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T-structures from categorical actions

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T-structures from categorical actions
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19
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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T-structures on derived categories of coherents heaves are an important tool to encode both representation-theoretic and geometric information. Unfortunately there are only a limited amount of tools available for the constructions of sucht-structures. We show how certain geometric/categorical quantum affine algebra actions naturally in duce t-structures on the categories under lying the action. In particular were cover the categories of exotics heaves of Bezrukavnikov and Mirkovi ́c. This is joint work with Sabin Cautis.