Johns Hopkins Math Colloquium

Abstract: The past few years have seen numerous advances in the study of the p-adic cohomology of p-adic formal schemes, with applications in algebraic geometry, K-theory, and commutative algebra. More recently, starting with the work of Bhatt-Lurie and Drinfeld, the language of algebraic stacks has played an increasing role in the subject, and led to new cohomologies as well as new insights about old cohomologies. I will give a gentle introduction to this circle of ideas.

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