Seiberg-Witten Floer homotopy
- Date
- July 15 (Fri) at 14:00 - 16:30, 2022 (JST)
- Speaker
-
- Hokuto Konno (Assistant Professor, Graduate School of Mathematical Sciences, The University of Tokyo)
- Venue
- Hybrid Format (Common Room 246-248 and Zoom)
- Language
- English
- Host
- Keita Mikami
I will survey a mathematical object called the Seiberg-Witten Floer homotopy type introduced by Manolescu. This is a machinery that extracts interesting aspects of 3- and 4-dimensional manifolds through the Seiberg-Witten equations. This framework assigns a 3-manifold to a "space" (more precisely, the stable homotopy type of a space), and this space contains rich information that is strong enough to recover the monopole Floer homology of the 3-manifold, which is known already as a strong invariant.
I shall sketch how this theory is constructed along Manolescu's original work, and introduce major applications. If time permits, I will also explain recent developments of Seiberg-Witten Floer homotopy theory.
If you are not familiar with the mathematical formulation of TQFT and categorification, I recommended you to watch Dr. Sano's recent talk in advance (see related links).
This is a closed event for scientists. Non-scientists are not allowed to attend. If you are not a member or related person and would like to attend, please contact us using the inquiry form. Please note that the event organizer or speaker must authorize your request to attend.
