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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Feynman graphs, Periods and Polylogarithms: Vertex operator algebras and zeta values

Presented by Benjamin Doyon, Durham

14 November 2007 14:15 in CM105

A natural way of interpreting the sum of all natural numbers is to set it
equal to zeta(-1)=-1/12. Zeta values at negative integers also occur when
one "simplifies" the central term of the bracket relations of the central
extension of certain Lie algebras of formal differential operators, thus
providing nice modular properties to their graded character. Oddly enough,
these two occurrences of zeta values are connected. I will explain how this
happens, using the Heisenberg Lie algebra and the general theory of vertex
operator algebras, to which I will try to give a good introduction.

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