Several Complex Variables Seminar

Date: November 14, 2019

Time: 2:00PM - 3:00PM

Location: BLOC 220

Speaker: Debraj Chakrabarti, Central Michigan University

Title: An Alexander-Pontrjagin type duality in the L² theory of the ∂-operator

Abstract: Hörmander's L² estimates on the ∂-equation on bounded pseudoconvex domains are a cornerstone of modern complex analysis. From the very beginning, attempts have been made (by Folland-Kohn, Shaw, Hörmander and others) to extend these L² methods to appropriate classes of nonpseudoconvex domains. In this talk, we discuss an approach to the ∂-problem on an annulus between two weakly pseudoconvex domains which is inspired by Alexander-Pontrjagin duality in topology. This is ongoing joint work with Phil Harrington of Arkansas.