Recent development in anabelian geometry of global fields - A.Tamagawa
Abstract
The anabelian geometry of global fields -- number fields and global function fields (i.e. function fields of one variable over finite fields) -- was established very nicely in the 1970s, long before Grothendieck proposed the philosophy of anabelian geometry, and is now well known in the names of the Neukirch-Uchida theorem and Uchida's theorem. In this talk, we will survey recent development in anabelian geometry of global fields, where the absolute Galois groups are replaced by various quotients.