Gihyun Lee (Potsdam)
I shall report on ongoing joint work with Vishvesh Kumar (Ghent University, Belgium), in which we construct a general pseudodifferential calculus of type \((\rho,\delta)\) associated with symbols taking values in a locally convex space. Our framework covers the classical Kohn-Nirenberg and Weyl calculi, while our main motivation is to generalize Connes' pseudodifferential calculus on noncommutative tori to the general\( (\rho,\delta)\))-type. I will introduce the vector-valued oscillatory integral underlying our construction and discuss the technical difficulties that do not appear in the scalar- or Banach space-valued \((\rho,\delta)\)-type calculi in the literature.
For more information and log in details please contact Christian Molle.
