[ 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 24 Aug 2018. 16:30--18:00
Title : Homotopy theory of gauge groups over high dimensional closed manifolds
Speaker : Ruizhi Huang (Chinese Academy of Science)
Room : A-427, Faculty of Science, Shinshu University
Abstract : The homotopy types of gauge groups have been investigated by many experts in the latest twenty years. So far the works mainly focus on bundles over 4-dimensional manifolds, the gauge theory of which play a crucial role in Donaldson's theory. In this talk, we will study the homotopy theory of gauge groups over higher dimensional manifolds. For instance, we will study the gauge groups over (n-1)-connected 2n-manifolds, the classification of which was determined by Wall and Freedman. We will further investigate other 2n-manifolds and sphere bundles as well based on the work of James and Whitehead. For dimension 5 which is the first high dimension (in the sense, for instance, of surgery theory), we will study gauge groups over non-simply-connected 5-manifolds, where the fundamental groups play a role. We will show many homotopy decompositions of gauge groups under the mentioned cases. The methods also valid for rational cases, and reveal periodicity of homotopy groups of gauge groups as well.
Monday 3 Sep 2018. 16:30--18:00
Title : Logarithmic residues and Solomon-Terao formula for subspace arrangements
Speaker : Delphine Pol (Hokkaido University)
Room : A-427, Faculty of Science, Shinshu University
Abstract : In the case of hyperplane arrangements, the Solomon-Terao formula gives a relation between the characteristic polynomial and the modules of logarithmic differential forms of the arrangement. In this talk, we will study the case of equidimensional subspace arrangements of higher codimension. We will show that any line arrangement satisfies a generalized Solomon-Terao formula in which the modules of logarithmic residues appear. This formula is also satisfied by some examples of higher dimensional subspace arrangements, but we will see that there exist subspace arrangements for which the generalized formula is not satisfied.

Apr. 2018 -- Mar. 2019

Wednesday 18 Apr 2018. 16:30--18:00
Speaker : Ryuki Kaneta (Hokkaido University)
Room : A-427, Faculty of Science, Shinshu University
Wednesday 23 May 2018. 16:30--18:00
Speaker : Takahiro Matsuyuki (Tokyo Institute of Technology)
Room : A-427, Faculty of Science, Shinshu University
Friday 1 Jun 2018. 16:30--18:00
Title : Solving Partial Assignment Problems using Random Clique Complexes
Speaker : Manohar Kaul (Indian Institute of Technology Hyderabad)
Room : A-427, Faculty of Science, Shinshu University
Wednesday 4 Jul 2018. 16:30--18:00 ** Joint with colloquium in Faculty of Economics and Law **
Speaker : Kohei Tanaka (Shinshu University)
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