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Durham University

Research & business

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

Presented by Panagiotis Konstantis, University of Cologne
28 May 2020 13:05 in The talk will be broadcast via Zoom.

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 Kähler manifolds such that the underlying symplectic form is
invariant under a torus action in contrast to the Kähler metric.

A Zoom invitation will be sent on Wednesday before the seminar.

Contact fernando.galaz-garcia@durham.ac.uk or wilhelm.klingenberg@durham.ac.uk for more information