February Fourier Talks 2010

We shall discuss two problems suggested by several complex variables that require a rethinking of the classical Calderon-Zygmund paradigm. The first is that of finding the analogue of the L^p theory for the Cauchy integral for minimally smooth domains in several variables. The second is the study of a natural algebra of operators containing both the standard pseudo-differential operators and the singular integrals of Heisenberg-group type.