Universität Wien

250087 SE Research Seminar (2012W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Prüfungsimmanente Lehrveranstaltung

Details

Sprache: Englisch

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

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

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

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.

Art der Leistungskontrolle und erlaubte Hilfsmittel

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

Mindestanforderungen und Beurteilungsmaßstab

Prüfungsstoff

Literatur

Zuordnung im Vorlesungsverzeichnis

MALV, MGEV

Letzte Änderung: Mo 07.09.2020 15:40