Title: | Surface bundles and Lefschetz fibrations |
Speaker: | Thomas Handscomb |
Abstract: | Surface bundles and Lefschetz fibrations appear in many diverse branches of mathematics. The rich structure of these objects illuminates powerful interactions between areas of complex analysis, algebraic geometry and symplectic topology. The colloquium will provide an easy going and pleasant introduction to surface bundles and will describe an accessible overview of their natural relationship with the moduli space. We will emphasize intuition rather than definition and will illustrate concepts with simple pictures. Indeed we will see how the edgewise gluing of triangles, and a little imagination, can uncover deep connections between the Fibonacci numbers and the existence of certain 4-manifolds. |