Lecture Series: Cooper -- Deformations of Properly Convex Real Projective Structures

Fridays in Carslaw 830

Daryl Cooper (UC Santa Barbara) is visiting the University of Sydney this semester as 
part of the SMRI International Visitor Program. He has agreed to give a lecture course 
of five 2-hour blocks on projective structures on manifolds, starting with an 
introductory survey and concluding with recent research. After the first lecture on 
Friday 13 September, 11am-1pm, we will go to lunch with the speaker; please let me know 
if you would like to join us. (There is no Algebra Seminar on that day.)

Anthony

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Title: Deformations of Properly Convex Real Projective Structures.


Plan: 
First 3 introductory lectures will be an introduction and survey.
The tools include Lie groups, group theory, geometry, a bit of topology
and a Hessian metric.

The last two lectures will cover a new proof of the fact that the space of properly 
convex real projective structures on a closed n-manifold M, embeds, by taking holonomy,
into the quotient of the representation variety by conjugation
Hom(pi_1M,PGL(n+1,R))/conjugacy.
If there is time we might discuss ongoing work with Stephan Tillmann of an extension 
to the non-compact case.


Fridays in Carslaw 830
13/09 1100-1300
20/09 1000-1200
27/09 1000-1200
18/10 1000-1200
25/10 1000-1200