Lecture Notes on Modular Infinity Operads and Grothendieck-Teichmueller Theory
Olivia Borghi, Marcy Robertson
TL;DR
This paper introduces modular infinity operads and explores their application to Grothendieck-Teichmueller theory, providing foundational insights through a series of lectures aimed at motivating the concepts.
Contribution
It offers an accessible introduction to modular infinity operads and their relevance to Grothendieck-Teichmueller theory, connecting higher structures with operadic calculus.
Findings
Clarifies the concept of modular infinity operads
Links operadic structures to Grothendieck-Teichmueller theory
Provides foundational material for further research
Abstract
These notes represent the transcript of three, 90 minute lectures given by the second author at the CRM in Barcelona in 2021 as part of the "Higher Structures and Operadic Calculus" workshop. The goal of the series was to introduce and motivate modular infinity operads via their application to what is often called "Grothendieck-Teichmueller" theory.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematical and Theoretical Analysis · Homotopy and Cohomology in Algebraic Topology