HOLMBERG-PEROUX-DISSERTATION-2020.pdf (636.42 kB)

Highly Structured Coalgebras and Comodules

Download (636.42 kB)
thesis
posted on 01.08.2020, 00:00 by Maximilien Thomas Holmberg-Peroux
The thesis studies coalgebras and comodules in higher categories. Rigidification results compare homotopy coherent objects with their strict analogues and we prove that it is not possible to rigidify coalgebras in spectra. However, we also show that comodules in connective modules over the Eilenberg-Mac Lane spectrum over a field can be rigidified if the coalgebra is simply connected and strict. This allows to define the notion of derived cotensor product of comodules

History

Advisor

Shipley, Brooke

Chair

Shipley, Brooke

Department

Mathematics , Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Degree name

PhD, Doctor of Philosophy

Committee Member

Antieau, Benjamin Bousfield, Aldridge K. Takloo-Bighash, Ramin Merling, Mona

Submitted date

August 2020

Thesis type

application/pdf

Language

en

Usage metrics

Categories

Exports