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Research

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.


 

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Events for 2 November 2017

Elizabeth Biggs: Reading a Reformation: Bishop Tunstall's household and its books at Durham, 1530 to 1558

11:00am, Seminar Room C (D/TH107), Dept. of Theology & Religion, Abbey House, DH1 3RS, Durham

Contact susan.royal@durham.ac.uk, alec.ryrie@durham.ac.uk, michael.snape@durham.ac.uk, s.j.c.taylor@durham.ac.uk for more information about this event.


Sebastian Andres: Berry-Esseen Theorem for the Random Conductance Model

12:00pm, CM301

The random conductance model is a well-established model for a random walk in random environment. In recent years the question whether a quenched invariance principle (or quenched functional central limit theorem) holds for such a random walk has been intensively studied, and an invariance principle has meanwhile been established also in the case of general ergodic, degenerate environments satisfying a certain moment condition. In this talk we will present annealed and quenched Berry-Essen theorems, i.e. quantitative central limit theorems, in the case of ergodic degenerate conductances satisfying a strong moment condition and a certain spectral gap estimate. A key ingredient in the proof is an estimate on the variance decay of the semigroup associated with the so-called environment as seen from the particle.
This talk is based on joint work with Stefan Neukamm (TU Dresden).

Contact sunil.chhita@durham.ac.uk for more information about this event.


Jamie Walton: Moduli spaces of patterns and their cohomology.

1:00pm, CM221.

Periodic patterns of Euclidean space are decorations by motifs, such as point patterns or tiles, which have full-rank global translational symmetry. This means that they can be described from just a fundamental domain and their symmetry group. An aperiodically ordered pattern is one which can frequently repeat itself on finite patches but without being globally periodic. These are far more complicated to analyse and a variety of abstract tools has been developed to understand them. In this talk I shall explain how one studies them topologically, via associated moduli spaces of locally indistinguishable patterns. Topological invariants are applied, such as K-theory or Cech cohomology. I shall briefly outline how one goes about computing these invariants and how one may visualise what they say about the original pattern. At present most attention is dedicated to studying these patterns translationally. Bringing in rotations introduces some interesting challenges; a 3-dimensional periodic pattern, for example, has associated translational moduli space simply the 3-torus, but the rotational version is a 6-manifold whose topology depends crucially on the rotational symmetries of the pattern. I shall explain some recent progress with John Hunton in computing topological invariants for these spaces.

Contact mark.a.powell@durham.ac.uk, andrew.lobb@durham.ac.uk, wilhelm.klingenberg@durham.ac.uk for more information about this event.


Catherine Pepinster: The Keys and The Kingdom: The British and the Papacy from John Paul II to Francis

5:30pm, Abbey House, Department of Theology and Religion, Palace Green, Durham

Contact ccs.admin@durham.ac.uk for more information about this event.