讨论班和报告
当前位置:首页  讨论班和报告  报告
胡勇——Rost kernels of division algebras over complete discrete valuation fields
发布人:许全华  发布时间:2019-08-21   浏览次数:10

题目Rost kernels of division algebras over complete discrete valuation fields


报告人胡勇(南方科技大学)


时间:8月22日,16:30-17:30


地点明德楼B区201学术报告厅


摘要Let F be a field, and D be a central division F-algebra of prime power degree. By the Rost kernel of D we mean the subgroup of F^* consisting of elements \lambda such that the cohomology class (D)\cup (\lambda)\inH^3(F) vanishes.  In general, this subgroup contains the Suslin kernel, which we define to be the group generated by m-th powers of reduced norms from D^{\otimes m}, for all m\ge 1. In 1985, Suslin conjectured that the Rost and the Suslin kernels always coincide. In this talk we will discuss some new cases of his conjecture, for complete discrete valuation fields. This is based on a joint work with Zhengyao Wu.