Seminar
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| Location: | SLMath: Online/Virtual, Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
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Tannaka duality consists of a web of results which allow one to recover a geometric object from its (derived) category of sheaves together with its tensor structure. In this talk I will discuss recent progress in this topic, where Tannaka duality statements are deduced as a consequence of a noncommutative result in the theory of sheaves of categories. More precisely, I will explain how Tannaka duality is connected to the phenomenon known as 1-affineness: the observation that after categorification many schemes and stacks have particularly simple sheaf theoretic behavior.
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