
Closed function spaces for differential algebra
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The Hilbert Nullstellensatz provides a bridge between
algebra and geometry, which becomes all the more concrete
for examples of algebraically closed fields like the complex numbers.
What are analogues of this situation in differential algebra?

In our talk, we will survey closed function spaces for
the resolution of different types of differential equations:
linear partial differential equations, asymptotic differential
equations, recursive linear differential equations,
and non-linear ordinary differential equations.
We will also show some applications of having
these concrete examples of closed function spaces.
