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Junior Geometry
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Yuri Sulyma, RLM 11.176: q-analogues and the slice filtration
Wednesday, January 15, 2020, 04:00pm - 05:00pm
The q-analog of n is the formal expression 1 + q + ... + q^{n-1}, recovering n when we set q=1. This elementary construction appears in many different parts of mathematics, most notably combinatorics, algebraic geometry over finite fields, and the study of special functions. A recent innovation is the successful construction of a coordinate-independent q-deformation of de Rham cohomology. In the first (elementary) part of my talk, I will introduce q-analogues and examine many different instances where these occur. In the second (not elementary) half of my talk, I will explain how these ideas lead to an elegant identification of the regular slice filtration on topological Hochschild homology of perfectoid rings.
Location: RLM 11.176

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