第73回 微分同相群のトポロジー Smale予想を巡って 2019 年 3 月 16 日 (土) 10:00 於 東京都 文京区 春日 中央大学理工学部 5 号館 5534 教室 3 月 16 日 (土) 10:00 11:00 11:20 12:20 13:50 14:50 15:
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1 第73回 微分同相群のトポロジー Smale予想を巡って 2019 年 3 月 16 日 (土) 10:00 於 東京都 文京区 春日 中央大学理工学部 5 号館 5534 教室 3 月 16 日 (土) 10:00 11:00 11:20 12:20 13:50 14:50 15:10 16:10 16:30 17:30 17:40 微分同相群は Lie 群 だろうか 4 次元球面の微分同相群 グラフホモロジー: 定義と応用 グラフクラスパーと 4 次元球面束 4 次元球面束の Kontsevich 特性類の計算 佐藤肇氏 (元名古屋大) 渡邉忠之氏 (島根大 総合理工) 逆井卓也氏 (東大 数理) 渡邉忠之氏 (島根大 総合理工) 渡邉忠之氏 (島根大 総合理工) ワインパーティー 懇親会 別紙の趣旨に沿った集会の第 73 回を以上のような予定で開催いたします 非専門家向けに入門的な 講演をお願い致しました 多くの方々のご参加をお待ちしております 講演者による講演内容へのご 案内を添付いたしますので御覧下さい 尚 この集会は 科学研究費補助金 基盤研究 (A) Floer 理論の深化と symplectic 構造の研究 課題 番号 代表 小野 薫 (京大 数理研) 科学研究費補助金 基盤研究 (B) 結び目理論とその諸 科学への応用の研究 課題番号 16H03928 代表 下川 航也 (埼玉大 理工) 科学研究費補助金 基盤 研究 (B) シンプレクティック微分リー代数の構造とモジュライ空間の特性類 課題番号 15H03618 代表 逆井 卓也 (東大 数理) および科学研究費補助金 基盤研究 (B) ３ ４ ５次元上の葉層 接 触 シンプレクティック構造の研究 課題番号 17H02845 代表 三松 佳彦 (中央大 理工) からの支 援を受けています. 連絡先 東京都文京区春日 中央大学理工学部数学教室: ENCOUNTER with MATHEMATICS: homepage : 三松 佳彦 : yoshi@math.chuo-u.ac.jp / 高倉 樹 : takakura@math.chuo-u.ac.jp Stephen Smale (born July 15, 1930). The original image was taken fromwikipedia.
2 EwM: Lie Lie G M M G/H M Diff(M) Diff(M) Omori strong ILH Lie group (inverse limit of Hilbert Lie group) Lie M Diff(S 2 ), Diff(S 3 ) O(3), O(4) Smale, Hatcher Lie CW n 7 Diff(S n ) CW Antonelli-Burghelea-Kahn diffeomorphism H space Diff(M) semi-simplical complex Diff(M) : Diff(M) k-simplex k M k M diffeomorphism, k : ( ) (2016); 2, ( ).
3 1. 4 Smale 3 Diff(S 3 ) 4 O(4) Hatcher Smale 4 4 Smale Diff(S 4 ) O(5) 4 Smale T. Watanabe, Some exotic nontrivial elements of the rational homotopy groups of Diff(S 4 ), arxiv: Smale 4 3 Goussarov- ( ) Chern-Simons Kontsevich Kontsevich Kontsevich Chern-Simons Chern- Simons 3 Kontsevich Morse 3
4 : Kontsevich : [1] J. Conant, K. Vogtmann, On a theorem of Kontsevich, Algebr. Geom. Topol. 3 (2003), [2] M. Kontsevich, Formal (non)commutative symplectic geometry, in: The Gel fand Mathematical Seminars, , Birkhäuser, Boston (1993) [3] M. Kontsevich, Feynman diagrams and low-dimensional topology, in: First European Congress of Mathematics, Vol. II (Paris, 1992), Progr. Math. 120, Birkhäuser, Basel (1994)
5 ENCOUNTER with MATHEMATICS (, d après Rencontres Mathématiques) France Lyon Ecole Normale Supérieure de Lyon RENCONTRES MATH- EMATIQUES ENCOUNTER with MATHEMATICS ( ) 4 France 2 Rencontres Mathématiques 4 Seminaire Bourbaki ( ) France Surveys in Geometry Rencontres Mathématiques Seminaire Bourbaki 1 1 level Rencontres Mathématiques 5 3 level Seminaire Bourbaki ENS-Lyon Rencontres Mathématiques ENS. Lyon , 3, Turaev, De la Harpe, Turaev, Boileau,Turaev 3 Douady, Kenyon, Douady, Tan Lei, Douady 5 1 Sullivan, Tsuboi, Sullivan, Zeghib, Sullivan ENS.-Lyon ENS. Lyon ENS. Lyon. Rencontres Mathématiques ENCOUNTER with MATHEMATICS - - up to date
6 ENCOUNTER with MATHEMATICS ( ) 1 FERMAT , ( ), ( ), ( ) , ( ), ( ) 3 5, ( ), ( ), ( ), ( ) 4 Mordell-Weil 9, ( ), ( ), ( ) 5 WEB 11, ( ), ( ) , ( ), ( ), ( ) 7 4, ( ), ( ), ( ) 8 TORIC 6, ( ), ( ), ( ), ( ) , ( ), ( ), ( ) , ( ), ( ), ( ) 11 4, ( ), ( ), ( ), ( ) 12 6, ( ), ( ), ( ), ( ) 13 10, ( ), ( ), ( ), ( ) 14 Lie , ( ), ( ), ( ) 15 4, ( ), ( /UC Berkeley), ( ), ( ), ( ) 16 Painlevé 6,7, ( ), ( ), ( ), ( ) 17 12, ( ),, ( ), ( ) 18 Poincaré , ( ), ( ), ( ), ( ), ( ) 19 Invitation to Diophantine Geometry 4, ( ), ( ), ( ) 20 9, ( ), ( ), ( ) 21 10, ( ), ( ), ( ) ( ) , ( ), ( ), ( ), ( ) 23 6 ( ), ( ), ( ) ( ) ( ) ( ) ( ) 25 Weil 12, ( ) ( ), ( ) ( ) , ( ), ( ), ( ) ( ) 27 4, ( ), ( ), ( ), ( ) 28 11, ( ), ( ), ( ), ( ) 29 12, ( ), ( ), ( ) 30 Symplectic , ( ), ( ), ( ), ( ), ( ) ,, ( ), ( ), ( ), ( ), ( ) , ( ), ( ), ( ) , ( ), ( ), ( ), ( ) 34 Painlevë , ( ), (UC Davis), ( ) , ( ), ( ), ( ) , ( ), ( ), ( ) , ( ), ( ), ( ) ( ) ( ) 38 - Kostant , ( ), ( ), ( ) ( ) 39 Lusternik-Schnirelmann , ( ), Elmar VOGT ( / ), ( ), ( ) , ( ), ( ), ( ) 41 Euler Euler Euler ,, ( ), Danny Calegari (Caltech/ ), ( ), ( ) 42 Euler Euler , ( ), ( ), ( ), ( )
7 43 Euler , ( ), ( ), ( ) , ( ), ( ), ( ), ( ), ( ) 45 McKay , ( ), ( ), ( ), John McKay(Concordia ), ( ) , ( ), ( ), ( ) , ( ), ( ), ( ), ( ) , ( ), ( ), ( ), ( ), ( ) , ( ), ( ), ( ), ( ) , ( ), ( ), ( ), ( ) Feynman , , ( ), ( ), ( ) ( ), ( ), ( ), ( ) , ( ), ( ), (McMaster Univ.) , ( ), ( ), ( ), ( ) , ( ), ( ), ( ) , ( ), ( ) , ( ),, ( ) , ( ) ( ) ( ) ( ) (Chicago ) , ( ), ( ) ( ) , ( ), ( ) ( ), ( ), ( ) , ( ), ( ) ( ) , ( ), ( ), ( ), ( ) , ( ), ( ) ( ) ( ) ( ) , ( ) ( ) ( ) ( ) , ( ) ( ) , ( ) ( ) ( ) ( ) 67 AGT , ( Kavli IPMU) ( ) ( ) ( ) ( ) , ( ) ( ) ( ) , ( IPMU) ( ) ( ) ( IMI) ( ) , ( AIMR) ( ) ( IMI) ( ) ( AIMR) , ( ) ( ) Neal Bez( ) ( ) 72 WKB , ( ) ( ) ( ) ( ) tel : yoshiatmath.chuo-u.ac.jp / takakuraatmath.chuo-u.ac.jp ) :
第63回 最適輸送理論とリッチ曲率 物を運ぶと曲率が分かる 2015 年 2 月 20 日 (金) 10:30 2 月 21 日 (土) 於 東京都 文京区 春日 月 20 日 (金) 10:30 11:45 中央大学理工学部 5 号館 12:05 13:05 14:30 15:
第63回 最適輸送理論とリッチ曲率 物を運ぶと曲率が分かる 2015 年 2 月 20 日 (金) 10:30 2 月 21 日 (土) 於 東京都 文京区 春日 1-13-27 2 月 20 日 (金) 10:30 11:45 中央大学理工学部 5 号館 12:05 13:05 14:30 15:30 15:50 16:50 17:10 18:00 モンジュの問題とモンジュ カントロヴィッチ問題
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