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.
|January 2018||March 2018|
Events for 5 February 2018
'Hell, Heaven and Hope. A journey through life and the afterlife with Dante', Exhibition curated by Dr Annalisa Cipollone
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I will introduce a new preferential attachment model in which each vertex has an associated fitness value. I will discuss the behaviour of the model as the number of nodes tends to infinity, including the existence of a "condensation" phase in which a small number of especially fit vertices are able to (temporarily) gain disproportionately large degrees. The work relies on a new connection between preferential attachment with fitnesses, and branching-coalescing particle systems; it leads to a clear and simple explanation for why the condensation phenomenon occurs.
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IAS Fellow's Seminar - Loving Recognition: a proposal for the practical efficacy of love as a public virtue
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Often, when an algebraic object is drawn at random, it is isomorphic to a given object A with probability that is proportional to 1/#Aut(A). Cohen and Lenstra observed in the early 1980s that this principle explains heuristically numerous phenomena in the behaviour of ideal class groups of quadratic number fields that had puzzled number theorists for decades. In recent years, similar principles have been observed to govern the behaviour of many other objects in pure mathematics, from sandpile groups of graphs, over Selmer groups of elliptic curves, to cohomology groups of hyperbolic 3-manifolds. Indeed, the same principle appears to hold even in certain situations in which #Aut(A) may be infinite, in which case it requires some creativity to apply it rigorously. In addition to "real world" applicability, the probability distributions on the respective classes of algebraic objects that one obtains from the above rule also turn out to have some fascinating properties. In this talk, I will attempt to give an overview of the original ideas behind the Cohen-Lenstra heuristics and of the modern research that they have prompted.
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The first half of the talk will be an introduction to resurgence. Resurgence is a way of dealing with asymptotic series, which are ubiquitous in physics, appearing in fluid mechanics, condensed matter, the Standard Model, String Theory and everything in between. I hope to explain most of the basic concepts in a pedagogical manner. I will then discus the contents of arXiv:1711.04802, the first example of resurgence in a QFT. This is done by way of Chesire Cat Resurgence, which I hope to explain.
Contact Daniel Martin