p-Adic analysis introduces non-Archimedean number fields into the toolkit of theoretical physics, offering a framework in which hierarchical and ultrametric structures are treated on the same footing ...
The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...
$\bullet$ Arithmetic algebraic geometry, in particular the Langlands programme. $\bullet$ $p$-adic Hodge theory and $p$-adic Galois representations. $\bullet ...
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