Resources

Papers

• Non-Archimedean analytic geometry as relative algebraic geometry - Oren Ben-Bassat, Kobi Kremnizer.

• Dagger geometry as Banach algebraic geometry - Federico Bambozzi, Oren Ben-Bassat.

• Stein domains in Banach algebraic geometry - Federico Bambozzi, Oren Ben-Bassat, Kobi Kremnizer.

• Analytic geometry over F_1 and the Fargues-Fontaine curve - Federico Bambozzi, Oren Ben-Bassat, Kobi Kremnizer.

• Fréchet modules and descent - Oren Ben-Bassat, Kobi Kremnizer.

• Homotopy in exact categories - Jack Kelly.

• Koszul duality in exact categories - Jack Kelly.

• Beyond perturbation 1: de Rham spaces - Dennis Borisov, Kobi Kremnizer

• Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians in differential geometry - Dennis Borisov, Kobi Kremnizer

• Detailed proof of a theorem on coincidence of homological dimensions of Fréchet algebras of smooth functions on a manifold with the dimension of the manifold. - Olga Ogneva

• A new proof of the Gerritzen-Grauert Theorem. - Michael Temkin

• Cohomology on affinoid spaces. - Marius van der Put

• Continuous valuations. - Roland Huber

• Spectral Analytic Geometry. - Tomoki Mihara and Frédéric Paugam

Lecture Slides

• Lecture 1: Introduction to Derived Bornological Geometry - Jack Kelly.

• Lecture 2: Homological Bornological Algebra - Federico Bambozzi.

• Lecture 3: Banach Algebraic Geometry I - Oren Ben-Bassat.

• Lecture 4: Banach Algebraic Geometry II - Oren Ben-Bassat.

• Lecture 5: Derived Bornological Stacks and Derived Analytic Geometry - Jack Kelly.

• Lecture 6: Sheafyness of Banach Ring Spectra - Federico Bambozzi.

• Lecture 7: Bornological and Condesned Mathematics - Kobi Kremnizer.

• Lecture 8: The Integral Adeles and the Berkovich Spectrum in Derived Analytic Geometry - Oren Ben-Bassat.

• Lecture 9: Spectral Bornological Geometry. - Jack Kelly

• Some Errata - Oren Ben-Bassat.

Lecture Recordings

• Lecture 1: Introduction to Derived Bornological Geometry - Jack Kelly.

• Lecture 2: Homological Bornological Algebra - Federico Bambozzi.

• Lecture 3: Banach Algebraic Geometry I - Oren Ben-Bassat.

• Lecture 4: Banach Algebraic Geometry II - Oren Ben-Bassat.

• Lecture 5: Derived Bornological Stacks and Derived Analytic Geometry - Jack Kelly.

• Lecture 6: Sheafyness of Banach Ring Spectra - Federico Bambozzi.

• Lecture 7: Bornological and Condensed Mathematics - Kobi Kremnizer.

• Lecture 8: The Integral Adeles and the Berkovich Spectrum in Derived Analytic Geometry - Oren Ben-Bassat.

• Lecture 9: Spectral Bornological Geometry - Jack Kelly.