Faculty of Mathematics and Computer Science, Physics, Geography

Course Description

Algebraic Topology attaches algebraic invariants to topological spaces and continuous maps. The most fundamental of these invariants is homology. The course will give an introduction to homology and its applications.
Algebraische Topologie ordnet topologischen Räumen und stetigen Abbildungen algebraische Invarianten zu. Die grundlegendste dieser Invarianten ist Homologie. Die Vorlesung wird eine Einführung in Homologie und ihre Anwendungen bieten.

Faculty

Mathematics and Computer Science, Physics, Geography

Institute

Mathematics

Lecturer

Stefan Witzel

Study Period (dd/mm/yy)

13/04/2023 - 14/07/2023

Mode and Time

Asynchronous (recorded)

Online Tool for Teaching

Ilias

Language of Instruction

English/German depending on the audience

Target Group

Master

Prerequisites

Participants should understand English or German. They should have knowledge of basic point set topology such as connectedness, compactness, quotient topology.

ECTS

6

Course Description

In this course, students will learn the very basic physical and technical skills to engage with the field of energy systems at times of global climate change. We will build upon this knowledge and cover different technologies for renewable energy generation and illustrate their advantages and disadvantages and their possibilities on a global scale. We will examine why and how additional technologies are required for a renewable energy transition beyond photovoltaics or wind, to transport, store and make use of the energy. We will address this complexity in the different energy sectors: residential, industrial, heating and mobility.
As the requirements for energy systems can differ substantially, e.g. the available resources or surrounding conditions, we will explore different energy systems and possible energy futures with the help of energy and system dynamics models, where energy trading is an essential asset.
Due to the multitude of drivers for renewable energy transitions, we will focus on the interlinkage between energy and overpopulation, climate change, the global water cycle and the CO2 budget. In this context, we will discuss how a transition to renewable or even sustainable energies can help us meet global challenges on the road of sustainable development.

Faculty

Faculty of Mathematics and Computer Science, Physics, Geography

Institute

Institute of Experimental Physics I

Lecturer

Prof. Michael Düren

Study Period (dd/mm/yy)

13/04/2023 - 14/07/2023

Mode and Time

Synchronous (live), time (CET): Wednesday 14:30-18:00
Asynchronous (recorded)

Online Tool for Teaching

Ilias and StudIP; Video Tool to be defined

Language of Instruction

English

Target Group

Master

Prerequisites

-

ECTS

6

Course Description

Climate is the result of various interactions between the five principal subsystems—atmosphere, hydrosphere, biosphere, land surface, and cryosphere—which collectively contribute to the climate system. Each component is connected in different ways to each other such that changes in one component may give rise to changes elsewhere. The climate system is powered by the solar radiation and its time evolution is affected by the own internal dynamics and changing external factors (forcings) that influence the climate.
The block course is engaged with the general introduction to climate and climate modelling. Energy Balance models are further elaborated in a virtual online session. Participants will also have a hands-on practice on use of real climate model output, statistical analysis and visualisation.
Prior to the block course, participants do an extensive literature research on climate models and prepare relevant presentations in small groups (max. 3 students; 30 min). The topics of the presentations can be selected from the following list:
1) Energy Balance Models
2) Earth System Models of Intermediate Complexity
3) General Circulation Models
4) Earth System Models including unstructured grids
5) Regional climate models
6) Climate Impact models
7) Machine Learning tools implemented in Earth System Models
The structure of the presentation should follow:
JLU Virtual International Programme (VIP)
* Mandatory information (publication on the website and in the programme flyer)
a) Motivation
b) Introduction to the basic model concept
c) State of the art of current literature
d) Example of application of the respective model
e) Short discussion on pros and cons of the model
f) Summary and outlook for potential future applications
A final report is prepared after the block course based on the literature and hands-on experience.

Faculty

Faculty of Mathematics and Computer Science, Physics, Geography

Institute

Institute of Geography

Lecturer

Dr. Elena Xoplaki

Study Period (dd/mm/yy)

19/04/2023 - 21/04/2023

Mode and Time

Synchronous (live), Time (CET): First day: 14:00-16:00; Second and third day: 09:00-16:00

Online Tool for Teaching

TBD

Language of Instruction

English

Target Group

Master

Prerequisites

Participants should have weather/climate knowledge. The course is structured as a block and its basic prerequisite is the participants’ motivation to learn about climate and climate models. Computer skills are welcome.

ECTS

3
Without examination: 0-1