分野別セミナー

拡大版九大ポロジーセミナー
開催日：1月28日(火)
場所：W1-D-725
プログラム：
13:00〜14:00 北澤直樹氏（九州大学）
14:30〜15:30 小島道氏（九州大学）
16:00〜17:00 Boldizsar Kalmar 氏（Eotvos Lorand University/Budapest University of Technology and Economics）
講演はすべて英語です。

【講演要旨】 Classifying Morse functions on manifolds is a fundamental and natural problems on Morse theory and applications to differential topology of manifolds. Such studies are, surprisingly, developing recently. We present
history of related studies and we also present our related recent result: a classification of Morse functions such that
the preimages of single points containing no critical points are disjoint unions of spheres and tori, on 3-dimensional
closed manifolds represented as connected sums of copies of $S^1 \times S^2$ and Lens spaces.
This is regarded as a higher dimensional version of a classification of Morse functions on closed surfaces via Reeb
graphs, by Michalak (2018), for example. The Reeb graph of a smooth function is the space of all components of
preimages of single points where components having critical points are vertices. Reeb graphs have been
fundamental tools in theory of Morse functions and singularity theory, and also important in our study.