Universität Wien
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250087 SE Research Seminar (2012W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 17.10. 16:00 - 18:00 Seminarraum
  • Wednesday 24.10. 16:00 - 18:00 Seminarraum
  • Wednesday 31.10. 16:00 - 18:00 Seminarraum
  • Wednesday 07.11. 16:00 - 18:00 Seminarraum
  • Wednesday 14.11. 16:00 - 18:00 Seminarraum
  • Wednesday 21.11. 16:00 - 18:00 Seminarraum
  • Wednesday 28.11. 16:00 - 18:00 Seminarraum
  • Wednesday 05.12. 16:00 - 18:00 Seminarraum
  • Wednesday 12.12. 16:00 - 18:00 Seminarraum
  • Wednesday 09.01. 16:00 - 18:00 Seminarraum
  • Wednesday 16.01. 16:00 - 18:00 Seminarraum
  • Wednesday 23.01. 16:00 - 18:00 Seminarraum
  • Wednesday 30.01. 16:00 - 18:00 Seminarraum

Information

Aims, contents and method of the course

We will start with elementary inroduction to the theory of Fano and Calabu Yau manifolds.

The study of Geometry in the 20th Century was devoted, in large part and with astounding success, to the classification and parametrization of geometrical objects. However, these objects, of various kinds, were uniformly viewed somehow as ``sets of points''. Along the way, the relationship with categorical structures grew steadily, With PI Kontsevich's introduction of HMS - Homological Mirror Symmetry, a subtle change was introduced, in that ``Geometry'' began to be seen {\em within} a categorical structure. And the concurrent development of the theory of higher stacks meant that geometric structures were no longer viewed just as ``sets of points'' but rather as objects enclosing a higher structure.

Following this idea we inroduce classical TQFT approach by Athyah and Segal dressed by recent work of Lurie. The last part of the course will be dedicated to constructing categorical invariants. No prerequisits will be needed.

Assessment and permitted materials

At the end a grade will be given based on a final presentation. A written exam is available should a popular demand require it.

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALV, MGEV

Last modified: Mo 07.09.2020 15:40