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RIMS

2016 RIMS Joint Research: Developments in Computer Algebra

A joint research for examining prospects and future direction of computer algebra.

Program

7th September (Wed)

10:30 - 12:30
Pre session: Basic Theory in Computer Algebra
12:30 - 13:30
Lunch
13:30 - 13:35
Opening remarks
13:35 - 14:55 (general session)
  • Reformulation of Algorithm of Extended Hensel Construction for Sparse Multivariate Polynomials
    Tateaki Sasaki (University of Tsukuba), Daiju Inaba (The Mathematics Certification Institute of Japan)
  • Multivariate Approximate GCD Computation via Extended Hensel Construction and Its Stabilization : Part1
    Masaru Sanuki (University of Tsukuba), Daiju Inaba (The Mathematics Certification Institute of Japan), Tateaki Sasaki (University of Tsukuba)
15:05 - 16:25 (general session)
  • Calculating matrix inverse by the extended Horner's rule with pseudo minimal polynomial II
    Shinichi Tajima (University of Tsukuba), Katsuyoshi Ohara (Kanazawa University), Akira Terui (University of Tsukuba)
  • A robust algorithm for sparse interpolation of multivariate polynomials
    Dai Numahata (Tokyo University of Science)

8th September (Thu)

09:00 - 10:20 (general session)
  • Computing limiting tangent spaces via parametric local cohomology systems
    Katsusuke Nabeshima (Tokushima University), Shinichi Tajima (University of Tsukuba)
  • Computer algebra and Bruce-Roberts-Milnor number
    Takeshi Izawa (Hokkaido University of Science), Katsusuke Nabeshima (Tokushima University), Shinich Tajima (University of Tsukuba)
10:30 - 11:50 (general session)
  • An algorithm for computing Hilbert-Samuel multiplicities of primary ideals of CM local rings
    Takafumi Shibuta (Kyushu University), Shinichi Tajima (University of Tsukuba)
  • An algorithm and implementation for computing Grothendieck local residues in the case of shape bases
    Katsuyoshi Ohara (Kanazawa University), Shinichi Tajima (University of Tsukuba)
11:50 - 12:50
Lunch
12:50 - 13:50 Invited Talk
  • Computer Algebra, the beginning and basic theory
    Tateaki Sasaki (University of Tsukuba)
14:00 - 15:00 Invited Talk
  • Computer Algebra, the recent topics and future
    Kazuhiro Yokoyama (Rikkyo University)
15:10 - 16:40
Main session: Re-Formation of Basic Theory

9th September (Fri)

09:00 - 10:20 (general session)
  • Complex geometry of Blaschke products and associated circumscribed conics
    Masayo Fujimura (National Defense Academy)
  • Tuning of Transfer Properties of the Filter Which Is a Polynomial of a Resolvent Expressed in the Form of the Chebyshev Expansion
    Hiroshi Murakami (Tokyo Metropolitan University)
10:30 - 11:50 (general session)
  • CGS-QE without saturation ideal computations
    Ryoya Fukasaku (Tokyo University of Science), Hidenao Iwane (Fujitsu Laboratories Ltd./National Institute of Informatics), Yosuke Sato (Tokyo University of Science)
  • Formula simplification for CGS-QE with inequality constraints
    Hidenao Iwane (Fujitsu Laboratories Ltd./National Institute of Informatics), Ryoya Fukasaku (Tokyo University of Science), Yosuke Sato(Tokyo University of Science)
11:50 - 11:55
Closing remarks
11:55 - 12:55
Lunch
12:55 - 14:55
Post session: Textbook in Japanese
Last modified: 25th August, 2016.