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.
|October 2017||December 2017|
Events for 14 November 2017
This talk is devoted to the problem of characterizing the family of factorial classes of graphs, i.e., hereditary classes in which the number of n-vertex graphs grows as a factorial type function. First, we will discuss the background and motivation of the problem. Then we will consider a special case of characterizing the family of factorial classes of bipartite graphs. We will present a result showing that the class of P7-free bipartite graphs is factorial. The result completes the description of monogenic factorial classes of bipartite graphs. The proof is based on a decomposition scheme of bipartite graphs, which is of independent interest. Finally, we will discuss some open problems.
Based on joint work with Vadim Lozin.
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Elliptic curves E and E' are said to be n-congruent if their
n-torsion subgroups are isomorphic as Galois modules. The elliptic curves
n-congruent to a given elliptic curve are parametrised by (the
non-cuspidal points of) certain twists of the modular curve X(n). I will
discuss methods for computing equations for these curves, and also for the
surfaces that parametrise pairs of n-congruent elliptic curves.
Contact firstname.lastname@example.org for more information about this event.
Contact email@example.com for more information about this event.
Contact firstname.lastname@example.org for more information about this event.