Title: Atiyah sequence Abstract: Review of the theory of exact sequences to define a connection on a principal bundle. The construction of a gauge theory of gravity on a Lie algebroid is considered.

Title: Constructions of symplectic fillings  Abstract:  Bourgeois constructed a family of contact structures on $M \times T^2$ if $M$ is contact, using Giroux's open book decomposition. We will see that these are very sensitive to the page of the open book, but less so to the monodromy. We will also see that many of these

Title: Complete minors of self-complementary graphs. Abstract: A self-complementary graph on n vertices is a graph which is isomorphic to its graph complement within K_n,  the complete graph on n vertices.  These graphs have a high degree of structure, and yet they are far from trivial. This talk focuses on minors of self-complementary graphs. Minors

Title: Colored Tri-Plane Diagrams and the Slice-Ribbon Problem Abstract: We study dihedral branched covers of the four-dimensional sphere, where the branching set is a surface with one singularity modeled on the cone on a knot K.   We construct examples of these covers using colored tri-plane diagrams, which are triples of tangles that can be used

Title: The Top Ten Theorems in the Combinatorics of Posets