Arithmetic geometry and p-adic differential equations form a dynamic nexus where number theory, algebraic geometry and p-adic analysis converge. This interdisciplinary field investigates the solutions ...
Iwahori-Hecke algebras provide a powerful algebraic framework for the analysis of mod p representations of reductive p-adic groups. These algebras emerge from the study of double coset decompositions ...
The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.
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