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题  目:Arithmetic Simpson Correspondence


报 告 人:左康 (德国美因茨大学数学系教授)


时  间: 2018年10月8日 15:00


摘  要:We propose an arithmetic Simpson correspondence for Higgs bundles over arithmetic schemes. It predicts that the monodromy of the Yang-Mills-Higgs connection on a rank-two graded stable Higgs bundle on the projective line of degree -1 and with logarithmic singularities at four punctured points lies in an algebraic number ring if and only if the zero of the Higgs field is the image of a torsion point on the elliptic curve as double cover of the projective line ramified at thes four points. We construct 26 pieces of complete solutions for monodromies lying in the integer ring and Higgs fields having zeros of 1, 2, 3, 4, and 6. This is a joint project with J. Lu, X. Lu, R. Sun, and J. Yang.


地  点: 西大楼308报告厅


邀 请 人:陈柯  老师