イベントカレンダー

東工大幾何セミナー： Lars Martin Sektnan 氏

講演タイトル: Blowing up extremal Poincaré type manifolds
アブストラクト: 　An important topic in complex differential geometry is the search for a canonical metrics, such as Kähler metrics of constant scalar curvature. When these do not exist, certain complete, non-compact canonical metrics are expected to arise, such as those of Poincaré type. In this talk I will discuss a perturbation result for such metrics on blowups, analogous to the Arezzo-Pacard type theorems in the compact case. A key feature is an obstruction which has no analogue in the compact case, coming from additional cokernel elements for the linearisation of the scalar curvature operator. This additional condition is conjecturally related to ensuring the metrics remain of Poincaré type.

更新日：2019.05.15