| Speaker: | Kiyoshi Takeuchi (U Tsukuba) |
|---|---|
| Title: | Confluent A-hypergeometric functionsand rapid decay homology cycles |
| Date (JST): | Tue, Dec 13, 2011, 13:15 - 14:45 |
| Place: | Seminar Room A |
| Related File: | 567.pdf |
| Abstract: | In 1990, Gelfand, Kapranov and Zelevinskyproved that their A-hypergeometric functionsadmit integral representations. In this talk,we introduce a generalization of this resultto Adolphson's confluent A-hypergeometricfunctions. Hien's rapid decay homologycycles will be used to prove our main theorem.Moreover we obtain a formula for the asymptotic expansions at infinityof confluent $A$-hypergeometric functions.This is a joint work with A. Esterov(arXiv:1107.0402v2 [math.AG]). |
