Séminaire Calcul Formel
# Computing cohomology intersection numbers of GKZ systems

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Europe/Paris

https://webconf.lal.cloud.math.cnrs.fr/b/tri-k7a-zmz
#### https://webconf.lal.cloud.math.cnrs.fr/b/tri-k7a-zmz

Description

In the theory of special functions, a particular kind of

multidimensional integral appears frequently. It is called the Euler

integral. In order to understand the topological nature of the integral,

twisted de Rham cohomology theory plays an important role. In this talk,

we propose an algorithm of computing an invariant "cohomology intersection

number". The algorithm is based on the fact that the Euler integral

satisfies a GKZ system and utilizes algorithms to find rational solutions

of differential equations. This talk is based on a joint work with Nobuki

Takayama. The main article is available here: http://www.math.kobe-u.ac.jp/OpenXM/Math/intersection2/Article4.pdf