An introduction to \(p\)-adic Hodge theory. (English) Zbl 1498.11001
Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 69-219 (2022).
Summary: These notes provide an introduction to \(p\)-adic Hodge theory. They are based on the series of lectures given by the author at the International Center of Theoretical Sciences of Tata Institute in 2019.
For the entire collection see [Zbl 1487.14002].
For the entire collection see [Zbl 1487.14002].
MSC:
| 11-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory |
| 14-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry |
| 11S15 | Ramification and extension theory |
| 14F30 | \(p\)-adic cohomology, crystalline cohomology |
| 11S20 | Galois theory |
| 14G20 | Local ground fields in algebraic geometry |
| 11F80 | Galois representations |
| 14L05 | Formal groups, \(p\)-divisible groups |
| 11F85 | \(p\)-adic theory, local fields |
| 14G45 | Perfectoid spaces and mixed characteristic |
| 14C30 | Transcendental methods, Hodge theory (algebro-geometric aspects) |
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