[iasmath-seminars] Reminder for tonight's Mathematical Conversations

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Mathematical Conversations

Wednesday, March 6

 

About Mathematical Conversations: We meet in Harry's Bar at 6pm, where free
drinks are provided. After 20 minutes, we move to the Dilworth room, where
the speaker gives a 20-minute talk, followed by 15 minutes of discussion
with the audience. After that we return to the bar for further discussions.
Website: https://www.math.ias.edu/math-conversations

 

To view mathematics in titles and abstracts, please click on the talk's
link.

 

 

Topic:                    From Celestial Mechanics to the Arnold Conjectures

Speaker:              Umberto Hryniewicz, Universidade Federal do Rio de
Janeiro; von Neumann Fellow, School of Mathematics

Time/Room:       6:00pm - 7:30pm/Dilworth Room

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=136645>
http://www.math.ias.edu/seminars/abstract?event=136645

 

The study of the planar-circular-restricted 3-body problem led to Poincaré's
"last geometric theorem", nowadays known as the Poincaré-Birkhoff theorem.
It is a fixed point theorem for certain area-preserving annulus
homeomorphisms. Birkhoff's proof did not allow for generalizations, and we
had to wait until the 1960's when Arnold realized that the Poincaré-Birkhoff
theorem (in the smooth case) is a consequence of a certain conjecture on the
number of fixed points of Hamiltonian diffeomorphisms. The conjecture was
one among others of the same flavor, and they motivated the invention of
Floer theory. In this talk I would like to give more details on this
remarkable chain of events.

http://www.math.ias.edu/seminars

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