A minicourse by Felix Schlenk (Neuchatel University, Switzerland): on-line

Felix Schlenk (Neuchatel University, Switzerland), a well-known specialist in symplectic geometry and dynamic, unfortunately could not come to our faculty, being stuck in the middle of his journey to Moscow due to the quarantine measures.  Yet he is looking for a way to provide a 4 lecture minicourse on-line or as a video-course. 

To be ready for the connection please read well before the beginning of the lecture  the instruction how to connect to the course using ZOOM (https://zoom.us/) 

Lecture 1  on  March 19, 17:00 - 18:20   https://zoom.us/j/220027942

Lecture 2 on  March 20, 17:00 - 18:20    https://zoom.us/j/225137471

Lecture 3 on  March  24, 15:30 - 16:50   https://zoom.us/j/285894684

Lecture 4 on  March 26, 17:00 - 18:20    https://zoom.us/j/451485631

Abstract:
In the recent study of symplectic embedding problems, unexpected algebraic, combinatorial and numerical structures and questions appear: “perfect” solutions to certain Diophantine systems, that correspond to special holomorphic spheres in blow-ups of CP^2, the Cremona and Picard– Lefschetz transformations, continued fraction expansions and a variant of the Hirzebruch–Jung resolution of singularities, Fibonacci and Pell numbers with ratios converging to the Golden and Silver Means, elementary but intricate combinatorial problems, discrete isoperimetric inequalities, relations to the lengths of closed billiard orbits, Fourier–Dedekind sums, new examples of lattice point counting functions with period collapse, and the dawning of an irrational Ehrhart theory.

I will explain a few of the new symplectic embedding results and a few of the above relations.

 
Lecture 1:      Symplectic embeddings by hand

Lecture 2:      Gromov's non-squeezing theorem

Lecture 3:      Blowing up and embedding balls

Lecture 4:      The fine structure of symplectic rigidity