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 19 November 2019
Michael Magee: Diophantine properties of Markoff-Hurwitz varieties
Beginning with the simple question
'when is the sum of the squares of a tuple of integers equal to a multiple of their product?',
one arrives at a family of Diophantine equations called Markoff-Hurwitz equations.
I will give a `high-level' accessible talk about these Diophantine equations with two broad themes:
Firstly, the Markoff-Hurwitz equations are important as a `critical' case in Diophantine geometry, and as such, have strange Diophantine properties.
Secondly, the Markoff-Hurwitz equations are intimately connected with a family of fractals that includes the `Rauzy gasket': a fractal that pops up in seemingly disparate areas of mathematics including triply periodic surfaces, dynamics of maps on the circle, higher dimensional generalizations of continued fractions, Teichmuller theory, and now, in Diophantine geometry.
This is partly based on joint work with Alex Gamburd and Ryan Ronan.
Contact pankaj.vishe@durham.ac.uk, athanasios.bouganis@durham.ac.uk, herbert.gangl@durham.ac.uk for more information about this event.
Distinguished Visitor Seminar - Unravelling Mechanisms of Redox Reactions Facilitated by Iron-Bearing Clay Minerals
Contact enquiries.ias@durham.ac.uk for more information about this event.
Delaram Kahrobaei: NP-Complete Problems in Graph Groups and Cryptographic Applications
In this talk, we consider several classical and novel algorithmic problems for graph groups, which are also known as right-angled Artin groups or RAAGs. Many of these problems are closely related to graph theoretic problems, and their computational complexity is of intrinsic interest. Moreover, we are interested in these problems from the point of view of applications to cryptography. This is a joint work with R. Flores (Seville) and T. Koberda (Virginia).
Contact algorithms.complexity@dur.ac.uk for more information about this event.
IAS Fellow's Public Lecture - Farmer Suicides: The subject enmeshed in political and moral economies, emotions and ordinary ethics
Contact enquiries.ias@durham.ac.uk for more information about this event.
