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...
AbstractManin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. With Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I would like to discuss my joint work with Brian Lehmann and Akash Sengupta on birational geometry of exceptional sets, then I will discuss application...