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Explore the connections between topological cyclic homology and the Fargues-Fontaine curve in this 40-minute lecture by Lars Hesselholt from Nagoya University and the University of Copenhagen. Delivered as part of the "Cyclic Cohomology at 40: achievements and future prospects" conference at the Fields Institute, delve into advanced mathematical concepts that bridge algebraic topology and arithmetic geometry. Gain insights into the latest developments in this field and understand how these two seemingly distinct areas of mathematics intersect and inform each other.
