SMS scnews item created by Alex Casella at Mon 6 Mar 2017 0958
Type: Seminar
Distribution: World
Expiry: 5 Jun 2017
Calendar1: 6 Mar 2017 1700-1800
CalLoc1: Carslaw 535A
CalTitle1: MaPSS: Mathematical Postgraduate Seminar Series
Auth: casella@10.17.25.133 (acas5565) in SMS-WASM

# MaPSS: Mathematical Postgraduate Seminar Series: Dominic Tate (Sydney University) -- Introduction to (G, X)-Structures

Dear All,

We are delighted to present the MaPSS Seminar topic of Monday 06/03; please see the
abstract below.

**This Semester the Seminar will always run on Monday, at 5:00pm in 535A**

Following the talk, there will be pizza on offer.

Speaker: Dominic Tate (Sydney University)

Title: Introduction to (G, X)-Structures

Abstract: In 1872 Felix Klein outlined the Erlangen Program with the aim of studying the
intrinsic geometry of surfaces using group theory and projective geometry.  This idea is
formalised in the notion of (G, X)-structures wherein the geometric features of a given
surface are locally modelled on that of a smooth manifold X and preserved by the action
of a group G on X.  I plan to give an introduction to the language and fundamental
features of (G, X)-structures, including the Developing Map and Holonomy
Representation.  This will provide the framework for a discussion of the Teichmuller
space and its parameterisation through Fenchel-Nielsen coordinates.