nLab p-adic Teichmüller theory

Idea

A version of Teichmüller theory for p-adic numbers rather than the complex numbers.

See also

• Teichmüller theory

References

• Kirti Joshi, Construction of Arithmetic Teichmüller Spaces and some applications (arXiv:2106.11452)

• Kirti Joshi, Construction of Arithmetic Teichmüller spaces II: Proof of a local prototype of Mochizuki’s Corollary 3.12 (arXiv:2303.01662)

• Kirti Joshi, Construction of Arithmetic Teichmüller spaces II($\frac{1}{2}$): Deformations of Number Fields (arXiv:2305.10398)

• Kirti Joshi, Comments on Arithmetic Teichmüller Spaces (arXiv:2111.06771)

• Kirti Joshi, Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups – Arithmetic Holomorphic Structures (arXiv:2210.11635)

See also:

• Wikipedia, p-adic Teichmüller theory