Saiei-Jaeyeong MATSUBARA-HEO |
Saiei-Jaeyeong MATSUBARA-HEO
Department of Mathematics,
Graduate School of Science, Kobe University |
Division : Applied Mathematics
Assistant Professor |
Building B, Room 309
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| Research Field :
Systems of linear partial differential (difference) equations in the complex domain, hypergeometric functions in several variables
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| Research Summary :
I study the theory of hypergeometric functions in several variables in the complex domain from the viewpoint of the theory of partial differential (difference) equations. Recently, I focus on Gelfand-Kapranov-Zelevinsky system and study its monodromy representation, connection problem, and asymptotic analysis. I also introduce and study a combinatorial structure on the intersection theory of a rapid decay (co)homology group with local system coefficients associated to an integral representation of GKZ system.
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| Primary Publications : |
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S.-J. Matsubara-Heo, N. Takayama,
An algorithm of computing cohomology intersection number of hypergeometric integrals,
arXiv:1904.01253.
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S.-J. Matsubara-Heo,
Euler and Laplace integral representations of GKZ hypergeometric functions,
arXiv:1904.0056.
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S.-J. Matsubara-Heo, On Mellin-Barnes integral representations for GKZ hypergeometric functions,
Kyushu Journal of Mathematics, 74 (2020), 109--125.
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S.-J. Matsubara-Heo, Residue current approach to Ehrenpreis-Malgrange type theorem for linear differential equations with constant coefficients and commensurate time lags,
Advances in Mathematics, 331 (2018), 170--208.
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