HOLMBERG-PEROUX-DISSERTATION-2020.pdf (636.42 kB)
Highly Structured Coalgebras and Comodules
thesis
posted on 2020-08-01, 00:00 authored by Maximilien Thomas Holmberg-PerouxThe 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, BrookeChair
Shipley, BrookeDepartment
Mathematics , Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Degree name
PhD, Doctor of PhilosophyCommittee Member
Antieau, Benjamin Bousfield, Aldridge K. Takloo-Bighash, Ramin Merling, MonaSubmitted date
August 2020Thesis type
application/pdfLanguage
- en