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Analysis, Geometry, and Dynamical Systems Seminar   RSS

Past sessions

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13/11/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Jorge Silva, Instituto Superior Técnico

Conjugação de Operadores Pseudo-Diferenciais por Operadores Integrais de Fourier

08/11/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Bastien Fernandez, Centre de Physique Théorique, CNRS, Luminy

Dynamics of two coupled unimodal maps

05/11/2001, 14:30 — 15:30 — Room P3.10, Mathematics Building
David E. Evans, Cardiff University

The irrational rotation algebra

23/10/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Gyula Farkas, Centro de Análise Matemática, Geometria e Sistemas Dinâmicos

Discretizing delay equations with small delay

18/10/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Luís Silva, Universidade de Évora

Famílias de aplicações unidimensionais com descontinuidades

09/10/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Instituto Superior Técnico

Linking and causality

25/09/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Instituto Superior Técnico

(Des)igualdades entre médias no interior e na fronteira

18/09/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Bernard Dacorogna, Ecole Polytechnique Fédérale, Lausanne

On the existence and regularity of solutions of du=f

13/09/2001, 16:00 — 17:00 — Room P3.10, Mathematics Building
Melanie Bertelson, Max-Planck Institut für Mathematik, Bonn

Regular Poisson manifolds and their foliations

A regular Poisson manifold can be described as a foliated space supporting a tangentially symplectic form. As was discussed in a previous talk, such forms are solutions of a certain partial differential relation that can be shown to satisfy the h-principle when some natural condition on the underlying foliated space, namely that of being uniformly open is fulfilled. Examples of foliations will be presented in this talk that are not induced by any Poisson structure although the basic obstructions vanish. In particular, these foliated spaces are not uniformly open.

13/09/2001, 14:30 — 15:30 — Room P3.10, Mathematics Building
Pierre Bielavski, Université Libre de Bruxelles

Non formal deformation quantizations and Lie group actions

I will present a few aspects of convergent star product theory involving star representation techniques. The main goal is to define a class of non-commutative differential manifolds via explicit universal deformation formulae for (non-Abelian) group actions on Fréchet algebras. In the examples considered here, these formulae will be of two types: oscillatory integral and analytic. The first kind may be interpreted as finite dimensional versions of Cattaneo-Felder's formulae for Kontsevich star products on symplectic manifolds in presence of curvature. The second kind is based on deformations of Gelfand-Shilov's spaces of type S. Analytic continuations of those yield non-commutative (Fréchet) function algebras containing observables with exponential growth, unlike in the (topological) C * framework. The methods used to produce these formulae comes from symmetric spaces and harmonic analysis on Lie groups.

26/07/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Andrea Brini, Università degli Studi di Bologna

An introduction to topological methods in the theory of posets II. The Möbius function as an Euler characteristic

24/07/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Andrea Brini, Università degli Studi di Bologna

An introduction to topological methods in the theory of posets I. Galois connections and a theorem of Quillen

19/07/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Paulo Lima-Filho, Texas A&M University

Intersection products in algebraic geometry

17/07/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Juan-Pablo Ortega, École Polytechnique Fédérale de Lausanne

Singular dual pairs and optimal momentum maps

13/07/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Roger Plymen, University of Manchester

Noncommutative geometry and number theory III

12/07/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Roger Plymen, University of Manchester

Noncommutative geometry and number theory II

11/07/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Roger Plymen, University of Manchester

Noncommutative geometry and number theory I

10/07/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Christian Wolf, Indiana University

On measures of maximal and full dimension for polynomial automorphisms of C2

05/07/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Thomas Krajewski, ICTP, Trieste

Common algebraic structures in differential equations and renormalization

03/07/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Nuno Martins, Instituto Superior Técnico

K0 -groups for Cuntz-Krieger algebras arising from iterated maps on the interval

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