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Texas A&M University

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.