How does an algebraic geometer interpret Taylor series?

  • Anna-Laura Sattelberger (MPI MiS, Leipzig)
E1 05 (Leibniz-Saal)


In calculus, one learns how to deal with Taylor series of smooth functions. How to apply that theory to regular functions on an algebraic variety? In this talk, I recall the algebraic counterpart of Taylor series: arc and jet schemes of algebraic varieties. I will explain how those are related to mapping a line into a variety.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

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