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Stability Course Notes K-Theory Picard group algebraic group cobordism hypothesis cotangent complex deformation theory dualizable objects in a category factorization algebra factorization homology groupoid homotopy category homotopy type mapping cone modular form motivic homotopy p-adic Hodge theory prismatic cohomology ring spectra scheme stable homotopy triangulated categories formal spectrum algebraic curve class field theory Hasse-Weil L function Quantum Homology Theories tropical geometry arithmetic geometry E_n ring spectrum Geometrization higher category Prismatic Cohomology Notes Manifolds Definitions Mock AMS 2020 Pictures THH Notes - The cotangent complex and derived de Rham cohomology Whiteney embedding theorem Why study K theory basic tools in homotopy of spaces classical category theory uniformization Introduction to infinity categories When are spheres Lie groups AKLB setup Algebraic Variety Arpon Raksit - Hochschild homology and the derived de Rham complex revisited 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