The topic of this workshop is the interaction between several complex variables and CR geometry and the connections to problems in mathematical physics. CR analysis refers to the study of the Cauchy-Riemann (or d-bar) equations on open subsets of Cn, or to the equations they induce on real submanifolds of Cn (the tangential Cauchy-Riemann or d-bar-b equations). This includes the study of functions in the kernels of these operators, that is, holomorphic functions and CR-functions respectively.
Our goal is to bring together researchers from complex analysis with expertise on the Cauchy-Riemann equations and their tangential variants (CR analysis) and experts in CR-geometry, in order to initiate a transfer of current ideas and methods between the two _elds. CR analysis is also intimately related to diamagnetism, paramagnetism, and semiclassical analysis in quantum mechanics. We plan to use this workshop to rejuvenate and deepen the investigation of these connections.
In the first part (Nov. 3 - Nov 6, 2015) the focus will be on more geometric aspects, in the second part (Nov. 9 - Nov.13, 2015) on more analytic aspects.
Workshop part 1: November 3 - November 6, 2015
Workshop part 2: November 9 - November 13, 2015