Geometry and Topology Seminar
Friday, February 7, 2020
3:00pm to 5:00pmAdd to Cal
Linde Hall 187
Surface bundles, monodromy, and arithmetic groups
Bena Tshishiku, Department of Mathematics, Brown University,
In the 1960s Atiyah and Kodaira constructed surface bundles over surfaces with many interesting properties. The topology of such a bundle is completely encoded by its monodromy representation (a homomorphism to a mapping class group), and it is a basic problem to understand precisely how the topology of the bundle is reflected in algebraic properties of the monodromy. The main result of this talk is that the Atiyah-Kodaira bundles have arithmetic monodromy groups. A corollary of this result is that Atiyah-Kodaira bundles fiber in exactly two ways. This is joint work with Nick Salter.
For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].
Event SeriesGeometry and Topology Seminar Series