leo Torres
- Mondays at 3pm, starting May 2, MPI MiS A3 01
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- Recent developments in discrete Ricci curvature
- Florentin Münch
- Wednesday, 15.00, MPI MiS A3 01
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- First-order and online optimization methods
- Katerina Papagiannouli, André Uschmajew
- Lectures: Tuesdays 11:00-12:30, Exercises (biweekly): Tuesdays 14:00-15:00, MPI MiS G3 10
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- Spin Glasses
- Tobias Ried
- tba, Videobroadcast
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- IMPRS Ringvorlesung
- Lecturers: Bernd Rosenow, Felix Otto, Sayan Mukherjee
- Date: usually Thursdays (starting 7.4.2022), 9.15 - 10.45, see schedule for divergent dates and times and more info
- Room: MPI MiS, Leibniz-Hörsaal, also hybrid
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