Monodromy, flops and deformations

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• Michael Wemyss, Glasgow
• Wednesday 08 November 2017, 16:00-17:00
• MR13.

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

The aim of the talk is to explain how the topology of (simplicial) hyperplane arrangements, through the work of Deligne, enshrines various derived categories in algebraic geometry with an action of the associated fundamental group. This group action encodes, roughly, the “birational geometry” piece of the derived category. The equivalences corresponding to monodromy in this action arise from objects which are not strictly spherical, but are after (noncommutative) deformation. Towards the end of the talk I will explain a technique that shows that the action is faithful. Parts are joint with Will Donovan, and parts with Yuki Hirano.

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

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