Analytic conditions impose topological restrictions

Gerardo Mendoza, Temple University

Event Date
2012-01-30
Event Time
02:30 pm ~ 03:20 pm
Event Location
Wachman 617

Abstract: I will describe results obtained in collaboration with H. Jacobowitz
some years ago and recently with A. Bergamasco and S. Zani on topological con-
sequences of assumptions made on diļ¬€erential operators. This is a problem of a
global nature: the objects on which the operators act are functions (more generally
sections of a complex vector bundle) on a compact manifold without boundary.
The analytic conditions are either ellipticity, or global hypoellipticity. I will also
pose an open problem concerning solvability in the large.