November 20, 2014 
Gluing tetrahedra and 3manifold — Saima Anis 
We tried to construct in a natural way a 3dimensional manifold together with actions of the group PSL(2, F_{7}) on 4tuples with entries from PL(F_{7}), where F_{7 }is the finite field with 7 elements. 
December 4, 2014 
Critical points of distance functions — Wouter van Limbeek 
Let M be a Riemannian manifold. Then the distance to a fixed basepoint gives a nice function on M that encodes a lot of the geometry of M (e.g. near the basepoint the gradient trajectories are geodesic segments). Inspired by this fact, Grove and Shiohama developed the beginnings of a Morse theory of these functions (even though they are usually not differentiable!). The theory is still in an early state, but there are already nice applications to due to GroveShiohama, GrovePetersen and Gromov. I will discuss some of the theory and these applications.

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