| 日時 | 4月13日(水) 16:30～17:30 |
|---|---|
| 講演者（所属） | 濱野 佐知子（大阪市立大学大学院理学研究科） |
| タイトル | Variational formulas for hydrodynamic differentials and the application (流体力学的微分の変分公式とその応用について) |
| 場所 | 数学大講究室 (理学部棟E408) |
| アブストラクト | For a fixed open Riemann surface $R$ of genus one, we shall consider the set $\mathcal C$ of closings of $R$. M. Shiba showed that the set $\mathfrak M$ of moduli of $\mathcal C$ is a closed disk in $\mathbb H$. In this talk, we shall consider the deforming open torus $R(t)$ with complex parameter $t$, and show the close relation between the Euclidean diameter of the moduli disk $\mathfrak M(t)$ of $R(t)$ and pseudoconvexity. The key of the proof is the variational formulas for hydrodynamic differentials. |
| 日時 | 5月11日(水) 16:30～17:30 |
|---|---|
| 講演者（所属） | Seonjeong Park （OCAMI） |
| タイトル | Cohomological rigidity problems in toric topology |
| 場所 | 数学大講究室 (理学部棟E408) |
| アブストラクト | One of most important topological invariants is a (co)homology. In general, (co)homology is not strong enough to determine the topological type. But in toric topology, cohomology can be a strong topological invariant. In many cases, the cohomology ring of a smooth manifold with a nice toric action can determine the topological type of the manifold. In this talk, I will introduce various kinds of cohomological rigidity problems in toric topology and give some results which support the affirmative answer to the cohomological rigidity problems. |
