Title : Contact geometry in low dimensions Abstract: This series of talks will be about explaining some fundamental open problems in three-dimensional contact geometry. This third talk will be on

Title: Lie Groupoid Abstract: Motivation and introduction to the general theory of groupoid, Lie groupoid and Lie algebroid. Few examples are given, in particular the gauge groupoid.  

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

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

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

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

Title: The Top Ten Theorems in the Combinatorics of Posets