DANSK MATEMATISK FORENING MAT-NYT CALENDAR This document is a hard copy of all entries in the electronic Mat-Nyt calendar of the Danish Mathematical Society covering the period 2004-1-1 – 2004-2-1. Produced Thu Jan 5, 2006 1 MAT-NYT The Danish National Research Foundation Network in Mathematical Physics and Stochastics Mathematical Physics Seminar A Hamiltonian model for linear friction Stephan de Bievre, Villeneuve d’Ascq, France Mon Jan 19 2004, 14:15 - 15:15 Abstract I will present a Hamiltonian model of a particle coupled to a suitable wave field, describing the particle’s environment, in which a simple version of Ohm’s law is valid. When an external force is applied, the particle reaches asymptotically a constant speed proportional to the applied field. I will review the related literature, compare this phenomenon to the one of radiative dissipation, and indicate some of the many open problems Organized by MPS Editor 2004-01-16 13:44:36 (
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[email protected] ) 2 MAT-NYT INSTITUT FOR MATEMATISKE FAG MATEMATISK AFDELING KØBENHAVNS UNIVERSITET ALGEBRA SEMINAR The Inverse problem in Gr¨obner basis theory Amelia Taylor, Assistant Professor, St. Olaf College USA Mon Jan 19 2004, 15:15 Abstract Given an ideal in a polynomial ring its initial ideal is easy to compute and is well studied using Gr¨obner basis theory. However, given a monomial ideal what can we say about the types of ideals it is the initial ideal for, that is do we know anything about the inverse problem for Gr¨obner basis theory? This question as stated is currently considered to be too broad, however progress has been made in determining when a monomial ideal is the initial ideal of a prime ideal and in most of the known cases we can we construct the prime ideal.