Binomials, hypergeometric functions and mass action kinetics chemical reaction network

A. DICKENSTEIN

Coventry, Inglaterra

Conferencia; Colloquium, Department of Maths, U. Warwick, Inglaterra; 2010

Universidad de Warwick

<!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} p {mso-margin-top-alt:auto; margin-right:0cm; mso-margin-bottom-alt:auto; margin-left:0cm; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> A binomial is a polynomial with two terms. Algebraic varieties cut out by binomials have a rich combinatorial structure. In the first part ot the talk we shall highlight basic -yet not so known- facts about binomial systems as basic blocks in the study of general polynomial systems. In the second part, we shall concentrate on two occurrences of binomials in a differential setting: in the beautiful formulation by Gelfand, Kapranov and Zelevinsky of multivariate hypergeometric systems of linear PDE´s, and in the reversible mass action kinetics chemical reaction systems of non linear ODE´s.