Quadratic conductor formulas for motivic spectra

Time: 2022-12-19 Mon 15:30-17:00

Venue:Zoom: 537 192 5549(PW: BIMSA)

Organizer:Jie Wu, Nanjun Yang, Jingyan Li

Speaker:Enlin Yang Peking University


We use the machinery of A1-homotopy theory to study the geometric ramification theory. We define the quadratic Artin conductor for a motivic spectrum on a smooth proper curve and obtain a quadratic refinement of the classical Grothendieck-Ogg-Shafarevich formula. Then we use the non-acyclicity class to formulate a quadratic conductor formula. In some sense, we obtain a quadratic version of Bloch’s conductor formula. This is joint work with Fangzhou Jin.

DATEDecember 19, 2022
Related News
    • 0

      Teichmüller spaces, quadratic differentials, and cluster coordinates

      AbstractIn the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will describe a generalization of their result. I will explain how, by replacing holomorphic differentials by meromorphic differentials, one is naturally led to consider an object called the enh...

    • 1

      Error statistics and scalability of quantum error mitigation formulas

      Quantum error mitigation is crucial for us to protect quantum computing against quantum errors before quantum error correction is truly available, which is still one or two decades away. Though some error mitigation protocols, like error extrapolation and error cancellation, have been demonstrated successfully in experiments using small scale quantum systems, whether they behave well on large s...