7th Seminar on Conformal Field Theory
February 3rd, 2017
Technische Universität Darmstadt

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Abstracts of the talks
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Gerald Höhn: On the Genus of the Moonshine Module
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I will give a novel and simple description of Schellekens' seventy-one
affine Kac-Moody structures of self-dual vertex operator algebras of
central charge 24 by using the Niemeier lattices with roots. I will also
discuss a possible uniform construction procedure of the self-dual
vertex operator algebras of central charge 24 starting from the Leech
lattice.



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Wolfgang Soergel: Special Bimodules and Motives
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I will try to explain the context of these special bimodules and how
they categorify the Hecke algebra and how motives allow a geometric
understanding of the homotopy category of special bimodules.



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Tomoyuki Arakawa: Moore-Tachikawa conjecture and chiral algebras of
                  class S
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Motivated by the string theory, Moore and Tachikawa conjectured in 2011
the existence of two-dimensional topological quantum field theories
whose values are holomorphic symplectic varieties. In type A, the
symplectic varieties in question are expected to be isomorphic to the
Coulomb branches of some quiver gauge theories whose construction were
recently proposed by Braverman, Finkelberg and Nakajima. Independently,
motivated by the same physical background, Beem, Lemos, Liendo,
Peelaers, Rastelli and van Rees conjectured the existence of
two-dimensional topological quantum field theories whose values are
vertex algebras. In my talk I will explain how the conjecture on vertex
algebras would imply the conjecture on symplectic varieties.