Uros Kuzman: On big J-holomorphic discs

V torek, 11. novembra ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavanje

Uros Kuzman: On big J-holomorphic discs.

Abstract: The theorem of Nijenhuis and Woolf is a fundamental result in almost complex geometry, stating that for any almost complex manifold (M, J), there exists a pseudoholomorphic curve through any point p of M in any tangent direction v in T_p M. However, this theorem guarantees only small solutions to the generalized Cauchy–Riemann equation. In this talk, we will discuss approximation, deformation, and gluing techniques for “big” J-holomorphic discs, i.e., pseudoholomorphic maps from the unit disc into (M, J) whose images are not necessarily contained in a neighborhood of a single point. Moreover, we will present a method for constructing such big discs in Stein domains.

Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije Zoom:

https://uni-lj-si.zoom.us/j/93433347588

Meeting ID: 934 3334 7588

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek