Record: NoLevel: GraduateLanguage: EnglishPrerequisiteAlgebraic geometry (background in algebraic number theory will be helpful)AbstractPrismatic cohomology, which is developed in a recent work of Bhatt-Scholze, is a cohomology theory for schemes over p-adic rings. It is considered to be an overarching cohomology theory in p-adic geometry, unifying etale, de Rham, and crystalline cohomology. Du...
Record: YesLevel: UndergraduateLanguage: ChinesePrerequisitehomological algebraAbstractThis lecture explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, and connections to the Hochschild-Kostant-Rosenberg decomposition. Useful homological algebra background is provided as well.Reference1. H...
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