比利时vs摩洛哥足彩
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university of california san diego
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math 295 - mathematics colloquium
bena tshishiku
harvard university
surface bundles, monodromy, and arithmetic groups
abstract:
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.
host: james mckernan
january 14, 2019
3:00 pm
ap&m 6402
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