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A Z-module M in a number field K gives rise to a lattice in the corresponding Euclidean space via Minkowski embedding. Such lattices often carry inherited structure from the number […]
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Algebra / Number Theory / Combinatorics Seminar
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Given any finite set of integer points S, there is an associated function f_S that encodes S, which we call its integer point transform. One can think of this integer […] |
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The Riemann–Hilbert correspondence relates algebra to differential equations on complex algebraic varieties. In characteristic p, there is an analogous correspondence due to Emerton–Kisin and later generalized by Bhatt–Lurie, where the […] |
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It is a fundamental question to find rational solutions to a given system of polynomials, and in modern language this translates into finding rational points in algebraic varieties. It is […] |
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