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Disquisitions on Monoidal Categories and Operads
Disquisitions on Monoidal Categories and Operads
$\infty$-modular operads and the higher genus Grothendieck–Teichmüller group
$\infty$-modular operads and the higher genus Grothendieck–Teichmüller group
Organizers
Speaker
Marcy Robertson
Time
Monday, June 22, 2026 4:00 PM - 5:00 PM
Venue
A3-1-301
Online
Zoom 559 700 6085
(BIMSA)
Abstract
Modular operads provide a natural language for encoding the gluing operations that relate moduli spaces of curves of different genera and numbers of marked points. In this talk, I will introduce some basic ideas from the theory of $\infty$-modular operads and explain how they can be used to model the higher genus Teichmüller tower.
I will then discuss how this perspective leads to a homotopical approach to the higher genus Grothendieck–Teichmüller group. The aim is to explain how automorphisms of suitable profinite or completed $\infty$-modular operads recover, and potentially extend, the familiar genus zero Grothendieck–Teichmüller symmetries.
I will then discuss how this perspective leads to a homotopical approach to the higher genus Grothendieck–Teichmüller group. The aim is to explain how automorphisms of suitable profinite or completed $\infty$-modular operads recover, and potentially extend, the familiar genus zero Grothendieck–Teichmüller symmetries.