Seminář o diferenciálních rovnicích se koná v pondělí 15.5.2023 od 12 hodin v posluchárně M5.

Roberta Fabbri (Mathematics and Computer Science "Ulisse Dini", University of Florence)

Some questions concerning nonautonomous linear Hamiltonian systems

Abstrakt:
In the talk the definitions and properties of the rotation number and exponential dichotomy for linear non-autonomous Hamiltonian systems are presented. Some applications to spectral theory for properly perturbed Hamiltonian systems and linear quadratic minimization problems are also presented. Finally, starting from the geometric definition of the rotation number related to the Arnold-Maslov index, some ideas on numerical computation of the Maslov index for frames, i.e., Lagrange planes generated by the solutions of the systems, are given. This is related to the spectral theory of the \(n\)-dimensional Schrödinger equation.

Mathematics, Physics & Computer Science Seminar Series

Seminář se koná 10.5.2023 od 16:30 v zasedací místnosti 300, Komenského náměstí 220/2

Stefan Nemirovski

Lorentz geometry and contact topology

Stefan Nemirovski is a Russian mathematician. He is a principal researcher at the Steklov Mathematical Institute in Moscow and a Wissenschaftlicher Mitarbeiter at the Ruhr-Universität Bochum. Nemirovski was awarded an EMS Prize in 2000 for his contributions to complex analysis in several variables. He was elected corresponding member of the Russian Academy of Sciences in 2008.