Universität Wien
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250161 SE Seminar Geometry and Topology (2024W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work
Moodle
Tu 21.01. 09:45-11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 03.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Participants of this course will be introduced to the basics as well as one of the most recent developments in the theory of geometric structures on 3-dimensional manifolds. More specifically, we will understand the fundamentals of foliation theory as well as contact structures, and the way they interact. Topics will include an introduction to foliations (holonomy, minimal sets, Reebless and taut foliations, fillability) and contact structures (Gray stability, Darboux theorem, tight and overtwisted contact structures, fillability). Following these basics of the two theories, we will give an overview of a famous theorem of Eliashberg and Thurston about perturbing foliations into contact structures. Towards the end of the course Thomas Massoni, who contributed the most recent development in the field is going to give a couple of lectures that should be accessible for the participants.

The course will consist of talks given by the participants. As some of these topics are challenging, the organizers (Willi Kepplinger and Diego Santoro) will guide the speakers through them. For this, the organizers will meet with the students the week before to discuss the details of the presentation and answer questions on the subject. Moreover, they will be available for further discussion if needed.

An outline of the course can be found on the course website:
https://sites.google.com/view/seminartopologyandgeometry?usp=sharing

Assessment and permitted materials

Students are expected to
.) give one presentation
.) provide a readable writeup of the content of their lecture
.) meet with the organizers a week prior to the talk to discuss its contents and the presentation

Minimum requirements and assessment criteria

see assessment

Examination topics

see assessment

Reading list

see references in the course website

Association in the course directory

MALS; MGES

Last modified: Fr 04.10.2024 16:06