Talk #1 (1:00pm-2:30pm)
Michael Albanese, Department of Pure Mathematics, University of Waterloo
"Hyperbolic Manifolds and Complex Structures"
Closed surfaces of genus at least two admit a hyperbolic metric and a compatible complex structure. Following a paper of Gauduchon, we will see this is never the case in higher dimensions: a closed hyperbolic manifold of dimension 2m > 2 does not admit a compatible complex structure. The proof uses a quantity involving scalar curvature and Weyl curvature which is similar to the Yamabe constant of a conformal class.
Talk #2 (2:30pm-4:00pm)
Shengda Hu, Wilfrid Laurier University
"Volume for a generalized metric"
We will discuss an attempt in defining volume for a generalized metric.
MC 5403