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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.
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