Ilya Kossovskiy: Levi flat hypersurfaces, implicit differential equations, and Fuchsian systems on the Riemann sphere

V torek, 5. oktobra ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predaval prof. Ilya Kossovskiy z Univerze v Brnu, Ceska.

Title: Levi flat hypersurfaces, implicit differential equations, and Fuchsian systems on the Riemann sphere.

Abstract: We discuss the classification of nondicritical singularities of Levi flat hypersurfaces in the complex 2-space. According to a structural result due to Shafikov-Sukhov, one can approach to the problem through the classification of implicit differential equations. The latter classification is supposed to be completed in the classical work of Davydov. We revisit the Davydov theory, by significantly correcting the classification and extending it to the analytic setting. Very interestingly, the problem appears to be closely connected to the seemingly unrelated problem of studying solutions for a Fuchsian system of ODEs on the Riemann sphere.

Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek