Duality for infinity-operads

Speaker:

Ieke Moerdijk

Affiliation:

Universiteit Utrecht

Date:

Tue, 18/10/2022 - 11:00 - 12:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Algebraic Topology, in memory of Hans-Joachim Baues", October 17 - 21, 2022 [3]

We describe a bar-cobar duality between presheaves and copresheaves on a category of trees, and show that it restricts to such a duality for infinity-operads and infinity-cooperads. For ordinary operads, it specializes to the classical cases studied by Getzler-Jones and Ginzburg-Kapranov. (The lecture is based on joint work with Eric Hoffbeck.)