S. Gindikin: Holomorphic language for Cauchy-Riemann cohomology.

Speaker: Simon G. Gindikin (Rutgers University, USA)

Title: Holomorphic language for Cauchy-Riemann cohomology

Abstract: In multidimensional complex analysis it is not possible to work just with holomorphic functions: we need also to consider higher Cauchy-Riemann cohomology. Usually for their consideration we need go outside of holomorphic analysis. It turns out that there is a purely holomorphic language for cohomology . We will talk about this language discuss several situations at Fourier analysis, representations, differential equations where it is natural to work with cohomology.