## Future seminars

### 2019/03/05

#### Tuesday Seminar of Analysis

16:50-18:20   Room #128 (Graduate School of Math. Sci. Bldg.)
Nicholas Edelen (Massachusetts Institute of Technology)
The structure of minimal surfaces near polyhedral cones (English)
[ Abstract ]
We prove a regularity theorem for minimal varifolds which resemble a cone $C_0$ over an equiangular geodesic net. For varifold classes admitting a no-hole'' condition on the singular set, we additionally establish regularity near the cone $C_0 \times R^m$. Our result implies the following generalization of Taylor's structure theorem for soap bubbles: given an $n$-dimensional soap bubble $M$ in $R^{n+1}$, then away from an $(n-3)$-dimensional set, $M$ is locally $C^{1,\alpha}$ equivalent to $R^n$, a union of three half-$n$-planes meeting at $120$ degrees, or an $(n-2)$-line of tetrahedral junctions. This is joint work with Maria Colombo and Luca Spolaor.

#### Seminar on Mathematics for various disciplines

10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)

### 2019/03/22

#### Colloquium

13:00-17:00   Room #大講義室 (Graduate School of Math. Sci. Bldg.)
Shu NAKAMURA (The University of Tokyo) 13：00-14：00
Mathematical structures of quantum mechanics and classical mechanics (日本語)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~shu/
Tomohide TERASOMA (The University of Tokyo) 14:30-15:30
Algebraic cyles, Periods and Motives (日本語)
[ Reference URL ]
http://gauss.ms.u-tokyo.ac.jp/index-j.html
Takashi TSUBOI (The University of Tokyo) 16:00-17:00
Research on groups of homeomorphisms (日本語)
[ Abstract ]
The homeomorphisms of a topological space form a group. The group seems to be too wild to be considered. In some cases it becomes a countable group but it is usually uncountable group. I have studied groups of homeomorphisms of topological spaces or groups of diffeomorphisms of manifolds which are related to invariants of foliations. I found several relationship between dynamical properties of group actions and homology of groups. There are many unsolved problems on the group of
homeomorphisms. I also intend to investigate more on the shape of groups. I would like to talk on such topics around groups of homeomorphisms.
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~tsuboi/