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University of Cambridge > Talks.cam > Algebraic Geometry Seminar > A Ringel-Hall type construction of vertex algebras

## A Ringel-Hall type construction of vertex algebrasAdd to your list(s) Download to your calendar using vCal - Dominic Joyce, Oxford
- Wednesday 07 November 2018, 14:15-15:15
- CMS MR13.
If you have a question about this talk, please contact Mark Gross. Vertex algebras” are complicated algebraic structures coming from Physics,
which also play an important role in Mathematics in areas such as monstrous
moonshine and geometric Langlands.
I will explain a new geometric construction of vertex algebras, which seems to
be unknown. The construction applies in many situations in algebraic geometry,
differential geometry, and representation theory, and produces vast numbers of
new examples. It is also easy to generalize the construction in several ways to
produce different types of vertex algebra, quantum vertex algebras,
representations of vertex algebras, … It seems to be related to work by
Grojnowski, Nakajima and others, which produces representations of interesting
infinite-dimensional Lie algebras on the homology of moduli schemes such as
Hilbert schemes.
Suppose A is a nice abelian category (such as coherent sheaves coh(X) on a
smooth complex projective variety X, or representations mod-CQ of a quiver Q)
or T is a nice triangulated category (such as D This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
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