Floer Lectures 2023
DECEMBER 7-8, BOCHUM
We are delighted to have Alessio Figalli (ETH) and Gigliola Staffilani (MIT) as our two speakers. They will each give two talks.
This is a workshop hosted by the Floer Center of Geometry and funded by the Bochum-Cologne SFB collaboration program CRC/TRR 191 "Symplectic Structures in Geometry, Algebra and Dynamics”.
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The lectures will take place in the lecture halls HIB and HZO 20. ----> Campus Map
SCHEDULE:
Thursday (HIB)
15:00-16:00 G. Staffilani - "A small window on wave turbulence theory I"
16:00-17:00 Coffee break
17:00-18:00 A. Figalli - "Quantitative stability in geometric and functional inequalities I"
Friday (HZO 20)
09:30-10:30 A. Figalli - "Quantitative stability in geometric and functional inequalities II"
10:30 - 11:30 Coffee break
11:30-12:30 G. Staffilani - "A small window on wave turbulence theory II"
ABSTRACTS:
G. Staffilani - "A small window on wave turbulence theory"
Wave turbulence theory is a vast subject and its goal is to formulate for us a global
picture of wave interactions. Phenomena involving interactions of waves happen at different
scales and in different media: from gravitational waves to the waves on the surface of the
ocean, from our milk and coffee in the morning to infinitesimal particles that behave like
wave packets in quantum physics. These phenomena are difficult to study in a rigorous
mathematical manner, but maybe because of this challenge mathematicians have developed
interdisciplinary approaches that are powerful and beautiful. I will describe some of these
approaches and show for example how the need to understand certain multilinear and periodic
interactions gave also the tools to prove a famous conjecture in number theory, or how
classical tools in probability gave the right framework to still have viable theories behind
certain deterministic counterexamples.
A. Figalli - "Quantitative stability in geometric and functional inequalities"
Geometric and functional inequalities play a crucial role in several problems in analysis and
geometry. The sharpness of a constant and the characterization of minimizers is a classical
and essential question. More recently, there has been a growing interest in studying the
stability of such inequalities. The basic question one wants to address is the following:
Suppose we are given a functional inequality for which minimizers are known. Can we
quantitatively show that if a function “almost attains the equality,” then it is close to one of
the minimizers?
In these lectures, I will first overview this beautiful topic and then discuss recent results
concerning the Sobolev, isoperimetric, and Brunn–Minkowski inequalities.
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Anyone is welcome to attend!
There is no formal registration, but please send an email to Frau Minzlaff (Corina Minzlaff) so that we can estimate the number of participants. Everyone is welcome to join us for a dinner on Thursday evening. In this case plase contact Corina Minzlaff.
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HOTELS:
Here are some of the hotels in Bochum, please contact Frau Minzlaff if you would like assistance with booking a room.
Mercure Hotel Bochum City - conveniently located next to central station, large rooms, but not cheap.
Hotel Claudius - a central but quiet location in Bochum, only about 700 m away from central station, this modern hotel offers stylish rooms, a varied breakfast buffet and a terrace.
Ibis Styles und Ibis Bochum Zentrum - next to central station, small rooms, good price but nothing special - Ibis Bochum Zentrum is probably a bit more quiet.
Art Hotel Tucholsky in the "Bermuda triangle" (party mile), 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.
Hotel Ostmeier - a little further from central station but it is a hotel with a family atmosphere, warm hospitality and even with a wellness area and swimming pool.
Jugendherberge (youth hostel) Bochum again in the "Bermuda triangle", it is supposed to be very good and has differnet kinds of rooms.
General directions including a map of the campus can be found here .
For assistance or questions please contact Corina Minzlaff.
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We hope to see you there!
Coffee breaks will take place in front of the lecture halls.