Several Complex Variables Seminar

Date: April 1, 2022

Time: 10:20AM - 11:10AM

Location: ZOOM

Speaker: Gian Maria Dall'Ara and Samuele Mongodi, Scuola Normale Superiore and Politenico di Milano

Title: The Levi core: basic properties and applications

Abstract: In the first part of this talk, Samuele will present briefly the construction of the core of the Levi distribution, highlighting the links with other known geometric invariants of boundaries of pseudoconvex domains, like finite-type points, local maximum sets, Levi currents. He will also sketch a parallel between the sequence of derived distributions from the Levi distribution to the core and Kohn's algorithm of multipliers' ideals. In the second half of the talk, Gian Maria will discuss two ways in which the Levi core can be applied to problems in SCV, specifically he will address the question of whether the DF index of a domain is 1, the exact regularity of the d-bar Neumann problem, and subelliptic estimates. The subellipticity part is yet unpublished.