学术报告：Cox rings of rational surfaces and flag varieties

 中科院数学与系统科学研究院

数学研究所

学术报告会

报告人：张加劲 教授（四川大学数学系)

题  目：Cox rings of rational surfaces and flag varieties

时  间：12.03（星期三）, 09:30-10:30

地  点：数学院南楼N913室

摘要：The Cox rings of del Pezzo surfaces are closely related to the Lie groups E_n. In this talk, we generalize the definition of Cox rings to certain rational surfaces related to Lie groups G=A_n,D_n or E_n.  We show that the Cox ring of such a surface S is closely related to an irreducible representation V of G, and is generated by degree one elements. The Proj of the Cox ring of S is a sub-variety of the orbit of the highest weight vector in V, and both are closed sub-varieties of $\mathbb{P}(V)$ defined by quadratic equations.