[ Department of Mathematics]
[Shinshu University]
Matsumoto, 390-8621
Editor of this web site;
Keiichi Sakai
---ksakai(at)math.shinshu-u.ac.jp
Shinshu Topology Seminar

[ Schedule ] [ Archives ] [ Participants ] [ Algebraic Toplogy: A guide to literature ] [ Japanese ]


Schedule

Friday 28 June 2019. 16:30--18:00
Title : Representations of Hopf algebras as group actions
Speaker : Atsushi Yamaguchi (Osaka Prefecture University)
Room : A-427, Faculty of Science, Shinshu University
Abstract : By regarding Hopf algebras over a field K as group objects of the opposite category of the category of K-algebras, the notion of comodules over Hopf algebras is formulated as representations of group objects. In this talk, we first briefly review the general definition of representations of group objects in terms of fibered category. Next we introduce a fibered category of modules over the opposite category of the category of K-algebras and a fibered category of functorial modules over the category of presheaves on the category of K-algebras. There is a fully faithful embedding the former fibered category into the latter fibered category which lifts the Yoneda embedding between the base categories. By using this embedding, we can transform comodules over Hopf algebras to functorial modules with actions of affine group scheme represented by the Hopf algebras. We give an example of representation of finite subgroups of the affine group scheme represented by the dual Steenrod algebra in the above context.
Wednesday 24 July 2019. 16:30--18:00
Speaker : Kiyonori Gomi (Shinshu University)
Room : A-427, Faculty of Science, Shinshu University

Apr. 2019 -- Mar. 2020

Thursday 9 May 2019. 16:30--18:00
Title : Complete classification of Lie algebras attached to Clifford modules and an application
Speaker : Kenro Furutani (Tokyo University of Science)
Room : A-427, Faculty of Science, Shinshu University
Wednesday 5 June 2019. 16:30--18:00
Title : Brane coproducts and vanishing of cup products on sphere spaces
Speaker : Shun Wakatsuki (The University of Tokyo)
Room : A-427, Faculty of Science, Shinshu University

Archives


Participants of the seminar

Juno Mukai Professor emeritus, Shinshu University
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 Liberal Arts and Sciences, Nippon Institute of Technology
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