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https://ritsumei-ac-jp.zoom.us/meeting/register/tJUqdOutpzIvG9fQavTjgLFfLygSkpmnhRvs
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Zoomミーティングは幾何学セミナーと同じものです。
入門セミナー
日時：2022年2月27日（月） 15:00–16:00
会場：ウェストウィング6階談話会室 および Zoomミーティング
講演者：Carlos Meniño氏 (Vigo 大学)
タイトル： An introduction to the theory of (codimension one) foliations
アブストラクト：
We present a brief survey on fundamental results of the theory of codimension one foliations on closed manifolds: terminology, basic concepts and constructions and relevant theorems (as Reeb stability). We shall focus on some results that only work for codimension one foliations (and some of them only with some regularity assumptions): Dippolito’s decomposition theorem, Hector and Kopell lemmas or Sacksteder and Duminy theorems.”
立命館大学幾何学セミナー
日時：2022年2月27日（月） 16:30–17:30
会場：ウェストウィング6階談話会室 および Zoomミーティング
講演者：Carlos Meniño氏 (Vigo 大学)
タイトル： Exotic non-leaves: exotic 4-manifolds not diffeomorphic to leaves
アブストラクト：
Understanding what kind of manifolds can be realized as leaves of some kind of foliation on some kind of manifold is an old question in the theory of foliations, this is the so called ‘realization problem’. We are interested in the following (also old) question: can some exotic R4 be diffeomorphic to a leaf of some codimension one foliation on a closed 5-manifold? In a joint work with P. Schweitzer (PUC Rio) we show that some families of exotic R4 cannot be diffeomorphic to leaves of codimension one foliations of class C2. In class C1 the question is still open but we have shown that some exotic smoothings on R4 punctured along suitable tame closed sets cannot be ralized as leaves of codimension one foliation (in any reasonable regularity). The non-punctured case is still open but we shall present a good candidate of exotic R4 not diffeomorphic to a leaf in any regularity (this is work in progess).
日本語