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Talk

Tuesday, October 1, 2019 10:00

IMPRS-Ringvorlesung: Winter semester 2019/2020

IMPRS Faculty
Daniela Cadamuro
Angkana Rüland
Matteo Smerlak

G3 10 (Lecture hall)

Abstract

About this lecture
Due to the rather broad spectrum of topics within the IMPRS, the curriculum consists of a core curriculum to be attended by all students and a variety of more specialized lectures and courses. The heart of our teaching program certainly is the Ringvorlesung. Each semester the Ringvorlesung focuses on one field and is usually delivered by scientific members of the IMPRS who introduce different approaches and visions within this field.

Schedule

Part A by Angkana Rüland (25.10., 01.11., 08.11.,15.11.):

The Calder'on Problem -- A Prototypical Inverse Problem

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

Date and time info
Friday 09.15-11.00 (Rüland) 09.30-11.00 (Cadamuro) 09.15-11.00 (Smerlak) Exercice classes: Friday 11.00-12.00

Keywords
Scattering theory, Calder'on Problem, Evolutionary dynamics

Audience
IMPRS students, Phd students, postdocs

Links

lecture

10/1/19 1/31/20

Regular lectures Winter semester 2019-2020

MPI for Mathematics in the Sciences / University of Leipzig see the lecture detail pages

See Details

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail