INVESTIGADORES
DICKENSTEIN Alicia Marcela
congresos y reuniones científicas
Título:
Hypergeometric series with algebro-geometric dressing
Autor/es:
A. DICKENSTEIN
Lugar:
San Francisco, USA
Reunión:
Congreso; FPSAC 22; 2010
Institución organizadora:
San Francisco State University
Resumen:
<!-- /* 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";} @page Section1 {size:595.3pt 841.9pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> Important classical functions as well as generating functions associated to combinatorial objects are given by series whose coefficients satisfy hypergeometric recurrences. Following Gelfand, Kapranov and Zelevinsky, who defined A-hypergeometric systems satisfied by suitable homogeneous versions of classical hypergeometric functions, we will present joint work with Eduardo Cattani, Laura Matusevich, Fernando Rodríguez Villegas, Timur Sadykov and Bernd Sturmfels, to describe the structure of rational hypergeometric series in two variables and the ocurrence of finite solutions to hypergeometric recurrences.
