Tuesday, March 25,  2014, 4:00 p.m., B139 VV    
Aaron Peterson (UW)

\bar{\partial}_b on Uniformly Finite-Type Subdomains of \mathbb{C}^2 

Abstract:
My talk will introduce a new class of unbounded convex model domains for the
\bar{\partial}_b problem in \mathbb{C}^2. This class, the convex uniformly finite-type
domains, generalizes the class of smoothly bounded (precompact) convex finite-type
domains.

The main results will be estimates for the Szeg"o kernel on the boundary of such domains,
including sharp results in the case of tube domains.