How does an algebraic geometer interpret Taylor series?
- Anna-Laura Sattelberger (MPI MiS, Leipzig)
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.