Noncommutative global Kosul duality and homotopy theory

Lead Research Organisation: Lancaster University
Department Name: Mathematics and Statistics

Abstract

Global Koszul duality and applications.

Differential graded Koszul duality is a far-reaching phenomenon linking the behaviour of algebras and conilpotent coalgebras, seemingly very different objects. It has been much studied in connection with rational homotopy theory and deformation theory. Recently it has been observed that a more general form of Koszul duality than previously observed, can be constructed; it involves general, as opposed to conilpotent, coalgebras. This project will explore topological ramifications of this global Koszul duality.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/T518037/1 30/09/2020 29/09/2025
2601010 Studentship EP/T518037/1 30/09/2021 29/09/2025 Callum Galvin