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Department of Mathematics] [Shinshu University] Matsumoto, 390-8621 |
Editor of this web site; Keiichi Sakai ---ksakai(at)math.shinshu-u.ac.jp |
[ Schedule ] [ Archives ] [ Participants ] [ Algebraic Toplogy: A guide to literature ] [ Japanese ]
Title : | A Nullstellensatz for ideals of C^{∞} functions |
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Speaker : | Hirofumi Kondo (Ninomiya High School) |
Room : | A-427, Faculty of Science, Shinshu University |
Abstract : | Let J be a finitely generated ideal of C^{∞} functions on an open subset of R^{n} and J^{*} the set of all C^{∞} functions vanishing on the zeros of J. J. Bochnak conjectures that J^{*}=J if and only if J is real and closed with respect to C^{∞} topology. J. J. Risler shows that above Bochnak's conjecture is affirmative in the case of n=2 and restricted n=3, however it is still open in another situations. In this talk, I would like to introduce my result that J^{*} has a concrete expression using by J in the case of n=2 under weak conditions. Then in the case of n=2, we have that Bochnak's conjecture is affirmative, and it is an another proof of Risler's result. |
Title : | The space of short ropes and the classifying space of the space of long knots |
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Speaker : | Keiichi Sakai (Faculty of Science, Shinshu University) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | A Convenient Fibered Category for Representation Theory |
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Speaker : | Atsushi Yamaguchi (Osaka Prefecture University, 5th Cluster, Mathematics) |
Room : | A-427, Faculty of Science, Shinshu University |
Juno Mukai | Professor emeritus, Shinshu University |
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Hideyuki Kachi | Professor emeritus, Shinshu University |
Kojun Abe | Faculty of Science, Shinshu University |
Kazuhiko Takano | School of General Education, Shinshu University |
Katsuhiko Kuribayashi | Faculty of Science, Shinshu University |
Dai Tamaki | Faculty of Science, Shinshu University |
Yoshihiro Hirato | Nagano National College of Technology |
Atsuko Katanaga | School of General Education, Shinshu University |
Masamichi Takase | Faculty of Science and Technology, Seikei University |
Kiyonori Gomi | Faculty of Science, Shinshu University |
Keiichi Sakai | Faculty of Science, Shinshu University |
Yasuhide Numata | Faculty of Science, Shinshu University |
Mayuko Kon | Faculty of Education, Shinshu University |
Takahisa Shiina | Academic Support Center, Kogakuin University |
Kazunori Noguchi | Academic Support Center, Kogakuin University |
Kouhei Tanaka | Faculty of Economics and Law, Shinshu University |
Takahito Naito | Graduate School of Mathematical Sciences, The University of Tokyo |
Kentaroh Matsuo | Faculty of Education for Future Generations, International Pacific University |
Ken-ichiro Shinkai | Interdisciplinary Graduate School of Science and Technology, Shinshu University |
Yasuhiro Momose | Interdisciplinary Graduate School of Science and Technology, Shinshu University |