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 7 November 2017
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In quantum field theory, conserved particle numbers are associated with ordinary global symmetries. However, many theories can also possess a conserved density of extended objects such as strings, branes, etc. The generalized symmetry principle associated with such conservation laws is just as powerful as that for ordinary symmetries but has only recently been systematically explored. I will explain some of the resulting insights, discussing the classification of low-energy phases and discussing the emergence of gapless Goldstone modes when they are spontaneously broken. Such a symmetry also plays an important role in characterizing the long-distance physics of familiar Maxwell electrodynamics in four dimensions; as an application, I will discuss the realization of this symmetry at finite temperature and provide a reformulation of magnetohydrodynamics from the point of view of symmetry and effective field theory.
It is a standard heuristic that sums of oscillating number theoretic functions, like the Mobius function or Dirichlet characters, should exhibit squareroot cancellation as compared with trivial bounds. It is often very difficult to prove anything as strong as that, and we generally expect that if we could prove squareroot cancellation it would be the best possible bound. I will try to explain some recent results showing that, in fact, certain averages of multiplicative functions exhibit a bit more than squareroot cancellation.
Contact R.W.L.Moberly@durham.ac.uk for more information about this event.
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