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PGL_2 motivic local systems on the project line minus 4 points and torsion points on the associated elliptic curve
左康教授(Mainz大学数学系)
2018-01-01 12:13  华东师范大学

数学系与“核心数学与实践”重点实验室短课程

摘要
We introduce the notions of arithmetic Fontaine-Faltings module and arithmetic periodic Higgs bundle. As an example, we speculate there is one to one correspondence between the set of PGL_2 motivic local systems on the projective line minus 4 points and the set of torsion points on the associated elliptic curve via arithmetic period Higgs bundles and a proposed arithmetic Simpson correspondence. This is a joint project with R.R. Sun and J.B. Yang

华东师范大学数学系
上海市核心数学与实践重点实验室