FLOER LECTURES 2016
JUNE 23-24, 2016 (BOCHUM)
We are delighted to have Ralph Cohen (Stanford University) and Thomas Kragh (Uppsala University) as our two speakers. They will each give two talks.
This is a workshop hosted by the Floer Center of Geometry.
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Schedule:
Thursday
16:15-17:15 R . Cohen - "Calabi Yau categories, the string topology of a manifold, and the Floer theory of its cotangent bundle I"
17:15-17:45 Coffee break
17:45-18:45 T. Kragh - “The Legendre Transform, Symplectic homology, and stable homotopy types I"
Friday
11:15-12:15 T. Kragh - “The Legendre Transform, Symplectic homology, and stable homotopy types II"
12.30-14.00 Lunch at the Mensa
14:15-15:15 R. Cohen - "Calabi Yau categories, the string topology of a manifold, and the Floer theory of its cotangent bundle II"
Talks will take place in room NA 02/99 on Thursday and in room NA 01/99 on Friday, which are both on the ground floor of the Mathematics Department (building NA).
Coffee breaks will take place in the Friedrich-Sommer Raum NA 1/58, which is on the first floor up of the same building.
Abstracts:
R. Cohen - "Calabi Yau categories, the string topology of a manifold, and the Floer theory of its cotangent bundle"
T. Kragh - “The Legendre Transform, Symplectic homology, and stable homotopy types"
In the first talk I will go over the basics of: Morse theory and Loop space homology. I will then describe the Legendre transform and how this relates to the notion of symplectic homology. I will in particular try and give a description of why one would expect an isomorphism between the loop space homology (with some orientation) and symplectic homology. This isomorphism was first proven by Viterbo, and later generalized and proved differently by both Salamon and Weber, and Abbondandolo and Schwarz.
In the second talk I will go into more details on symplectic homology and sketch how to define a spectrum (stable homotopy type) representing it. That such a spectrum exists was proven earlier by Cohen, Segal and Jones; but I will give an explicit construction, which works functorially (Viterbo functoriallity). This construction uses finite dimensional approximations of loop spaces and the Legendre transform. I will then outline some consequences that this has, which seems intractable to prove using the homological versions alone.
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Anyone is welcome to attend!
There is no formal registration, but please send an email to Frau Dzwigoll (ursula.dzwigoll@rub.de) so that we can estimate the number of participants. Everyone is welcome to join us for a dinner on the Thursday evening.
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Hotels
Here are some of the hotels in Bochum, please contact Frau Dzwigoll if you would like assistance with booking a room.
Park Inn - conveniently located next to central station, large rooms, but not cheap (ca 85 Euro incl. breakfast)).
Ibis City und Ibis Zentrum - next to central station, small rooms, good price but nothing special - Ibis Zentrum is probably a bit more quiet (ca 65 incl. breakfast).
Art Hotel Tucholsky in the "Bermuda triangle" (party mile), that is, can be noisy at night, but if you reserve a room to the back yard it's very fine, art hotel with funny accessoires - great breakfast, probably the most interesting hotel in the list (ca. 75 Euros incl. breakfast)
Jugendherberge (youth hostel) Bochum again in the "Bermuda triangle", it is supposed to be very good and has differnet kinds of rooms (ca. 62 Euros for single rooms incl. breakfast)
General directions including a map of the campus can be found here.
For assistance or questions please contact Ursula Dzwigoll.
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We hope to see you there!