报告题目: Construction of ancient solutions of the Ricci flow on torus bundles
报告人：吕鹏 教授，University of Oregon
摘要: Ancient solutions of Ricci flow arise naturally when finite time singular solutions of the flow are blown up. We generalize the circle bundle examples of ancient solutions discovered by Bakas, Kong, and Ni to a class of principal torus bundles over an arbitrary finite product of Fano Kahler-Einstein manifolds studied by Wang and Ziller in the context of Einstein geometry. As a result, continuous families of kappa-collapsed and kappa-noncollapsed ancient solutions of type I are obtained on circle bundles for all odd dimensions greater or equal 7.