Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
Geometry and Topology Seminar: Realization of GKM fiber bundles
GKM manifolds are smooth manifolds endowed with an action of
a torus generalizing in some sense toric manifolds. It is possible to
assign to every GKM manifold a combinatorial datum, the so called GKM
graph, which consists of an abstract graph with labeled edges.
On the other side it is possible to define abstract GKM graphs and the
realization problem asks if there exists a GKM manifold such that the
GKM graph is the given one. We will examine this question in dimension
6 and for GKM graphs which are, in some sense, fiber bundles over other
GKM graphs. Moreover we will exhibit some geometric properties about
those GKM manifolds, in particular we will show that they are infinitely
many KÃ¤hler manifolds such that the underlying symplectic form is
invariant under a torus action in contrast to the KÃ¤hler metric.
A Zoom invitation will be sent on Wednesday before the seminar.