Kaptain-k-theory

Some todos

Teichmuller characters

Create an article about Teichmuller characters and their use in witt vectors. Mention the introduction of http://www.claymath.org/sites/default/files/brinon_witt.pdf for its relation to Witt vectors

• https://planetmath.org/TeichmullerCharacter
• https://math.stackexchange.com/questions/1092009/the-teichm%C3%BCller-character
• https://math.stackexchange.com/questions/3131004/algorithm-to-compute-the-teichmuller-character
• https://wstein.org/books/bsd/bsd/node10.html

Homotopy limits of DG categories

• https://www2.math.upenn.edu/~blockj/papers/HHA-2017-0019-0002-a017.pdf

F1 Geometry

• Discuss gluing of categories in https://arxiv.org/abs/0903.2024 and use this to construct the model of F1 geometry used in that article
• Borger's F1 geometry - https://arxiv.org/abs/0906.3146
• Durov's F1 geometry - https://arxiv.org/abs/0704.2030
• Deitmar's F1 geometry and Toen Vaquiee's - (uses monoids) http://web.archive.org/web/20210721171430/http://www.mat.unimi.it/users/vezzani/Files/Research/tesi_vezzani.pdf

Deformations

• Excellent notes - http://web.archive.org/web/20210506170730/http://math.columbia.edu/~hliu/classes/f17-algebraic-geometry.pdf