

Ringvorlesung
- Lecturer: IMPRS Faculty, Daniela Cadamuro, Angkana Rüland, Matteo Smerlak
- Date: Friday 09.15-11.00 (Rüland) 09.30-11.00 (Cadamuro) 09.15-11.00 (Smerlak) Exercice classes: Friday 11.00-12.00
- Room: MPI MiS G3 10
- Audience: IMPRS students, Phd students, postdocs
- Keywords: Scattering theory, Calder'on Problem, Evolutionary dynamics
Abstract
Part A by Angkana Rüland (25.10., 01.11., 08.11.,15.11.):
The Calder'on Problem -- A Prototypical Inverse Problem
Exercise classes only on 25.10. and 08.11.
Part B by Daniela Cadamuro (22.11., 29.11., 13.12. 20.12.):
Scattering Theory
This course offers an introduction to the mathematical and foundational aspects of scattering theory in quantum mechanics. We consider the one-dimensional Schrödinger operator on the line with a multiplicative potential, and present some facts about both the forward and inverse scattering problems. In the first case one studies the properties of the scattering matrix (and of the Møller operators) depending on those of the potential, while in the second case one determines the potential from scattering data, such as the reflection coefficient.
As an application, we consider the stability of "quantum inequalities" under scattering, which is relevant in physics, for example for the phenomenon of "quantum backflow".
IMPRS student lecture (06.12., 10.30 o'clock)
Sharwin Rezagholi: Symbolic dynamics and cellular automata
Symbolic dynamics is a subfield of dynamical systems and theoretical computer science where elementary parts of topology, algebra, and discrete mathematics meet in a beautiful way. This minicourse will cover the central definitions and results, such as shifts, subshifts, shifts of finite type, cellular automata, and entropy/word complexity. There are no prerequisites.
IMPRS student lecture (10.01. , 09.30)
Felix Gaisbauer: A brief introduction to opinion dynamics and a model of opinion expression
I will give a very short introduction to opinion dynamics, including the Ising model and the voter model. I will then turn to a model our group is currently developing, which does not investigate opinion change, but public opinion expression. I will present a game-theoretic as well as a dynamical systems approach to opinion expression. There are no prerequesites.
Part C by Matteo Smerlak (17.01., 24.01., 31.01., 07.02., 9.15 ): Evolutionary dynamics
Regular lectures: Winter semester 2019/2020
- Topics in the Regularity Theory for Elliptic and Parabolic PDE's
- Renan Assimos Martins, Jonas Hirsch, Aleksander Klimek, Konstantinos Zemas
- Wednesdays, 15-17, MPI MiS A3 02
- Littlewood-Paley theory in PDEs
- Jan Burczak, Jonas Hirsch
- Thursdays, 15:15- 16:45, Leipzig University, Augusteum, A-314
- Seven Lectures in Algebraic Statistics
- Eliana Duarte, Orlando Marigliano
- Monday 13:00 to 14:30, starting October 21, MPI MiS G3 10
- Introduction to stochastic thin film equations
- Benjamin Gess
- Mo, 16:15-17:45, MPI MiS A3 01
- Introduction to game theory
- Jules Hedges
- Tuesday, 11.15-12.45, MPI MiS A3 02
- Introduction to Homogenization
- Marc Josien
- Tuesday, 9h15-10h45, MPI MiS A3 02
- Mathematical Topics in Neuroscience
- Jürgen Jost
- Fr 1.30pm, MPI MiS A3 01
- Nonlinear Algebra
- Mateusz Michałek
- Monday, 9.30, MPI MiS G3 10
- Logarithmic Sobolev Inequality
- Felix Otto
- Thursday, 09.15-11.00, MPI MiS A3 01
- Optimierung I
- André Uschmajew
- Tue 15:15 - 16:45, Wed 15:15 - 16:45, Leipzig University, Hs 5 (Tue), Hs 19 (Wed)
- Ringvorlesung
- IMPRS Faculty, Daniela Cadamuro, Angkana Rüland, Matteo Smerlak
- Friday 09.15-11.00 (Rüland) 09.30-11.00 (Cadamuro) 09.15-11.00 (Smerlak) Exercice classes: Friday 11.00-12.00, MPI MiS G3 10