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(∞,2)-categories: Enriched ∞-categories February 25, 2020 (10:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Rune Haugseng (Norwegian University of Science and Technology (NTNU))
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In the first part of the talk I will begin by introducing several ∞-categorical algebraic structures arising from the simplex category, and then use these to give a definition of enriched ∞-categories. I will also discuss some basic results about these objects, and perhaps mention some alternative definitions. In the second part I will talk about bimodules between enriched ∞-categories and Hinich's work on the Yoneda lemma. I will end by briefly talking about framed double ∞-categories (AKA proarrow equipments), which should give a good setting for doing some more category theory with enriched ∞-categories (such as enriched (co)limits and Kan extensions).

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