*30 augusti 1995*-
**KASS-gruppen** - Planeringsmöte
*13 september 1995*-
**Bo Berndtsson** - Quasiconformal maps and holomorphic motions
- Abstract: I will prove Astala's theorem on the area distortion of quasiconformal maps. This theorem depends very much on the relation between quasiconformal maps and holomorphic motions. The proof I will give uses important simplifications, due to Eremenko and Fernandez, of Astala's original argument. I will also try to give all necessary background so that the exposition will be essentially self contained.
*20 september 1995*-
**Bo Berndtsson** - Quasiconformal maps and holomorphic motions, cont'd
*27 september 1995*-
**Thomas Hansson** - Atomuppdelning och faktorisering av H^1-funktioner i strikt pseudokonvexa områden i C^n
*4 oktober 1995*-
**Nikolay Shcherbina** - A 2-sphere in C^2 that can not be filled by analytic disks [Fornæss-Ma]
*11 oktober 1995*-
**Nikolay Shcherbina** - A 2-sphere in C^2 that can not be filled by analytic disks, cont'd
*18 oktober 1995*-
**Thomas Hansson** - Atomuppdelning och faktorisering av H^1-funktioner..., forts.
*25 oktober 1995*-
**Vincent Guedj** - Rational convexity and positive currents in P^n
*1 november 1995*-
**Lars Alexandersson** - Taubes' universal implicit function theorem, and an application to the approximation of instantons [Taubes-Donaldson]
*29 november 1995*-
**Lars Alexandersson** - Taubes' universal implicit function theorem..., cont'd
*6 december 1995***Bo Berndtsson**- The theorem of Donnelly-Fefferman and the extension of Ohsawa-Takegoshi
*7 december 1995***Jürgen Leiterer**, Berlin- Proof of the Oka-Grauert Principle without induction over the base dimension
- Zusammenfassung: This is a talk over a joint work with G. Henkin, where a new proof of Grauert's theorem on holomorphic bundles over Stein manifolds is given. In distinction to other proofs, this proof does not use induction over the real dimension of the base manifold. Instead induction with respect to the levels of a strictly plurisubharmonic exhausting function is used (Grauert's bump method). In this way also a certain generalization for bundles over pseudoconvex manifolds (which are not necessarily Stein) is obtained. The key to this proof is a study of the complex geometry of nondegenerate critical points of strictly plurisubharmonic functions.
*13 december 1995***Bo Berndtsson**- The theorem of Donnelly-Fefferman and the extension of Ohsawa-Takegoshi, cont'd
*14 december 1995***Thomas Hansson**- On the atomic decomposition and factorization of H1-functions in strictly pseudoconvex domains (Licentiatseminarium)
*10 januari 1996***KASS-gruppen**- Planeringsmöte
*17 januari 1996***Burglind Jöricke**, Berlin- Iterationer av funktioner av en komplex variabel, introduktion
*31 januari 1996***Hasse Carlsson**- Multiplikatorer på BMOA [Ortega-Fabrega]
*1 februari 1996***Jan-Erik Björk**, Stockholm- Residuer i flera komplexa variabler
*6 februari 1996***Bo Berndtsson**- Analytic disks with boundary in a torus [Gromov & Alexander]
- Abstract: A famous theorem by M. Gromov asserts that for any Lagrangian torus one can find an anlaytic disk with boundary in the torus. This theorem is interesting both from the complex analytic point of view and for its consequences in symplectic geometry. I will describe Gromov's proof with some simplifications due to H. Alexander
*14 februari 1996***Mats Andersson**- Division problems and BMO
*21 februari 1996***Lars Filipsson**, Stockholm- Complex mean value interpolation
*28 februari 1996***Burglind Jöricke**, Berlin- Removable singularities for L^p solutions of tangential Cauchy-Riemann equations
- Abstract: It is a classical subject to describe removable singularities for L^p solutions of homogeneous differential equations. Here the problem is considered for tangential Cauchy-Riemann operators on hypersurfaces in C^n. In this case, removable singularities may be radically more massive than predicted by the classical theory. The effect depends on properties of analytic continuation of the functions to open subsets on C^n. Problems arise to describe certain envelopes of holomorphy or to show their multisheetedness.
*13 mars 1996***Bo Berndtsson**- Analytic disks with boundary in a Lagrangian manifold [Gromov & Alexander]
*20 mars 1996***Burglind Jöricke**, Berlin- CR-orbits, CR-foliations with exceptional minimal sets and multisheeted envelopes of holomorphy
*27 mars 1996***Bo Berndtsson**- Canonical models for holomorphic motions [Slodkowski]
*3 april 1996***Burglind Jöricke**, Berlin- Exceptional minimal sets for CR-foliations
*17 april 1996***Alexander Isaev**, The Australian National University- Reinhardt domains with noncompact automorphism groups [Fu-Isaev-Krantz]
- Abstract: We give a complete classification of smoothly bounded Reinhardt domains in C^n with noncompact automorphism groups. We will also discuss the question whether Reinhardt domains always serve as standard models for domains with noncompact automorphism groups. From this point of view, there is a striking difference between the cases C^n with n>=3 and C^2. This is a joint work with S. Krantz and S. Fu.
*24 april 1996***Henrik Delin**- Pointwise estimates of the weighted Szegö kernel in
**C**^{n} *26 april 1996***Henrik Delin**- Pointwise estimates of the weighted Szegö kernel in
**C**^{n}, cont'd *8 maj 1996***Jörgen Boo**- Canonical homotopy operators for debar in strictly pseudoconvex domains [Andersson-Boo]
- Abstract: We discuss a metric that is
natural when studying the debar complex in
strictly pseudoconvex domains. Well-known estimates for solutions of
the debar equation are naturally formulated in this metric.
Furthermore this metric has a crucial connection to the boundary
metric on a domain in higher dimension.

Then we define homotopy operators for debar that are canonical with respect to this metric. Some basic facts are explored.

It turns out that well-known solution operators for debar are approximately the canonical ones, and this will probably be the subject of a forthcoming KASS seminar. *15 maj 1996***Mats Andersson**- Canonical homotopy operators for debar in strictly pseudoconvex domains, cont'd [Andersson-Boo]
*22 maj 1996***Xavier Massueda**, Barcelona- Interpolating sequences in Bergman spaces
*29 maj 1996***Thomas Hansson**- L
^{2}-boundedness for a "Henkin-Ramirez operator" in the domain - |z
_{1}|^{2p1}+ ... + |z_{n}|^{2pn}< 1 in C^{n}, where p_{i}are postive integers *18 juni 1996***John Wermer**, Brown University- Interpolation in the bidisk