The seminar "Operator algebras and their applications" under the guidance of Professor Sh.A. Ayupov is held every Monday at 14:00 (UTC+5) in Romanovskiy Institute of Mathematics of the Uzbekistan Academy of Sciences.
21.10.2024
Karim Rakhimov (Institute of Mathematics, Uzbekistan)
"Dynamics of Fuchsian meromorphic connections with real periods"
Abstract: In this talk, we study the dynamics of geodesics of Fuchsian meromorphic connections with real periods, giving a precise characterization of the possible omega limit sets of simple geodesics in this case. The main tools are the study of the singular flat metric associated to the meromorphic connection, an explicit description of the geodesics nearby a Fuchsian pole with real residue larger than -1 and a far-reaching generalization to our case of the classical Teichmuller lemma for quadratic differentials.
Language of the talk: English
Zoom: https://us02web.zoom.us/j/7803181064
Conference ID: 780 318 1064 Scientific secretary of the Seminar: J. Q. Adashev
21.10.2024
Karim Rakhimov (Institute of Mathematics, Uzbekistan)
"Dynamics of Fuchsian meromorphic connections with real periods"
Abstract: In this talk, we study the dynamics of geodesics of Fuchsian meromorphic connections with real periods, giving a precise characterization of the possible omega limit sets of simple geodesics in this case. The main tools are the study of the singular flat metric associated to the meromorphic connection, an explicit description of the geodesics nearby a Fuchsian pole with real residue larger than -1 and a far-reaching generalization to our case of the classical Teichmuller lemma for quadratic differentials.
Language of the talk: English
Zoom: https://us02web.zoom.us/j/7803181064
Conference ID: 780 318 1064 Scientific secretary of the Seminar: J. Q. Adashev