Deforming a residual representation of the Morava stabilizer group

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• Vesna Stojanoska (University of Illinois at Urbana-Champaign)
• Tuesday 13 June 2023, 11:45-12:45
• Seminar Room 1, Newton Institute.

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HHHW06 - HHH follow on: Homotopy: fruit of the fertile furrow

The Morava stabilizer group and its action on the Lubin-Tate spectrum arise from the study of deformations of formal groups, and play a central role in chromatic homotopy theory. In this talk, we will explore a deformation problem of a different nature. Specifically, we will be deforming some natural residual representations of the Morava stabilizer group, analogous to the number-theoretic study of deformations of Galois representations due to Mazur and its derived version due to Galatius and Venkatesh. We will observe an interesting duality and ponder its meaning and implications. This is a report on work in progress joint with Robert Dicks.

This talk is part of the Isaac Newton Institute Seminar Series series.

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