Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
Title: | Reconstructing number fields from Galois groups, after Neukirch, Uchida and Hoshi |
Speaker: | Fucheng Tan (Shanghai Jiao Tong University) |
Time: | 2016-9-5, 13:30—14:30 |
Place: | 610 |
Abstract: | The famous Neukirchi-Uchida theorem from 1970's tells us that the isomorphism class of a number field is completely determined by the isomorphism class of the corresponding absolute Galois group. More recently, Y. Hoshi provided a functorial reconstruction of the number field, from (certain quotient of) its absolute Galois group. Such a construction uses the Neukirch-Uchida theorem. In this talk, I will recall the Neukirch-Uchida theorem and outline Hoshi's construction. |
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