Andrew Neitzke - Skeins, line defects and supersymmetric quantum field theory - IPAM at UCLA
Recorded 29 October 2026. Andrew Neitzke of Yale University presents "Skeins, line defects and supersymmetric quantum field theory" at IPAM's Contact Geometry, Cluster Algebras and Skein Theory Workshop.Abstract: Skein algebras and skein modules, associated to a 2-manifold or 3-manifold M, have a "dual" meaning in terms of supersymmetric quantum field theory in dimension (6 - dim M). This point of view leads to reinterpretations of various known constructions, e.g. the cluster structure on character varieties, the quantum trace of Bonahon-Wong and its 3-manifold extension due to Panitch-Park / Garoufalidis-Yu, the large center at roots of unity, the WKB analysis of ordinary differential equations. It also suggests new constructions, such as a new approach to conformal blocks for the W_N vertex algebras. I will survey this story, trying to focus on the big picture.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-contact-geometry-cluster-algebras-and-skein-theory/ Receive SMS online on sms24.me
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