Speaker: Hanci Chi (Xi’an Jiatong – Liverpool University, China)
Location: Hamilton Hall, Room 207
Title: Infinitely Many Non-collapsed Steady Ricci Solitons on Complex Line Bundles
Abstract: We construct a continuous 2-parameter family of steady Ricci solitons on complex line bundles over complex projective space of real dimension 4m+2. An integer k classifies these complex line bundles, and the base space is not necessarily Kähler—Einstein. We show that if k lies between 3 and 2m+1, there exists at least one asymptotically conical (AC) Ricci-flat metric in this family. Furthermore, for each k larger than or equal to 3, the family includes infinitely many asymptotically paraboloidal (AP) steady Ricci solitons.
