Guest lectures and seminars - Page 144
Marco Matassa (UiO) will give a talk with title The Dolbeault-Dirac operator on quantized projective spaces, revisited
Abstract: In this talk I will present a new construction for the Dolbeault-Dirac operator on quantum projective spaces, the main result being the computation of its square. This clarifies and generalizes some results of D'Andrea-Dąbrowski. Moreover it gives a class of explicit examples of the general construction of Krähmer-Tucker Simmons, which deals with such operators on irreducible generalized flag manifolds.
Carsten Lütken, UiO, gives the Seminar in Algebra and Algebraic Geometry:
Modular curves VIII
The Skolem Lecture is an annual event in honor of the Norwegian mathematician and logician Thoralf Skolem.
This years Skolem Lecturer will be
Michael Rathjen, The University of Leeds:
"On relating strong type theories and set theories"
Roberto Conti (La Sapienza, Rome) will give a talk with title "C*-algebras and Fourier theory"
Robert Yuncken (Univ. Clermont-Ferrand II, France) will give a talk with title: A groupoid approach to pseudodifferential operators
Abstract: Connes introduced the "tangent groupoid" of a manifold as a geometric device for linking a classical pseudodifferential operator to its symbol, yielding a novel proof of the Atiyah-Singer index theorem. Since then, numerous variations on the tangent groupoid have been produced, each adapted to a different class of pseudodifferential operators. In this talk we will consider the reverse problem: associating to a given tangent groupoid a pseudodifferential calculus. We shall show that the kernels of classical pseudodifferential operators are precisely the essentially homogeneous fibrewise distributions on Connes' tangent groupoid. This leads to a natural pseudodifferential calculus of subelliptic type on a manifold with a filtration on its Lie algebra of vector fields.