2019-01-17 Person of the Week

Hello, everyone! My name is Hiroyasu Miyazaki. I am a mathematician. I mainly study algebraic varieties, which are geometric objects formed by the solutions of algebraic equations. To capture some essential information on algebraic varieties, it is useful to consider their group-theoretic incarnations, called (co)homology groups. Among the many versions of cohomologies, there is a universal one: the motive theory. It has been used to study common properties of cohomologies and their relationship. However, it has been observed that the motive theory loses some important arithmetic information of algebraic varieties. I am trying to overcome this problem by generalizing the motive theory.
I was a member of iTHES in 2017. After that, I stayed at IMJ-PRG in Paris for one year, and came back to iTHEMS. I am really glad to join you again, and looking forward to many exciting discussions!