The 2-linearity of the free group and the topology of the punctured disc
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HTL - Homology theories in low dimensional topology
The goal of this talk will be to describe a rather basic linear action of the free group on a finitely-generated triangulated category, and describe two proofs of the faithfulness of this action. I will also describe some of the geometric group theory and topology that is visible from the lens of this faithful 2-representation.
This talk is part of the Isaac Newton Institute Seminar Series series.
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