Adam Thompson (Münster) will talk in the geometry seminar at 2pm on 4th May, in the Salle des Profs (9th floor of building NO). Adam’s title is “New examples of Ricci solitons with non-compact symmetry” and his abstract is below.
There are many examples of Ricci solitons that are constructed using the following Ansatz: the soliton admits a cohomogeneity one group action by a compact Lie group. On the other hand, there are very few examples of cohomogeneity one Ricci solitons where the group acting is non-compact; most known inhomogeneous examples have either abelian symmetry or special holonomy. We will discuss our construction of new examples of complete cohomogeneity one gradient Ricci solitons where the group action is by a non-compact solvable Lie group, many of which do not have special holonomy.