Annals of Mathematics Studies: Weil's Conjecture for Function Fields : Volume I by Jacob Lurie and Dennis Gaitsgory (2019, Trade Paperback)
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This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting -adic sheaves.