The Fargues-Fontaine Curve (Math 205) The Fargues-Fontaine Curve

Time and place: MWF 9:00 - 9:50, APM 5402

Professor: Jacob Lurie
The course syllabus.

Lectures (Warning: these notes are sloppy. Use at own risk.):
Lecture 1: Overview.
Lecture 2: Tilting.
Lecture 3: Untilting.
Lecture 4: Holomorphic Functions of the Variable p.
Lecture 5: Norms.
Lecture 6: Definition of the Fargues-Fontaine Curve.
Lecture 7: The Artin-Hasse Exponential.
Lecture 8: The de Rham Period Ring.
Lecture 9: Divisors.
Lecture 10: Structure of the Fargues-Fontaine Curve.
Lecture 11: Trivial Eigenspaces of the Frobenius.
Lecture 12: Detection of Zeroes.
Lecture 13: Digression-Jensen's Formula.
Lecture 14: The Metric Structure of Y.
Lecture 15: Zeroes of Primitive Elements.
Lecture 16: Converging to a Zero.
Lecture 17: Untilts of an Algebraically Closed Field.
Lecture 18: Bounded and Meromorphic Functions of p.
Lecture 19: Line Bundles on the Fargues-Fontaine Curve.
Lecture 20: The Harder-Narasimhan Filtration.
Lecture 21: Covers of the Fargues-Fontaine Curve.
Lecture 22: Line Bundles on Covers.
Lecture 23: Formal Groups.
Lecture 24: Lubin-Tate Formal Groups.
Lecture 25: Functions on Y_E.
Lecture 26: Isocrystals.
Lecture 27: Applications.

Back to Jacob Lurie's home page.