九州大学 研究者情報
発表一覧
佐伯 修(さえき おさむ) データ更新日:2023.11.13

教授 /  マス・フォア・インダストリ研究所 基礎理論研究部門


学会発表等
1. Osamu Saeki, Round fold maps of n-dimensional manifolds into (n − 1)-dimensional Euclidean space, Seminar at Heidelberg University, 2023.03.
2. Osamu Saeki, Generalization of Reeb Spaces and Application to Data Visualization, 2023 SIAM Conference on Computational Science and Engineering, 2023.03.
3. 佐伯修, Differentiable maps on links of complex isolated singularities, 可微分写像の特異点論とその応用,鈴木正彦先生退職記念研究集会, 2023.02.
4. Osamu Saeki, Special generic maps I, II, Singular fibers of generic maps I, II, Simplifying generic maps I, II,(連続6講演), Singularity theory and geometric topology, 2022.10.
5. Osamu Saeki, Institute of Mathematics for Industry: its uniqueness, strength and prospects, The 6th RIKEN-IMI-ISM-NUS-ZIB-MODAL-NHR Workshop on Advances in Classical and Quantum Algorithms for Optimization and Machine Learning, 2022.09.
6. 佐伯修, ジェネリックな可微分写像の大域的特異点論, 2022年度秋季総合分科会, 2022.09, One of the most popular methods to study the topological structure of a given differentiable manifold is to use Morse functions. Such functions can be regarded as generic differentiable maps into the real line. Then, what happens if we consider generic maps into general dimensional Euclidean spaces or manifolds? This might have been a motivation of Whitney or Thom around the middle of the 20th century for studying singularities of differentiable maps between manifolds. In this talk, following such an idea, the speaker surveyed some studies of structures of manifolds by using generic differentiable maps, and some global studies of generic differentiable
maps with singularities themselves, including recent developments..
7. Osamu Saeki, Topology of Reeb spaces of smooth functions on manifolds, 17th International Workshop on Real and Complex Singularities, 2022.07.
8. 佐伯修, Simplifying generic mappings into S^2 and R^2, 研究集会「位相幾何・微分幾何及びその周辺分野への特異点論の応用」, 2022.06.
9. 佐伯修, Topology of Reeb spaces of smooth functions on manifolds, 研究集会「多様体と特異点」佐伯修還暦記念研究集会, 2022.05.
10. O. Saeki, Graduate Program of Mathematics for Innovation - Nurturing Mathematical Modeling Talents with Mathematics Five Forces, The 3rd International Symposium on AI Electronics, 2022.02.
11. O. Saeki, Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space, JSPS-VAST Bilateral Joint Research Project Workshop "Singularities, arrangements, and low-dim. topology", 2021.12.
12. O. Saeki, Reeb diagram and visualization of monodromy, Fiber Topology Meets Applications 2, 2021.12.
13. 佐伯修, 九大IMIにおける産業界・諸科学分野との連携と人材育成の取組, 社会課題は数理科学で解決できる!? -試みと課題-, 2021.10.
14. O. Saeki, Institute of Mathematics for Industry ― driving force of mathematics for the future, 5th ZIB-RIKEN-IMI-ISM MODAL Workshop on Optimization, Data Analysis and HPC in AI, 2021.09.
15. 佐伯修, 安定写像の非特異ファイバーのなす絡み目と特異点集合の位置, 研究集会「結び目理論」, 2021.09.
16. O. Saeki, Collaborative Activities in Research and Education at the Institute of Mathematics for Industry, MYHIMS-C SPECIAL SESSION "Industrial Mathematics in Asia Pacific and European Region", MYHIMS-C 2021, Malaysia, 2021.08.
17. O. Saeki, Quick Survey of Reeb Spaces in Topology and Visualization, 高次元多様体の世界の幾何的構成的な理解と高次元データへの応用, 2021.07.
18. O. Saeki, Round fold maps on 3-manifolds, 特異点論の未来, 2021.06.
19. Osamu Saeki, Data Visualization using Differential Topology, The 25th Annual Meeting in Mathematics: "Mathematics for Innovation Development", 2021.05, First, as director of the Institute of Mathematics for Industry (IMI), KyushuUniversity, I will give a brief introduction of IMI, including various activities in col-laboration with industrial partners. In the second part, I will explain how differentialtopology in Mathematics can provide novel techniques for visualization of large scaledata. In general, scientific data obtained by a simulation or an experiment can berepresented as a discrete set of sample points of a smooth map between manifolds.In computer science, visualization of such data has long been studied, and it hasbeen clarified that differential topological techniques are essential for such visualiza-tion. However, they are encountering various mathematical difficulties for furtherdevelopment. In this talk, we first survey existing techniques based on Morse the-ory. Then, we present recently developed visualization techniques based on singularfibers of generic maps and their Stein factorizations. We also present the reversedirection: in fact, these visualization techniques can also be used for the research ofsingularity theory in Mathematics as a new tool..
20. Osamu Saeki, Simplifying Indefinite Fibrations on 4-manifolds, Fiber Topology Meets Applications, 2021.01.
21. Osamu Saeki, Simplifying broken Lefschetz fibrations and trisections of 4-manifolds, Topology Seminar (Online Seminar), Kansas State University, 2020.10, [URL], We present explicit algorithms for simplifying the topology of indefinite fibrations on 4-manifolds, which include broken Lefschetz fibrations and indefinite generic maps, from the viewpoint of singularity theory. These algorithms allow us to give purely topological and constructive proofs of the existence of simplified broken Lefschetz fibrations on general 4-manifolds, and a theorem of Auroux-Donaldson-Katzarkov on the existence of simplified broken Lefschetz pencils on near-symplectic 4-manifolds. We moreover establish a correspondence between broken Lefschetz fibrations and trisections of 4-manifolds, and show the existence of simplified trisections on all 4-manifolds. Based on this correspondence, we provide several examples of simplified trisections..
22. Osamu Saeki, Reeb graphs of smooth functions on manifolds, 研究集会「可微分写像の特異点論とその応用」, 2019.12.
23. Osamu Saeki, Data visualization using differential topology, 2019 International Joint Conference on AI & Data Science: Mathematics and Applications, 2019.11.
24. Osamu Saeki, Manifolds admitting fold-cusp maps of certain restricted indices, 特異点論とトポロジー, 2019.07.
25. Osamu Saeki, PhD Program in Mathematics for Key Technologies - Attempt of Kyushu University, Mathematics for Industry in the Asia Pacific Area - Part 2 of 2, ICIAM2019 Minisymposium, 2019.07.
26. Osamu Saeki, Unlinking singular loci from regular fibers and its application to submersions, Lefschetz Pencils and Low dimensional Topology, 2019.06, [URL].
27. Osamu Saeki, Data visualization using differential topology, 2019 National Taiwan Normal University (NTNU)-Kyushu University Joint Forum, 2019.05.
28. Osamu Saeki, Examples from our Study Group Activities in Industrial Mathematics, Colloquium, Ajou University, 2019.03.
29. Osamu Saeki, Unlinking singular locus from regular fibers and its application to submersions, The 14th Kagoshima Algebra-Analysis-Geometry Seminar, 2019.02, [URL].
30. 佐伯修, Unlinking singular locus from regular fibers and its application to submersions, 接触構造、特異点、微分方程式及びその周辺, 2019.01, [URL].
31. Osamu Saeki, Examples from our Study Group Activities, The 2nd NIMS Industrial Math Problem Solving Workshop, 2018.12.
32. Osamu Saeki, Unlinking singular locus from regular fibers and its application to submersions, Geometry, Topology and Dynamics Seminar, Okinawa Institute of Science and Technology, 2018.10, [URL].
33. Osamu Saeki, Elimination of definite fold for simple stable maps, Real Algebraic Geometry and Singularity Theory Symposium (Memorial Conference of Masahiro Shiota), 2018.09.
34. Osamu Saeki, Simplifying broken Lefschetz fibrations and trisections of 4-manifolds, Four Dimensional Topology, 2018.09.
35. Osamu Saeki, Singular locus and regular fibers, do they link each other ?, 15th International Workshop on Real and Complex Singularities, 2018.07, [URL].
36. 佐伯修, Simplified broken Lefschetz fibrations and trisections of 4-manifolds, 研究集会 Intelligence of Low-dimensional Topology, 2018.05, [URL].
37. 佐伯修, 微分トポロジーを用いたデータの可視化, 2018年度精密工学会 春季大会シンポジウム「AIMaP 数学応用シンポジウム:精密工学と幾何学の新たな出会い」, 2018.03.
38. Osamu Saeki, Singular set and regular fibers, do they link each other?, 特異点論とその応用【泉屋周一先生退職記念研究集会】, 2018.02.
39. Osamu Saeki, Simplifying indefinite fibrations and trisections of 4-manifolds, The 13th Kagoshima Algebra-Analysis-Geometry Seminar, 2018.02.
40. 佐伯修, Simplifying indefinite fibrations on 4-manifolds, 半田山・代数・幾何セミナー, 2017.12.
41. Osamu Saeki, Elimination of definite fold II, 可微分写像の特異点論の局所的研究と大域的研究, 2017.11.
42. Osamu Saeki, Topologia das singularidades e teoria de nós, IV Encontro de Singularidades no Nordeste, 2017.11.
43. Osamu Saeki, A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces, Australian-Japanese Workshop on Real and Complex Singularities, 2017.09.
44. Osamu Saeki, Simplifying indefinite fibrations on 4-manifolds, Geometric and Algebraic Singularity Theory, 2017.09.
45. 佐伯修, Global aspect of singularity theory, ベクトル値滑層分割Morse理論の構築による多数目的最適化問題の解集合の可視化, 2017.09.
46. Osamu Saeki, A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces, PRIMA 3rd Congress, Singularities of Spaces and Mappings, 2017.08.
47. Osamu Saeki, Indefinite fibrations on differentiable 4-manifolds, Brazil-Mexico 3rd Meeting on Singularities, 2017.08.
48. Osamu Saeki, Introduction to singularity theory and fiber topology in multivariate data analysis, Topology, Computation and Data Analysis, Dagstuhl Seminar 17292, 2017.07.
49. 佐伯修, 安定写像の特異ファイバーとその応用, RIMS-IMI談話会, 2017.02.
50. Osamu Saeki, Indefinite fibrations on 4-manifolds, Differential Geometry, Lie Theory and Low Dimensional Topology, 2016.12.
51. Osamu Saeki, A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces, 可微分写像の特異点論とその応用, 2016.12.
52. 佐伯修, Stable maps on 3-manifolds and signatures of 4-manifolds with boundary, 研究集会「4次元トポロジー」, 2016.11.
53. 佐伯修, 微分トポロジーによるデータ可視化, 日本機械学会2016年度年次大会,産業に応える数学 ―幾何・統計・計算数学からものづくりへ―, 2016.09.
54. 佐伯 修, らせん転位の数学的表現の現状とその問題点, 結晶のらせん転位の数理, 2016.09.
55. 佐伯 修, トポロジーでデータ構造を解析する, 第10回設計情報学研究会, 2016.08.
56. 佐伯 修, 可微分多様体上の安定写像のトポロジー(I), (II), 研究集会「特異点の大域的研究」, 2016.06.
57. 佐伯 修, Daisuke Sakurai, Hamish Carr, Hsiang-Yun Wu, Takahiro Yamamoto, David Duke, Kenji Ono, Shigeo Takahashi, Visualizing Singular Fibers - UI & Impacts -, Software in Mathematics Demonstration Track in Hakata Workshop 2016, 2016.02.
58. 佐伯 修, 写像の特異点論とデータ可視化, 共共拠点研究会 RIMS1963-IMI2013, 2015.12.
59. 佐伯 修, Singularity theory and data visualization, The 3rd Franco-Japanese-Vietnamese Symposium on Singularities, 2015.12.
60. 佐伯 修, 組織構造の斬新な数学的解析手法~トポロジーとその考え方, 第67回白石記念講座「新しい世紀の形態計量学-数学と鉄鋼研究のコラボレーション-」, 2015.11.
61. 佐伯 修, Singularity Theory and Data Visualization, 第9回 La Trobe-Kyushu Joint Seminar on Mathematics for Industry, 2015.11.
62. 佐伯 修, Non-trivial real Milnor fibrations, Mini-Symposium “Topology and singularities”, 2015.10.
63. 佐伯 修, 安定写像と多様体のトポロジー, 日本数学会2015年度秋季総合分科会, 2015.09.
64. 佐伯 修, Singularity theory and data visualization, Geometric Singularity Theory, Polish-Japanese Singularity Theory Working Days, 2015.09.
65. 佐伯 修, 組織構造の斬新な数学的解析手法 ~ トポロジーとその考え方, 鉄鋼インフォマティクス研究会第6回研究会, 2015.09.
66. 佐伯 修, Cobordism group of Morse functions on surfaces with boundary, Brazil-Mexico 2nd Meeting on Singularities - 2015, 2015.07, [URL].
67. 佐伯 修, New examples of non-trivial real Milnor fibrations, Singularities in Generic Geometry and applications, 2015.06, [URL].
68. 佐伯 修, Topology of singular fibers for visualization, Topology-Based Methods in Visualization 2015, 2015.05, [URL].
69. 佐伯 修, Singular fibers and data visualization, 可微分写像の特異点論とその応用, 2014.12.
70. 佐伯 修, やわらかい幾何学、トポロジーでデータ構造を解析する, 九州大学テクノロジーフォーラム2014,セッションII, 2014.12.
71. 佐伯 修, Non-trivial real Milnor fibrations, 多様体のトポロジーの展望, 2014.11.
72. 佐伯 修, New examples of non-trivial real Milnor fibrations, Workshop on Singularities, Geometry, Topology and Related Topics, 2014.09, We first classify Neuwirth-Stallings pairs of dimension two in the 5-sphere, using the topology of certain configuration spaces. As an appliction, we construct polynomial map germs $(R^6, 0) \to (R^3, 0)$ with an isolated singularity at the origin such that their associated Milnor fibrations are non-trivial, thus putting an end to Milnor's non-triviality question. Furthermore, for certain real polynomial map germs, we study the conditions under which the associated Milnor fiber has the homotopy type of a bouquet of spheres. We then construct, for every pair $(n, p)$ with $n/2 > p > 2$, a new example of a polynomial map germ $(R^n, 0) \to (R^p, 0)$ with an isolated singularity at the origin such that its Milnor fiber has the homotopy type of a bouquet of a positive number of spheres..
73. 佐伯 修, Connected components of regular fibers of differentiable maps, 19th Brazilian Topology Meeting, 2014.08.
74. 佐伯 修, Singular fibers and visualization of multivariate data, 13th International Workshop on Real and Complex Singularities, 2014.08, In this talk, we first classify singular fibers of stable maps of compact 3-manifolds with boundary into surfaces. Then, we give two applications. One is a construction of a certain cobordism invariant for functions on surfaces with boundary. As the second application, we use the singular fibers to visualize three dimensional multivariate data, by combining a recent technique in computer science, callded the joint contour net..
75. 佐伯 修, Visualizing multivariate data using singularity theory, Visiting Lecture at Center for Advanced Studies, 2014.04.
76. 佐伯 修, Singular fibers of differentiable maps and low dimensional topology II, Visiting Lecture at Center for Advanced Studies, 2014.03.
77. 佐伯 修, Desingularizing special generic maps, Visiting Lecture at Institute of Mathematics, 2014.03.
78. 佐伯 修, Singular fibers of differentiable maps and low dimensional topology I, Visiting Lecture at Center for Advanced Studies, 2014.03.
79. 佐伯 修, Topology of manifolds and global theory of singularities, One day workshop on hypersurface singularity and its link manifolds, 2014.01.
80. 佐伯 修, 現代のトップテクノロジー,トポロジーを使ったデータ構造の解析 ~トポロジー技術を用いた分子構造解析とデータ可視化~, 数学メガネからみたイノベーション, 2013.12, 現代数学のトップテクノロジーであるトポロジーの歴史、アイデアについて簡単に紹介したあと、その現実的な問題への応用、特に分子構造解析と、データ構造解析への応用について、数学を必ずしも専門とはしない聴衆を相手にわかりやすく講演する。.
81. 佐伯 修, Topology of manifolds and global theory of singularities, 可微分写像の特異点論とその周辺, 2013.11.
82. 佐伯 修, Visualizing multivariate data using singularity theory, Forum “Math-for-Industry” 2013 -The Impact of Applications on Mathematics-, 2013.11, This is a talk on recent developments in visualization of large data, especially that of multivariate volume data. We present two essential ingredients. The first one is the mathematical background, especially the singularity theory of differentiable mappings, which enables us to capture topological features of given multivariate data in a mathematically rigorous way. The second one is a new development in computer science, called the joint contour net, which can encode topological structures of a given set of multivariate data in an efficient and robust way. Some applications to real data analysis are also presented..
83. 佐伯 修, Desingularizing special generic maps, The 1st Franco-Japanese-Vietnamese Symposium on Singularities (and The 7th Franco-Japanese Symposium on Singularities), 2013.09.
84. 佐伯 修, On study group activities, Seminarios do LMACC, 2013.08.
85. 佐伯 修, Topology of quasi-homogeneous isolated hypersurface singularities, Seminarios de Singularidades, 2013.08.
86. 佐伯 修, マス・フォア・インダストリ活動について, Kobe Studio Seminar for Mathematics, 2013.07.
87. 佐伯 修, モース関数とそのレーブグラフ入門, Kobe Studio Seminar for Mathematics, 2013.07.
88. 佐伯 修, Broken Lefschetz fibrations and their moves, Special Session “Singularities in Geometry and Topology”, The Second Pacific Rim Mathematical Association Congress (PRIMA2013), 2013.06.
89. 佐伯 修, Desingularizing special generic maps, Topology Seminar, 2013.06.
90. 佐伯 修, Broken Lefschetz fibrations and their moves, Geometry and topology of smooth 4-manifolds, 2013.06.
91. OSAMU SAEKI, Topology of quasi-homogeneous isolated hypersurface singularities, 可微分写像の特異点論とその応用, 2012.12, 擬斉次多項式の特異点のトポロジーについてのサーベイ講演を行った。.
92. OSAMU SAEKI, Novas aplicações das matemáticas na indústria, Palestra, 2012.11, 数学の産業応用について、特にマス・フォア・インダストリ研究所の活動と、可微分写像の特異点論のデータ可視化への応用について紹介した。.
93. OSAMU SAEKI, Desingularizar aplicações genéricas especiais, Seminarios de Singularidades, 2012.11, スペシャル・ジェネリック写像を余次元1はめ込みに持ち上げることについて、種々の結果を得た。.
94. OSAMU SAEKI, Desingularizing special generic maps, 東京工業大学 大岡山談話会, 2012.11, スペシャル・ジェネリック写像を余次元1はめ込みに持ち上げることについて、種々の結果を得た。.
95. OSAMU SAEKI, Broken Lefschetz fibrations and their moves, 第59回トポロジーシンポジウム, 2012.08, 特異レフシェッツ束の変形理論を紹介し、それを用いて折り目特異点集合への制限が埋め込みになっているものにいつでも変形できることを示した。.
96. OSAMU SAEKI, Broken Lefschetz fibrations with embedded fold image, 特異点論と幾何構造, 2012.05, 特異レフシェッツ束の変形理論を紹介し、それを用いて折り目特異点集合への制限が埋め込みになっているものにいつでも変形できることを示した。.
97. Osamu Saeki, Cobordism of knots associated with complex hypersurface singularities, トポロジー金曜セミナー, 2012.04, 複素超曲面特異点に付随して現れる結び目の同境類について,最近得られた結果について報告した..
98. Osamu Saeki, Topology of definite fold singularities, Geometric Topology Seminar, 2012.03, 定値折り目特異点のトポロジーについて,最近得られた結果について報告した..
99. Osamu Saeki, Topology of definite fold singularities, Séminaire GT3, 2012.03, 定値折り目特異点のトポロジーについて,最近得られた結果について報告した..
100. Osamu Saeki, Topology of definite fold singularities, Topology Seminar, 2012.03, 定値折り目特異点のトポロジーについて,最近得られた結果について報告した..
101. Osamu Saeki, Desingularizing special generic maps, The 7th Kagoshima Algebra–Analysis–Geometry Seminar, 2012.02, スペシャル・ジェネリック写像の特異点を,余次元1はめ込みや埋め込みによって解消する問題について,最近得られた結果について報告した..
102. Osamu Saeki, Topology of definite fold singularities, The 4th Japanese-Australian Workshop on Real and Complex Singularities, 2011.11, 定値折り目特異点のトポロジーについて,最近得られた結果について報告した..
103. Osamu Saeki, Cobordism of knots defined by Brieskorn polynomials , The 19th TAPU Seminar on Knots and Related Topics, 2011.09, 複素超曲面特異点に付随して現れる結び目の同境類について,最近得られた結果について報告した..
104. Osamu Saeki, Survey on knots associated with complex hypersurface singularities, The 19th TAPU Seminar on Knots and Related Topics, 2011.09, 複素超曲面特異点に付随して現れる結び目について,サーベイ講演を行った..
105. Osamu Saeki, 定値折り目特異点の消去と特異レフシェッツ束, 近畿大学数学教室談話会, 2011.07, 定値折り目特異点の消去と特異レフシェッツ束について,最近得られた結果について報告した..
106. Osamu Saeki, 定値折り目特異点の消去と特異レフシェッツ束, 大阪大学数学教室談話会, 2011.06, 定値折り目特異点の消去と特異レフシェッツ束について,最近得られた結果について報告した..
107. Osamu Saeki, Lifting special generic maps, 特異点論とその応用, 2011.05, スペシャル・ジェネリック写像を余次元1でのはめ込みや埋め込みに持ち上げる問題について,最近得られた結果について報告した..
108. 佐伯修, 多値関数データのための位相に基づく視覚的データ解析, 「拡がっていく数学」 平成22年度 数学・数理科学と諸科学・産業技術分野の連携ワークショップ《CGによる可視化と数学》, 2011.03, 可微分写像の特異点論を,多値関数データのための視覚的データ解析(データの可視化)に応用することについて,高橋成雄氏と共同研究を行い,可微分写像の特異ファイバーの理論が,そのようなコンピュータサイエンスの理論に応用できることが明らかになった..
109. Osamu Saeki, Topology of definite fold singularities, 第6回代数・解析・幾何学セミナー, 2011.02, 多様体間の可微分写像で,定値折り目特異点しか持たない写像の存在・非存在が,多様体の可微分構造と密接に関連していることを,これまでの結果のサーベイとともに解説した..
110. Osamu Saeki, Connected components of regular fibers of differentiable maps, Topology of singularities and related topics, II, 2011.01.
111. Osamu Saeki, Elimination of definite fold and broken Lefschetz fibrations, 研究集会「4次元トポロジー」, 2010.11.
112. Osamu Saeki, Cobordism of algebraic knots defined by Brieskorn polynomials, 空間認識のための特異点論, 2010.06.
113. 佐伯修, Special generic maps on open 4-manifolds, 研究集会「4次元トポロジー」, 2010.01.
114. Osamu Saeki, Special generic maps on open 4-manifolds, 可微分写像の特異点論とそれに関連する幾何学, 2009.12.
115. 佐伯修, Singular fibers of differentiable maps and 4-dimensional cobordism group, トポロジーと写像の特異点, 2009.06.
116. 佐伯修, Singular fibers of differentiable maps and 4-dimensional cobordism group, 研究集会「4次元トポロジー」, 2009.01.
117. Osamu Saeki, Fibras singulares e cobordismos em dimensão 4, Colóquio de Matemática, 2008.12.
118. 佐伯修, 可微分写像の特異ファイバーと同境群, 近畿大学数学教室講演会, 2008.10.
119. 佐伯修, モース写像の同境と写像芽の位相不変量, トポロジー金曜セミナー, 2008.10.
120. Osamu Saeki, Cobordism of Morse maps and its application to map germs, Informal Seminar, 2008.08.
121. 佐伯修, Cobordism of Morse maps and its application to map germs, The second Japanese-Australian Workshop on Real and Complex Singularities, 2007.11.
122. 佐伯修, Seeking for invariants of manifolds, 大域的特異点論の問題-安藤良文先生還暦記念研究集会-, 2007.10.
123. 佐伯修, 特異点と特性類 --- 具体例の果たす重要な役割, 日本数学会 2007 年度秋季総合分科会, 2007.09.
124. 佐伯修, Morse functions with sphere fibers, 埼玉大学談話会, 2007.01.
125. 佐伯修, Total width が 8 以下の2次元結び目について, 4次元トポロジー研究集会, 2007.01.
126. 佐伯修, 可微分写像の特異ファイバーとその応用, 大岡山談話会, 2006.12.
127. 佐伯修, Elimination of definite fold, トポロジー金曜セミナー, 2006.11.
128. 佐伯修, Morse functions with sphere fibers, 特異点論とオーミニマルカテゴリー, 2006.11.
129. 佐伯修, 折り目写像が存在するための障害について, 広島大学トポロジー・幾何セミナー, 2006.10.
130. 佐伯修, 可微分写像の特異ファイバーとその応用, 筑波大学数学系月例談話会, 2006.06.
131. 佐伯修, Generic smooth maps with sphere fibers, 近畿大学数学教室講演会, 2006.03.
132. 佐伯修, Singular fibers of differentiable maps and characteristic classes of surface bundles, 広島トポロジー研究集会(3・4次元数学を目指して), 2006.02.
133. 佐伯修, Elimination of definite fold, Generic Differential Geometry --Singularities and Differential Geometry--, 2005.11.
134. 佐伯修, Generic smooth maps with sphere fibers, 特異点と幾何学のワークショップ, 2005.10.
135. 佐伯修, Theory of singular fibers of differentiable maps and characteristic classes of surface bundles I, リーマン面に関連する位相幾何学, 2005.09.
136. 佐伯修, Introduction to singular fibers of differentiable maps: theory and examples, 特異点における不変量, 2005.06.
137. 佐伯修, Concordance of 4-dimensional knots, 日本数学会年会, 2005.03.
138. 佐伯修, Universal complex of singular fibers and cobordism of singular maps, 日本数学会年会, 2005.03.
139. 佐伯修, Topology of manifolds and singularities of differentiable maps, 多様体のトポロジーの未来へ, 2004.11.
140. 佐伯修, Universal complex of singular fibers and cobordism of singular maps, はこだて特異点研究集会, 2004.10.
141. 佐伯修, Generic smooth maps with sphere fibers, トポロジー金曜セミナー, 2004.04.
142. 佐伯修, Cobordism of surfaces embedded in S^4, トポロジー火曜セミナー, 2004.01.
143. 佐伯修, 曲面結び目のコボルディズム, 4次元トポロジー研究集会, 2004.01.
144. 佐伯修, Pull back relation for non-spherical knots, トポロジー金曜セミナー, 2003.10.
145. 佐伯修, Submersions avec plis sur les varietes de dimension quatre, Seminaire GT3, IRMA, 2003.05.
146. 佐伯修, 安定写像の特異ファイバーと4次元多様体の符号数, 4次元のトポロジー, 2003.01.
147. 佐伯修, Fold maps on 4-manifolds, 実・複素特異点のトポロジーII, 2002.12.
148. 佐伯修, Open book structures on highly connected manifolds, 日本数学会秋季総合分科会, 2002.09.
149. 佐伯修, Fold maps on 4-manifolds, International Conference on Topology in Matsue 2002 joined with The Second Japan-Mexico Topology Symposium, 2002.06.
150. 佐伯修, 4次元多様体上の折り目写像について, 4次元トポロジー研究集会, 2002.01.
151. 佐伯修, 安定写像と4次元トポロジー, 日本数学会年会, 2001.03.
152. 佐伯修, Open books and isotopy of 4-manifolds, XII Encontro Brasileiro de Topologia, 2000.08.
153. 佐伯修, Stable maps and their singular fibers, The 6th Workshop on Real and Complex Singularities, 2000.07.
154. 佐伯修, Topology of singular fibers of stable maps, 特異点論と力学系, 2000.06.
155. 佐伯修, 特異曲面のオイラー標数公式とその応用, 曲面,線叢,偏微分方程式, 2000.01.
156. 佐伯修, Topics from global theory of singularities of differentiable mappings I, II, 関西微分解析セミナー, 1999.11.
157. 佐伯修, Generic maps into the plane which lift to standard embeddings in codimension two, いろいろなカテゴリーでの多様体のトポロジーと特異点, 1999.09.
158. 佐伯修, On algebraic unknotting numbers of knots, 日本数学会年会, 1999.03.
159. 佐伯修, On punctured 3-manifolds in S^5, 日本数学会年会, 1999.03.
160. 佐伯修, 微分位相幾何学への応用, Encounter with Mathematics 第10回 応用特異点論 − 数学(厳密科学)としてのカタストロフ理論をめざして, 1999.02.
161. 佐伯修, A primary obstruction to topological embeddings and its applications, 第25回変換群論シンポジウム, 1998.10.
162. 佐伯修, Embedding of quaternion space in S^4, 日本数学会秋季総合分科会, 1998.10.
163. 佐伯修, Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane, XI Brazilian Meeting of Topology, 1998.08.
164. 佐伯修, Euler characteristic formulas for simplicial maps and their applications, 5th Workshop on Real and Complex Singularities, 1998.07.
165. 佐伯修, Euler characteristic formulas for simplicial maps and their applications, Topology of singularities, 1998.02.
166. 佐伯修, 微分可能写像の特異点の消去問題について, トポロジー・シンポジウム, 1998.07.
167. 佐伯修, Finiteness results for knots and singularities, Singularities in Geometry and Topology, 1998.07.

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