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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 14 December 2018

Boris Pioline: BPS black holes, wall-crossing and mock modular forms

1:00pm, CM101

In type II strings compactified on a Calabi-Yau threefold, BPS
black hole microstates are counted by generalized Donaldson-Thomas
invariants. The latter exhibit well-understood but complicated wall-crossing phenomena.
Using constraints from string dualities, I will argue that the generating function
of DT invariants supported on a divisor must be in general be a mock modular
form of higher depth, depending on the degree of reducibility of the divisor.
This generating function is closely related to the elliptic genus of the
Maldacena-Strominger-Witten superconformal field theory on a wrapped M5-brane.

Based on joint work with S. Alexandrov: arXiv:1804.06928, 1808.08479

Contact christiana.pantelidou@durham.ac.uk, mathew.r.bullimore@durham.ac.uk for more information about this event.


Ivan Ovsyannikov: Birth of discrete Lorenz attractors in global bifurcations

3:00pm, CM301

Discrete Lorenz attractors are chaotic attractors, which are the discrete-time analogues of the well-known Lorenz attractors in differential equations. They are true strange attractors, i.e. they do not contain simpler regular attractors such as stable periodic orbits. In addition, this property is preserved also under small perturbations. Thus, the Lorenz attractors, discrete and continuous, represent the so-called robust chaos.
In the talk I will present a list of global (homoclinic and heteroclinic) bifurcations, in which it was possible to prove the appearance of discrete Lorenz attractors in the Poincare map. In some cases in was also possible to prove the coexistence of infinitely many attractors.

Contact christopher.prior@durham.ac.uk for more information about this event.