- 27 augusti 1997
- KASS-gruppen
- Planering av höstens verksamhet
- 11 september 1997
- Yasha Eliashberg, Stanford University, USA
- Topology of 2-knots and Symplectic geometry
- 12 september 1997
- Yasha Eliashberg, Stanford University, USA
- Contact Structures on 3-manifolds
- 17 september 1997
- Bo Berndtsson
- Asymptotically holomorphic funtions in several variables. (Joint
with M. Andersson.)
- 24 september 1997
- Nikolay Shcherbina
- Pseudoconcave pluripolar sets in C^{2}
(after N. Levenberg & Z. Slodkowski).
- 1 oktober 1997
- Nikolay Shcherbina
- Pseudoconcave pluripolar sets in C^{2}
(after N. Levenberg & Z. Slodkowski), cont'd.
- 8 oktober 1997
- Mats Andersson
- Non-holomorphic functional calculus for several commuting
operators.
This is a continuation of the KASS seminar 17/9, but no precise memories
from this talk will be required. Let
a_{1},...,a_{n} be bounded operators on a
Banach space, with joint spectrum
\sigma(a)\subset C^{n}. We discuss the resolvent
\omega_{z-\alpha}, which is an operator-valued
Dolbeault cohomology class in C^{n}\
\sigma(a). In the case when
\sigma(a)\subset R^{n} and with a certain growth
condition on ||\omega_{z-a}|| we can extend the
wellknown holomorphic functional calculus to a larger one, containing
nonholomorphic functions. In particular, we present a sharp condition
for the existence of a non-quasianalytic functional calculus.
- 15 oktober 1997
- Nikolay Shcherbina
- A non-removable generic 4-ball in the unit sphere of C^{3}
(joint with B. Jöricke)
- 22 oktober 1997
- Nikolay Shcherbina
- A non-removable generic 4-ball in the unit sphere of C^{3}
(joint with B. Jöricke), continued
- 29 oktober 1997
- Johan Karlsson
- The Montessus de Ballore theorem in several variables
It has long been known that the Montessus de Ballore theorem on
convergence of rational interpolants is only true in one
dimension. None the less a candidate for the name has recently been
proved. The trick should sound familiar to numerical analysts: Instead
of interpolating, obtain a least squares solution of an unsolvable
interpolation problem.
- 19 november 1997
- Bo Berndtsson
- Komplex dynamik i flera variabler (efter Mattias Jonsson)
- 26 november 1997
- Bo Berndtsson
- Komplex dynamik i flera variabler (efter Mattias Jonsson), forts.
- 3 december 1997
- Mats Andersson
- Simplexfunktionaler och Fantappiètransformen
- 10 december 1997
- Mats Andersson
- Simplexfunktionaler och Fantappiètransformen, forts
- 22 januari 1998
- Aline Bunami, Université d'Orleans
- TBA
- 23 januari 1998
- Thomas hansson
- Disputation: On Represenation Theorems for Hardy Spaces in
Several Complex Variables.
- 28 januari 1998
- Bo Berndtsson
- Ickeexistens av Leviplatta hyperytor i P^{2}
(efter Ohsawa-Sibony).
- 11 februari 1998
- Nikolay Shcherbina
- The Dirichlet problem for Levi-flat graphs over unbounded domains
(Joint with G. Tomassini)
- 18 februari 1998
- Nikolay Shcherbina
- The Dirichlet problem for Levi-flat graphs over unbounded
domains, continued
- 18 mars 1998
- Mats Aigner
- The Ginzburg-Landau vortex equation in R^{2}
- 1 april 1998
- Jie Xiaou, Uppsala
- The Q_{p} corona theorem.
For p\in (0,1), let Q_{p} be the subspace of Möbius bounded
functions in the Dirichlet type space. Based on the study of
multipliers on Q_{p} we establish the corona theorem for Q_{p}.
- 14 april 1998
- John Wermer, Brown University
- Linking numbers and boundaries of analytic varieties.
- 21 april 1998
- Finnur Larusson, Western Ontario
- Holomorphic functions of slow growth on nested covering spaces
of complex manifolds.
- 22 april 1998
- G. Tomassini, Scuola Normale Superiore (Pisa)
- Subsets of C^{2} and Parabolic Problem for the
Levi Equation
- 24-26 april 1998
- Nordan-98
- 29 april 1998
- Cladio Rea (Rom)
- Smooth CR-maps
- 6 maj 1998
- Andrei Domrin, Moskva
- Holomorphic functions and embedded real surfaces (after S. Nemirovski)
The talk is devoted to the study of necessary and sufficient
topological conditions for an embedded real surfaceto lie in a
strictly pseudoconvex domain on a complex surface. These results are
used to construct Stein domains on algebraic manifolds and to describe
envelopes of holomorphy of real surfaces in
CP^{2} and in some other complex surfaces.
- 13 maj 1998
- Nikolay Kruzhilin, Moskva
- Realization in C^{2} of Stein surfaces fibered
over a disc.
The problem of the realization of a Stein manifold fibered over a
planar domain as a (fibered) subdomain of a linear space is
discussed. An example of a 2-dimensional manifold fibered by discs but
not equvialent to a subdomain of C^{2} is constructed.
- 14 maj 1998
- Jeff McNeal, Ohio State University
- Global regularity of the $\bar\partial$-Neumann problem
- 15 maj 1998
- Henrik Delin
- Disputation: Weighted Estimates in Complex Analysis and some Inequalities in
Riemannian Geometry
This thesis deals with problems from two different fields of
mathematics in the four included papers. The first two papers treat
problems from harmonic analysis on Riemannian manifolds. Papers 3
and 4 give weighted estimates related to the $\bar\partial$ equation in
several complex variables, and should be considered the main part of
this thesis.