Frontiers in Geometry and Topology Summer School

Geometry and Topology have seen spectacular recent developments, including the solution of classical problems. As a consequence, the established picture of how various parts of these areas fit together is evolving rapidly. On the topological side, among the topics that have progressed are: four-manifolds obtained as knot traces; knot concordance and homology cobordism, Stein fillings. On the Floer homology side, we have powerful new computational methods and new invariants of embedded graphs and webs. On the more analytic side, we have new compactness results and potential new invariants.

Topics: Interplay of 3-dimensional and 4-dimensional Topology, Floer homology theories and associated invariants, Khovanov homology, Geometric and analytic aspects of gauge theoretic equations