幾何学コロキウム／応用特異点論ラボセミナー：Harmonic maps, pseudospherical surfaces and singularities (David Brander (Technical University of Denmark))

開催日時

2019年12月11日 16時 45分 ～ 2019年12月11日 18時 15分

場所

理学部４号館４－５０１教室

講演者

David Brander (Technical University of Denmark)

タイトル: Harmonic maps, pseudospherical surfaces and singularities

アブストラクト:
The Gauss map of a constant negative curvature surface in 3-space is harmonic with respect to the Lorentzian metric induced by the second fundamental form. Conversely, any Lorentzian harmonic map into the 2-sphere gives rise to a surface (with some singularities) of constant negative curvature.

I will talk about some recent work (joint with F. Tari) on the singularities of these maps, including how to construct the generic singularities and bifurcations using loop groups.

いつもと時間・場所が異なります．ご注意ください．