Yoshiaki GOTO |
Yoshiaki GOTO
Department of Mathematics,
Graduate School of Science, Kobe University |
Division : Applied Mathematics
Assistant Professor |
Building B, Room 315
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| Research Field :
Hypergeometric functions
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Research Summary :
I study hypergeometric functions with
Euler-type integral representations.
I take advantage of the twisted (co)homology groups
induced from the integral representation,
and of the intersection forms on them.
By using these tools, I try to find new functional equations and
investigate the monodromy representations and the Pfaffian systems.
Hypergeometric functions appear as period integrals
of some algebraic varieties.
I am also interested in the algebraic or analytic structure of
these varieties.
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| Primary Publications : |
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Yoshiaki Goto, Functional equations for Appell's F1 arising from transformations of elliptic curves,
Funkcial. Ekvac. 56 (2013), no. 3, 379-396.
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Yoshiaki Goto, Twisted cycles and twisted period relations for Lauricella's hypergeometric function FC,
Internat. J. Math. 24 (2013), no. 12, 1350094, 19 pp.
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Yoshiaki Goto and Keiji Matsumoto, The monodromy representation and twisted period relations for Appell's hypergeometric function F4,
to appear in Nagoya Math. J.
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