Contents/conteúdo

Analysis, Geometry, and Dynamical Systems Seminar   RSS

Past sessions

Newer session pages: Next 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Newest 

21/06/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Anatole Katok, Pennsylvania State University

Some new results and constructions in Liouvillean dynamics

12/06/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
George Andrews, Pennsylvania State University

An old algorithm in a new era: MacMahon's partition analysis

In the late 1890's, Major Percy Alexander MacMahon developed his Partition Analysis with the object of proving his conjectures on plane partitions. While writing at length on this topic and clearly indicating its power, MacMahon eventually admitted that he was unable to apply his new tool to solve any of his conjectures on plane partitions.

In this talk, we shall begin by examining MacMahon's method from a purely elementary point of view and shall illustrate its power by considering questions of general interest such as: How many triangles are there with integer sides and perimeter n? Our object will be to illustrate the broad utility of a 19th century idea that is only now coming into its own in the era of computer algebra.

05/06/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
António Serra, Instituto Superior Técnico

Interpolating sequences

31/05/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
C. Maeve McCarthy, Murray State University, Kentucky

Optimal control of a chemotaxis system

Chemotaxis is the process by which cells aggregate under the force of a chemical attractant. The cell and chemoattractant concentrations are governed by a coupled system of parabolic partial differential equations. We investigate the optimal control of the proportion of cells being generated. The optimality system contains forward and backward reaction-diffusion and convection-diffusion equations. A numerical scheme is discussed that addresses the special needs of this coupled system.

This is joint work with K. Renee Fister, Murray State University.

24/05/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
David Costa, University of Nevada, Las Vegas

Problemas Não-Lineares em Ressonância

22/05/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Fernando Pablos Romo, Universidad de Salamanca

Local symbols on algebraic curves

In 1968 John Tate gave a definition of the residues of differentials on curves in terms of traces of certain linear operators on infinite-dimensional vector spaces. The aim of the talk is to give a new definition of two local symbols on algebraic curves (the Tame Symbol and the Hilbert's Norm Residue Symbol) from the commutator of a central extension of groups. This definition, which involves topics of Steinberg symbols, is valid for curves over a perfect field. Moreover, when the curve is complete, analogously to Tate's construction the reciprocity laws of both symbols can be deduced from the finiteness of the cohomology groups H 0(C,O C) and H 1(C,O C).

17/05/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
David Costa, University of Nevada, Las Vegas

Métodos Variacionais em Equações Diferenciais

15/05/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Pedro Martins Rodrigues, Instituto Superior Técnico

Bowen-Franks groups as invariants for T n-automorphisms

08/05/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Ana Barroso, Universidade de Lisboa

Um resultado de relaxação no espaço das funções de deformação limitada

24/04/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Luís Sanchez, Universidade de Lisboa

Heteroclínicas para uma Equação de Quarta Ordem Conservativa

19/04/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Mark Vishik, IITP, Russian Academy of Sciences

Attractors for equations of mathematical physics

10/04/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Pennsylvania State University

On the Existence of Bernoulli Diffeomorphisms with Nonzero Lyapunov Exponents on Compact Smooth Manifolds

03/04/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Mark Vishik, IITP, Russian Academy of Sciences

Attractors for non-autonomous evolution equations

29/03/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
, Carnegie Mellon University

Remarks about diffusion mediated transport

Diffusion mediated transport is implicated in the operation of many molecular level systems. These include some liquid crystal and lipid bilayer systems, and, especially, the motor proteins responsible for eukaryotic cellular traffic. All of these systems are extremely complex. In this expository talk we address the basic elements of transport in an environment of diffusion, concentrating on the flashing rachet. We illustrate how to characterize the properties of this process in terms of a Markov chain. It is of essential importance to understand what it means to determine a Markov chain in this manner, namely, the sense in which the discrete problem is an accurate description of the original continuous one. Here we are able to exploit some novel concepts about the dynamics of evolutionary systems including an appeal to the classical Monge transfer problem. This perspective illuminates the fundamental connection between the two problems and presents an opportunity for future applications.

This is joint work with Michal Kowalczyk.

13/03/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexander Sharkovsky, Institute of Mathematics, National Academy of Sciences of Ukraine

Boundary value problems and dynamical systems

08/03/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building
Antonio Linero, Universidad de Murcia

On the periodic structure of sigma-permutation maps on In and Tn

05/03/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Instituto Superior Técnico

Métodos de equações diferenciais para sistemas hamiltonianos II

05/03/2001, 11:00 — 12:00 — Room P4.35, Mathematics Building
, Instituto Superior Técnico

Métodos de equações diferenciais para sistemas hamiltonianos I

22/02/2001, 11:30 — 12:30 — Room P3.10, Mathematics Building
, The Weizmann Institute of Science

Singularly perturbed ordinary differential equations: an overview. II

22/02/2001, 10:00 — 11:00 — Room P3.10, Mathematics Building
, The Weizmann Institute of Science

Singularly perturbed ordinary differential equations: an overview. I

Older session pages: Previous 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 Oldest


CAMGSD FCT