University of Cambridge > > Differential Geometry and Topology Seminar > On symplectic stabilisations and mapping classes

On symplectic stabilisations and mapping classes

Add to your list(s) Download to your calendar using vCal

  • UserAilsa Keating, Cambridge
  • ClockWednesday 14 February 2018, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

In real dimension two, the symplectic mapping class group of a surface agrees with its `classical’ mapping class group, whose properties are well-understood. To what extend do these generalise to higher-dimensions? We consider specific pairs of symplectic manifolds (S, M), where S is a surface, together with collections of Lagrangian spheres in S and in M, say v_1, ...,v_k and V_1, ...,V_k, that have analogous intersection patterns, in a sense that we will make precise. Our main theorem is that any relation between the Dehn twists in the V_i must also hold between Dehn twists in the v_i. Time allowing, we will give some corollaries, such as embeddings of certain interesting groups into auto-equivalence groups of Fukaya categories.

This talk is part of the Differential Geometry and Topology Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity