The next talk in the Special Functions and Number Theory is as below. The speaker, Debashis Ghoshal, is one of the most regular attendees and long term supporters of this Seminar. We have long asked him to show how special functions arise in his work and to perhaps tell us about some problems.
Talk announcement
Speaker: Debashis Ghoshal (School of Physical Sciences, JNU)
Title: Two-dimensional gauge theories, intersection numbers and special functions
Where: Please write to sfandnt@gmail.com to get the link to the talk. It is best to write a day in advance. (The link will be open at 3:30 PM for the organizers to test their systems)
Tea or Coffee: Please bring your own.
Abstract: The partition function of two dimensional Yang-Mills theory contains a wealth of information about the moduli space of connections on surfaces. We study this problem on a special class of surfaces of infinite genus, which are constructed recursively. While the results are suggestive of an underlying geometrical structure, we use it as a prop to efficiently compute results for finite genus surfaces. Riemann zeta function, confluent hypergeometric function and its truncations show up in explicit computations for the gauge group SU(2). Much of the corresponding results are open for other groups.
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