Abstract: Abstract: The fundamental Kohn's Decomposition Theorem relates cohomology groups of forms on compact subdomains of complex manifolds (e.g. pseudoconvex), to finite-dimensional spaces of harmonic forms on these subdomains. In my talk I will introduce a variant of Kohn's theorem for forms defined on non-compact subdomains, and satisfying additional constraints on their growth along discrete subsets (joint work with Alex Brudnyi). Its proof is based on a quite useful technique for dealing with infinite-dimensional holomorphic Banach vector bundles, which I will also describe. Finally, I will demonstrate how infinite-dimensionality of vector bundle, combined with Oka principle, can lead to better results than in the finite-dimensional case.

Abstract: To celebrate the year's end, we shall have two talks this Tuesday. The first talk is in our Pizza Seminar series and will be given by Mitsuru Wilson and the second will be the last lecture in our Discovery Cafe weekly meetings by Masoud Khalkhali. We shall then all go to the grad club for Pizza, courtesy of Math Department! Tea will be served in the lounge between the two talks.

The first talk is a gentle and friendly introduction to evolution of geometric thought through history of mathematics, culminating in some current ideas on noncommutative spaces.

The second talk is an introduction to Shor's fast factorization quantum computing algorithm and some of its physics and mathematics background. Please check the one and only Pizza Seminar blog http://pizzaseminaruwo.blogspot.ca/ for more details!