🔎P-adic geometry introduces differential tools to help us understand geometry using tangent bundles and tangent spaces.
🌍The study of p-adic geometry allows us to explore interesting and exciting phenomena in the world of geometry.
📐We focus on tangent bundles and tangent spaces in a specific example, with potential generalizations.
🧠Hodge-Tate period maps play a significant role in understanding the geometry of p-adic spaces.
⚠️The naive scheme-theoretic approach to differentiation and tangent spaces doesn't work in p-adic geometry.