Takeo Ohsawa: On the deformations of polarized tori

V torek, 5. aprila ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predaval prof. Takeo Ohsawa z Univerze Nagoya, Japonska.

Title: On the deformations of polarized tori.

Abstract: Given a complex torus T of dimension ≥ 2, we describe the set of infinitesimal deformations of T that fix some Kähler form on T. As a result, it turns out that the set is strictly smaller than that predicted by Berndtsson's theorem on the relative Bergman kernels. Dually to this, given a symplectic torus (T,ω) of dimension ≥ 4, it is shown that the set of elements of H²(T, R) represented by (1,1) forms for some complex structure compatible with ω has a nonempty complement.

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

Vodji seminarja

Josip Globevnik in Franc Forstneric