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A very interes ting class of fusion categories is the one formed by modular categories. These categories arise in a variety of mathematical subjects including topo logical quantum field theory\, conformal field th eory\, representation theory of quantum groups\, von Neumann algebras\, and vertex operator algebra s. In addition to the mathematical interest\, a m otivation for pursuing a classification of modula r categories comes from their application in cond ensed matter physics and quantum computing.

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Gauging is a well-known theoreti cal tool to promote a global symmetry to a local gauge symmetry. In this talk\, we will present a m athematical formulation of gauging in terms of hi gher category formalism. Roughly\, given a unitar y modular category (UMC) with a symmetry group G\, gauging is a 2-step process: first extend the UM C to a G-crossed braided fusion category and then take the equivariantization of the resulting cat egory. This is an useful tool to construct new mo dular categories from given ones. We will show th rough concrete examples which are the ingredients involved in this process. In addition\, if time a llows\, we will mention some classification resul ts and conjectures associated to the notion of ga uging. \; LOCATION:Seminar Room 1\, Newton Institute CONTACT:INI IT END:VEVENT END:VCALENDAR