Fiber bundles with fiber a surface arise in many areas including
hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to
isomorphism, a surface bundle is completely determined by its monodromy
representation, which is a homomorphism to a mapping class group. This allows
one to use algebra to study the topology of surface bundles. Unfortunately,
the monodromy representation is typically difficult to “compute†(e.g.
determine its image). In this talk, I will discuss some recent work toward
computing monodromy groups for holomorphic surface bundles, including certain
examples of Atiyah and Kodaira. This can be applied to the problem of counting
the number of ways that certain 4-manifolds fiber over a surface. This is
joint work with Nick Salter. Speaker(s): Bena Tshishiku (Harvard)
hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to
isomorphism, a surface bundle is completely determined by its monodromy
representation, which is a homomorphism to a mapping class group. This allows
one to use algebra to study the topology of surface bundles. Unfortunately,
the monodromy representation is typically difficult to “compute†(e.g.
determine its image). In this talk, I will discuss some recent work toward
computing monodromy groups for holomorphic surface bundles, including certain
examples of Atiyah and Kodaira. This can be applied to the problem of counting
the number of ways that certain 4-manifolds fiber over a surface. This is
joint work with Nick Salter. Speaker(s): Bena Tshishiku (Harvard)
Building: | East Hall |
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Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Topology Seminar - Department of Mathematics |