FB 6 Mathematik/Informatik

Institut für Mathematik


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SS 2019

10.04.2019 um 17:15 Uhr in 69/125

Prof. Dr. Christian Stump (Ruhr-Universität Bochum)

Counting Inversions and Descents of Random Elements in Finite Coxeter Groups 

"Permutation statistics" (this is, assigning numbers to permutations) is a fundamental concept from Combinatorics. Among the most important are the Mahonian and Eulerian numbers given by the number of inversions and by the number of descents. in this talk I report on Mahonian and Eulerian statistics in general finite Coxeter groups by discussing properties of their probability distributions that we exhibited using the Combinatorial Statistics Database FindStat. I will provide uniform formulas for their mean values and variances in terms of Coxeter group data, and I will also discuss the double-Eulerian probability distribution given by the sum of descents and inverse descents. I will finally establish necessary and sufficient conditions for general sequences of finite Coxeter groups of increasing rank for which Mahonian and Eulerian probability distributions satisfy central and local limit theorems. This talk is based on recent collaborations with Thomas Kahle. 

24.04.2019 um 17:15 Uhr in 69/125

Prof. Dr. Marcel Campen (Universität Osnabrück)

Beyond Simplicial: Advanced Discretizations of 3D Domains for Visualization and Simulation

02.05.2019 um 17:15 Uhr in 69/125   Achtung: Donnerstag!

Prof. Dr. Adrian Röllin (National University of Singapore)

TBA

08.05.2019 um 17:15 Uhr in 69/125

Prof. Dr. Annette Huber-Klawitter (Albert-Ludwigs-Universität Freiburg)

News on Period Numbers

Period numbers are complex numbers obtained by integrating a differential form with rational coefficients over a suitable domain of integration, also defined over the algebraic numbers. They are obiquitous in mathematics. Examples are \pi, \log(2), \zeta(3). Their transcendence properties are the object of long-standing conjectures. We report on joint work with Wüstholz, finally settling the case of 1-forms.

15.05.2019 um 17:15 Uhr in 69/125

Prof. Dr. Matthias Köppe (University of California, Davis)

TBA 

22.05.2019 um 17:15 Uhr in 69/125

Prof. Dr. Timo de Wolff (Technische Universität Braunschweig/April 2019)

An Introduction to Nonnegativity and Polynomial Optimization

05.06.2019 um 17:15 Uhr in 69/125

Prof. Dr. Dirk Lorenz (Technische Universität Braunschweig)

Analysis and Algorithms for Optimal Transport

How to move mass or goods from where they are to designated places in the most efficient way? This question was posed in geometrical terms by Gaspard Monge in the 18th century already. In the middle of the 20th century Leonid Kantorovich reformulated to problem in the language of measure theory and developed a solution theory (which actually earned him the Nobel prize in economics in 1975). In recent days there have been an increasing interest in the mathematics of optimal transport and computational tools have been developed which helped to make optimal transport applicable in fields like mathematical imaging, machine learning or inverse problems.

In this talk I will introduce various formulations of optimal transport problems (involving, e.g. dynamics of partial differential equations, minimization problems with static partial differential equations as constraints, linear programming, or matrix scaling). I will shortly speak about the analysis of the problems and then focus on the computational problem of developing practical algorithms. 

12.06.2019 um 17:15 Uhr in 69/125

Prof. Dr. Stefanie Rach (Otto-von-Guericke-Universität Magdeburg)

Mathematiklernen in der Studieneingangsphase

Welche Bedeutung haben individuelle Lernvoraussetzungen für den Studienerfolg im ersten Semester?
Abstract: Beim Übergang vom schulischen Mathematikunterricht in ein Mathematikstudium werden Lernende mit zwei Herausforderungen konfrontiert: Zum ersten müssen Studierende mit der für sie eher unbekannten wissenschaftlichen Mathematik umgehen, zum zweiten müssen sie die präsentierten mathematischen Inhalte häufig selbstständig für ihren eigenen Lernprozess aufbereiten. Welche kognitiven und affektiv-motivationalen Lernvoraussetzungen zur Bewältigung dieser Herausforderungen sinnvoll sind, steht in diesem Vortrag im Vordergrund. Als Diskussionsgrundlage werden Ergebnisse empirischer Studien mit Fach- und gymnasialen Lehramtsstudierenden vorgestellt.

03.07.2019 um 16:00 Uhr 

Prof. Dr. Michael Gnewuch und Prof. Dr. Markus Spitzweck

Antrittsvorlesungen