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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 : | Generalized Long-Moody functors and homology with twisted coefficients |
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Speaker : | Arthur Soulié (Institut de Recherche en Mathématique Avancée, Université de Strasbourg) |
Room : | A-427, Faculty of Science, Shinshu University |
Abstract : | I will present the generalization of a construction due to Long and Moody gave on representations of braid groups. This associates a representation of B_{n} with a representation of B_{n+1}. This construction complexifies in a sense the initial representation: for instance, starting from a dimension one representation, one obtains the unreduced Burau representation. The generalizations of this construction to other families of groups will be done for automorphism groups of free groups, mapping class groups of orientable and non-orientable surfaces or mapping class groups of 3-manifolds. Each construction of Long and Moody defines an endofunctor, called a Long-Moody functor, on a suitable category of functors. After defining notions of polynomial functors in this context, the Long-Moody functors increase by one the degree of polynomiality. Thus, the Long-Moody constructions will provide new examples of twisted coefficients corresponding to the framework developed by Randal-Williams and Wahl in 2015 to prove homological stability with certain twisted coefficients for different families of groups, in particular the aforementioned ones. |
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 |
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 |
Title : | Symmetry of mapping classes, quadratic differentials and outer automorphisms |
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Speaker : | Hidetoshi Masai (Mathematical Science Group at AIMR, Tohoku University) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | Indices of Z_{2}-spaces and Hedetniemi's conjecture |
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Speaker : | Takahiro Matsushita (Faculty of Science, Kyoto University / JSPS Research fellow (PD)) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | The Picard group of a stable homotopy category |
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Speaker : | Ryo Kato (Faculty of Fundamental Science, National Institute of Technology, Niihama College) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | Mod p homology of the classifying space of a gauge group |
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Speaker : | Daisuke Kishimoto (Faculty of Science, Kyoto University) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | Configuration space of intervals with partially summable labels |
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Speaker : | Shingo Okuyama (Department of Information Engineering, Kagawa College) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | Kontsevich's characteristic classes for Diff(S^{4}) |
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Speaker : | Tadayuki Watanabe (Department of Mathematics, Shimane University) |
Room : | A-427, Faculty of Science, Shinshu University |
Title : | Space of knots in manifolds and right A-infinity modules of configuration spaces |
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Speaker : | Syunji Moriya (Graduate School of Science, Osaka Prefecture University) |
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 |