UCalgary Peripatetic Seminar: Marcy Robertson

  • Date: 12/09/2021
  • Time: 15:00
Lecturer(s):
Marcy Robertson (University of Melbourne)
Location: 

Online

Topic: 

Automorphisms of Seemed Surfaces, Modular Operads and Galois Actions

Description: 

The idea behind Grothendieck-Teichmüller theory is to study the absolute Galois group via its actions on (the collection of all) moduli spaces of genus g curves. In practice, this is often done by studying an intermediate object: The Grothendieck-Teichmüler group, GT.

 

In this talk, I’ll describe an algebraic gadget built from simple decomposition data of Riemann surfaces. This gadget, called an infinity modular operad, provides a model for the collection of all moduli spaces of genus g curves with n boundaries, which we justify by showing that the automorphisms of this algebraic object is isomorphic to a subgroup of Grothendieck-Teichmüller group.

Other Information: 

Online event via Zoom at 3pm Pacific, 4pm Mountain time

 

Email sacha.ikonicoff at ucalgary.ca for link.

 

https://logic.ucalgary.ca/