[geometry-ml:06267] Geometric Analysis Seminar at 東大数理(4回目6月5日（木）14:00から2講演)

[本多 正平.]

幾何学メーリングリストのみなさま，

東大数理の本多正平と申します．
来週の6月5日(木)に東大数理で行われる「Geometric Analysis Seminar」の案内をするためにこのメールを書いています．

--第4回目の情報ここから--

【一人目の講演者】 Chao Li (New York University)
【場所】東大数理002号室
【時間】14:00-15:00
【タイトル】On the topology of stable minimal hypersurfaces in a homeomorphic S^4
【アブストラクト】Given an n-dimensional manifold (with n at least 4), it is
generally impossible to control the topology of a homologically
minimizing hypersurface M. In this talk, we construct stable (or
locally minimizing) hypersurfaces with optimal restrictions on its
topology in a 4-manifold X with natural curvature conditions (e.g.
positive scalar curvature), provided that X admits certain embeddings
into a homeomorphic S^4. As an application, we obtain black hole
topology theorems in such 4-dimensional asymptotically flat manifolds
with nonnegative scalar curvature. This is based on joint work with
Boyu Zhang.

【二人目の講演者】Ruobing Zhang (University of Wisconsin–Madison)
【場所】東大数理002号室
【時間】15:30-16:30
【タイトル】Poincaré-Einstein manifolds: conformal structure meets metric geometry
【アブストラクト】A Poincaré-Einstein manifold is a complete non-compact
Einstein manifold with negative scalar curvature which can be
conformally deformed to a compact manifold with boundary, called the
conformal boundary or conformal infinity. Naturally, such a space is
associated with a conformal structure on the conformal infinity. A
fundamental theme in studying these geometric objects is to relate the
Riemannian geometric data of the Einstein metric to the conformal
geometric data at infinity which is also called the AdS/CFT
correspondence in theoretical physics.

In this talk, we will explore some new techniques from the metric
geometric point of view, by which one can establish some new rigidity,
quantitative rigidity, and regularity results.

--第4回目の情報ここまで--

今後の予定は次のページでもアップロードしていきます；

https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/

みなさまのご参加をお待ちしております．

今野北斗
高津飛鳥
本多正平