Continuum envelopes on Fargues-Fontaine curve and elliptic curves

Abstract: Abstract: In this talk, I will discuss some of the applications of Bridgeland stability conditions, which was originated from string theory, on Fargues-Fontaine curve. This leads us to the notion of continuum envelope on the curve and SL(2,Z) variants of Colmez-Fontaine‘s division algebra. Fargues-Fontaine curve presents strong similarity to elliptic curves and noncommutative tori in this perspective.

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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