Newsarchiv: Kolloquium
Jahr 2025
03.07.2025
Kolloquium
Vortragender: Dr. Stephan Mescher (Universität Halle)
"On topological and geodesic complexities of manifolds“
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1
Abstract:
In this talk, I want to outline the contents of my habilitation proposal to the institute, which I would to submit to the faculty in the near future. I will give an overview of my research projects from the previous years. Topological complexity (TC), as introduced by M. Farber in 2003, is an integer-valued homotopy invariant of topological spaces that is motivated by the motion planning problem from robotics. After a short introduction to topological complexity (TC), I will first present lower bounds on topological complexities of closed manifolds. As consequences of these bounds, we obtain a characterization of manifolds dominated by products in terms of TC as well as a computation of the TC of certain symplectic manifolds. I will also discuss the TC of frame bundles and explain how it can be seen as an abstraction of oriented motion planning. Afterwards, I will talk about geodesic complexity, an abstraction of motion planning along paths of minimal length. Several results on the geodesic complexity of homogeneous Riemannian manifolds, obtained by M. Stegemeyer and myself, will be discussed.
Moreover, I will present spherical complexities, which are invariants for loop and sphere spaces that resemble topological complexity and which can be used to obtain topological lower bounds for the number of critical orbits of functionals on loop and sphere spaces which are invariant under orthogonal reparametrizations. I will also show how to apply such a bound to derive several new existence results for closed geodesics in spheres and projective spaces under curvature pinching conditions. If time permits, I may also speak about results on algebraic characterizations of the TC of aspherical spaces in terms of their fundamental groups.
28.10.2025
Kolloquium
Vortragender: Prof. Colm Mulcahy (Professor Emeritus, Spelman College, Atlanta, USA; Adjunct Professor, SETU Waterford, Ireland)
"Mathemagic with a Deck of Cards"
https://cardcolm.org/halleSHORT.pdf
Beginn: 16:15
Ort: Raum 3.07, VSP 1
Jahr 2024
22. Januar 2026
Kolloquium
Vortragende: Prof. Dr. Jenni Ingram (Universität Oxford)
"Recognising mathematical communication: What counts as mathematical?"
Beginn: 16:15
Ort: Raum 1.04, VSP 1
21. November 2024
Kolloquium
Vortragender: Jun.-Prof. Dr. Thomas Berger (Universität Paderborn)
"Control with safety guarantees"
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1
24. Oktober 2024
Kolloquium
Vortragender: Prof. Dr. Gregor Nickel (Universität Siegen)
"Mathematik und Bildung. Anmerkungen aus historischer und philosophischer Perspektive."
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1
5. Dezember 2024
Weihnachtskolloquium
Vortragender: Prof. Dr. Alberto Abbondandolo (Ruhr-Universität Bochum)
"On symplectic measurements and convexity"
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1
13. November 2024
Kolloquium
Vortragender: Dr. phil. Hauke Straehler- Pohl (FU Berlin)
"Wenn soziale Ungleichheit den Unterschied macht. Milieuspezifische Typen der Umsetzung des Mathematik-Lehrplans"
Beginn: 16:15 Uhr
Ort: HS 1.26, VSP 1
11. April 2024
Gedenkkolloquium
Vortragender: Prof. Dr. Jörg Seeländer (Hochschule Merseburg)
"Professor Dr. habil. Alfred Göpfert: Begegnungen – Mathematisches Wirken in Leipzig und in Merseburg"
Beginn: 16:15 Uhr (ab 15:45 Uhr Kaffee/Tee/Kekse)
05. Februar 2024
Kolloquium in Wittenberg
Vortragender: Dr. Joachim Linn (Fraunhofer ITWM, Abteilungsleiter Mathematik für die digitale Fabrik)
"An interdisciplinary approach to modelling and simulation of highly flexible structures in automotive industry"
Beginn: 16:00 Uhr (ab 15:30 Uhr Kaffee/Tee/Kuchen)
Ort: LEUCOREA Tagungszentrum, Seminarraum 10, Collegienstraße 62, 06886 Lutherstadt Wittenberg
05. Februar 2024
Kolloquium in Wittenberg
Vortragender: Prof. Olivier Brüls, Phd, University of Liège, Belgien
"Numerical simulation of highly flexible slender structures: a scientific perspective"
Beginn: 17:00 Uhr
Ort: LEUCOREA Tagungszentrum, Seminarraum 10, Collegienstraße 62, 06886 Lutherstadt Wittenberg
Jahr 2023
13. Dezember 2023
Weihnachtskolloquium
Vortragender: Prof. Dr. Sayan Mukherjee (Alexander von Humboldt-Professur)
"Form und Zeit"
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1
6. Dezember 2023
Vortragender: Prof. Dr. Jean-Claude Zambrini
"Schrödinger`s 1931-32 problem and the dynamics of the stochastic processes solving it."
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1