A brief (pre)history of perfectoid spaces

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• Kiran Kedlaya (University of California, San Diego)
• Tuesday 11 November 2014, 13:30-14:30
• CMS, MR3.

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Classical Hodge theory can be interpreted as the relationship between the topology of manifolds and the cohomology of differential forms. In arithmetic geometry, the parallel subject of p-adic Hodge theory relates Galois actions on etale cohomology to differential forms. Recently, this subject has been overturned by a series of developments culminating in the construction of a class of objects called “perfectoid spaces”. Without trying to give too many formal definitions, I will indicate some of the key ideas that go into the theory; as time permits, I’ll also mention some of the directions in which the work of Scholze carries this theory far beyond its point of origin.

This talk is part of the Special DPMMS Colloquium series.

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