Derived Fourier analysis

Abstract: I will discuss incarnations of the Fourier transform in algebraic geometry and topology. Like its prototype, these "sheafy" or categorified forms of Fourier analysis have proven unreasonably effective in applications. After giving an overview of the sheaf-theoretic Fourier transform, I will explain a new "derived" version and some concrete problems in enumerative geometry and number theory this abstract piece of machinery has proven useful for so far.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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