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: GraduateLanguage: EnglishPrerequisiteLinear algebra, basics of Riemmanian geometryAbstractThe classification of Riemannian manifolds with special holonomy contains two “exceptional” cases: G2 and Spin(7). Manifolds with holonomy contained in G2 or Spin(7) are called G2-manifolds or Spin(7)-manifolds, respectively. In this course, I will introduce various topics of G2 and Spi...