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Autoequivalences of tensor categories and Bogomolov multiplier
Miércoles 01 Diciembre 2021, 03:00pm
Accesos : 33
Contacto Carlos Segovia

Seminario de Categorías

Alexei Davydov, College of Arts and Sciences Ohio University

Resumen:The Bogomolov multiplier of a group is the subgroup of its Schur multiplier, of classes with vanishing restrictions to all abelian subgroups. Bogomolov multiplier plays an important role in birational algebraic geometry (Noether problem) and in topology (groups of singular submanifolds).

In the talk explain how Bogomolov multiplier appears in the study of soft symmetries of modular tensor categories. Here soft means that a symmetry does not move objects. More precisely, I will interpret Bogomolov multiplier as a normal subgroup of the group of soft autoequivalences of the Drinfeld double.

https://sites.google.com/im.unam.mx/seminario-de-categorias-unam/inicio

Youtube: https://www.youtube.com/watch?v=Z6bARbPgrFw

 

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