Japanese version
Hiroshima Complex Analysis Seminar

2014 academic year
Special Seminar:
Workshop on Geometry of the equations of Fuchsian type
 Date: December 5 (Fri)  6 (Sat)
 Place: B707, Fac. Sci., Hiroshima University
 Speakers: Kazuki HIROE (Josai Univ.), Shingo KAMIMOTO (Kyoto Univ.), Yasunori OKADA (Chiba Univ.)
 HP (in Japanese)
No. 3
 Date: September 10 (Wed) 15:00  16:00
 Place: B702, Fac. Sci., Hiroshima University
 Speaker: Masaki HIBINO (Meijo University)
 Title: On the summability of divergent power series solutions for complex analytic differential equations
 Abstract:

When we have obtained divergent power series solutions for differential equations with complex variables, some new problems arise. One of them is the problem of "(k) summability" of such divergent solutions.
In this talk, we first introduce main results in the theory of ordinary differential equations for this problem. Next we introduce the result which was obtained by LutzMiyakeSchäfke, for heat equations, and explain the difference between ordinary differential equations and partial differential equations. Finally, we explicate some results for partial differential equations of nilpotent type which have been studied by the speaker so far.
No. 2
 Date: July 18 (Fri) 15:00  16:00
 Place: B707, Fac. Sci., Hiroshima University
 Speaker: Sampei HIROSE (Shibaura Institute of Technology)
 Title: Exact WKB analysis for systems of partial differential equations and versal unfoldings
 Abstract:

The exact WKB analysis is mainly developed for ordinary differential equations. In this talk, we consider the exact WKB analysis for systems of partial differential equations. In particular, we discuss the following topics:
1) The relationship between the new Stokes curve of the BNR equation and the Stokes surface of the Pearcey system
2) The WKBtheoretic transformation for a system of partial differential equations near a cusp of the set of turning points
3) The relationship between this transformation and versal unfoldings
No. 1
 Date: July 2 (Wed) 15:00  16:00
 Place: B702, Fac. Sci., Hiroshima University
 Speaker: Hiroshi YAMAZAWA (Shibaura Institute of Technology)
 Title: Holomorphic and singular solutions of qBriotBouquet type equaions
 Abstract:

In 1990, Gérard and Tahara gave the definition of the BriotBouquet type equations for nonlinear first order partial differential equations, and constructed all solutions on a function class with a singularity at t=0.
In this talk we consider existences of holomorphic solutions and singular solutions on the function class of qdifferencedifferential equations.
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Past seminars
Organizers
Makoto ABE (Graduate School of Science, Hiroshima University)
Yoshikatsu SASAKI (Graduate School of Science, Hiroshima University)
Tetsu SHIMOMURA (Graduate School of Education, Hiroshima University)
Kazuhiro TAKIMOTO (Graduate School of Science, Hiroshima University)
Kentaro HIRATA (Graduate School of Science, Hiroshima University)
Yoshihiro MIZUTA (Faculty of Engineering, Hiroshima Institute of Technology)
Masafumi YOSHINO (Graduate School of Science, Hiroshima University)
Contact
Last update: November 20, 2014
Revised: July 10, 2015
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