Yoshiaki GOTO 
Yoshiaki GOTO
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Applied Mathematics
Assistant Professor 
Building B, Room 315

Research Field :
Hypergeometric functions


Research Summary :
I study hypergeometric functions with
Eulertype 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.


Primary Publications : 

Yoshiaki Goto, Functional equations for Appell's F_{1} arising from transformations of elliptic curves,
Funkcial. Ekvac. 56 (2013), no. 3, 379396.

Yoshiaki Goto, Twisted cycles and twisted period relations for Lauricella's hypergeometric function F_{C},
Internat. J. Math. 24 (2013), no. 12, 1350094, 19 pp.

Yoshiaki Goto and Keiji Matsumoto, The monodromy representation and twisted period relations for Appell's hypergeometric function F_{4},
to appear in Nagoya Math. J.


