Perfectoid Drinfeld Modular Forms
Copyright policy )Perfectoid Drinfeld Modular Forms
In the first part, we revisit Drinfeld modular curves associated to GL(2) from the perfectoid point of view, and we show how to recover (a perfectized) part of the theory of overconvergent π-adic Drinfeld modular forms. In the second part, we review open problems for families of Drinfeld modular forms for GL(n).
- Concordia University Canada
- University of Montreal Canada
- Aix-Marseille University France
- UNIVERSITE D'AIX MARSEILLE France
- Institut de Mathématiques de Marseille France
Mathematics - Number Theory, perfectoid spaces, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Modular forms associated to Drinfel'd modules, Drinfeld modular forms, Congruences for modular and \(p\)-adic modular forms, FOS: Mathematics, p-adic families, Number Theory (math.NT), Drinfel'd modules; higher-dimensional motives, etc., perfectoid spaces., \(p\)-adic families, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Mathematics - Number Theory, perfectoid spaces, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Modular forms associated to Drinfel'd modules, Drinfeld modular forms, Congruences for modular and \(p\)-adic modular forms, FOS: Mathematics, p-adic families, Number Theory (math.NT), Drinfel'd modules; higher-dimensional motives, etc., perfectoid spaces., \(p\)-adic families, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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