Abstract for the talk on 29.06.2021 (11:00 h)

Seminar on Nonlinear Algebra

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

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.


18.10.2021, 14:55