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Seminar on Geometric Complex Analysis
Seminar information archive ～06/07｜Next seminar｜Future seminars 06/08～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2017/05/15
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Kota Hattori (Keio University)
On the moduli spaces of the tangent cones at infinity of some hyper-Kähler manifolds
Kota Hattori (Keio University)
On the moduli spaces of the tangent cones at infinity of some hyper-Kähler manifolds
[ Abstract ]
For a metric space (X,d), the Gromov-Hausdorff limit of (X,and) as an→0 is called the tangent cone at infinity of (X,d). Although the tangent cone at infinity always exists if (X,d) comes from a complete Riemannian metric with nonnegative Ricci curvature, the uniqueness does not hold in general. Colding and Minicozzi showed the uniqueness under the assumption that (X,d) is a Ricci-flat manifold satisfying some additional conditions.
In this talk, I will explain a example of noncompact complete hyper-Kähler manifold who has several tangent cones at infinity, and determine the moduli space of them.
For a metric space (X,d), the Gromov-Hausdorff limit of (X,and) as an→0 is called the tangent cone at infinity of (X,d). Although the tangent cone at infinity always exists if (X,d) comes from a complete Riemannian metric with nonnegative Ricci curvature, the uniqueness does not hold in general. Colding and Minicozzi showed the uniqueness under the assumption that (X,d) is a Ricci-flat manifold satisfying some additional conditions.
In this talk, I will explain a example of noncompact complete hyper-Kähler manifold who has several tangent cones at infinity, and determine the moduli space of them.
