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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.


August 2017
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Events for 30 August 2017

Lecture by Judge Howard Morrison

Judge Howard Morrison

Tony Samuel: Regularity of aperiodic minimal subshifts

4:00pm, CM221

The theory of aperiodic order is a relatively young field of mathematics, which has attracted considerable attention in recent years. It has grown rapidly over the past three decades; on the one hand, due to the discovery of quasicrystals; and on the other hand, due to intrinsic mathematical interest in describing the very border between crystallinity and aperiodicity. While there is currently no axiomatic framework for aperiodic order, various types of order conditions have been and are still being studied.

At the turn of the century Durand and Lagarias & Pleasants established key order conditions to be studied. In this talk, we will discuss these order conditions, as well as generalisations and extensions thereof, for two classes of aperiodic dynamical systems: Sturmian subshifts and a new family of subshifts stemming from Grigorchuk's infinite 2-group. We will also show that (exact) Jarník sets naturally give rise to a classification of Sturmian subshifts in terms of such order conditions.

Contact for more information about this event.