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.
|December 2017||February 2018|
Events for 16 January 2018
'Hell, Heaven and Hope. A journey through life and the afterlife with Dante', Exhibition curated by Dr Annalisa Cipollone
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One way of studying the complex representations of the special linear groups over the integers is to determine the convergence of its representation zeta function.
Recently Avni and Aizenbud have given a method that relates special values of the zeta function at even integers $2g - 2$ with the singularities of the representation variety of the fundamental group of a Riemann surface of genus $g$ into the special linear group. This way, Avni and Aizenbud determine that the degree of polynomial representation growth of the special linear group over the integers is smaller than $22$. In this talk I shall report on a recent result obtained in collaboration with N. Budur pushing down this bound to $2$.