Combinatorial bialgebras and decomposition spaces

Abstract: Decomposition spaces (introduced independently by Dyckerhoff and Kapranov under the name 2-Segal spaces) are simplicial spaces with a certain exactness property that models coassociativity in the same way that usual Segal spaces capture associative composition. I will talk about joint work with Joachim Kock and Andrew Tonks on the application of decomposition spaces in "categorified" or "objective" algebra. As motivating examples, I will discuss decomposition spaces for many classical combinatorial Hopf algebras, such as those of symmetric functions.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Comments: Meeting Link uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz09

Meeting ID: 918 7552 8987 Password: LAGOON2022

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.

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