Teaching

Information regarding the course Model Theory of differential fields in characteristic zero.

Practical information

The lectures take place on the Fridays from 9am to 12.15am including a fifteen minutes break in the room Braconnier Séminaire 1.

• Lecture 1 on 09/01/2026.
• Lecture 2 on 16/01/2026.
• Lecture 3 on 23/01/2026.
• Lecture 4 on 30/01/2026.
• Lecture 5 on 06/02/2026.
• Lecture 6 on 13/02/2026.
• Lecture 7 on 06/03/2026.
• Lecture 8 on 13/03/2026.

Lecture notes

• Lecture 1. What is this course about?

• Lecture 2. Ritt-Raudenbush theory

• Lecture 3. Differentially closed fields

• Lecture 4. Elimination of imaginaries

• Lecture 5. Seidenberg’s Theorem

References

• David Marker, Model Theory of differential fields (second chapter of the book Model Theory of fields) pdf.
• Rosenlicht, On Liouville theory of elementary functions, Pacific Journal of Mathematics, Vol. 65, No. 2, 1976. pdf.
• Bouscaren E., Model Theory and Algebraic Geometry, Lecture notes in Mathematics link .