In mathematics, a Drinfeld module (or elliptic module) is roughly a special kind of module over a ring of functions on a curve over a finite field, generalizing...

forms, through the notions of elliptic module and the theory of the geometric Langlands correspondence. Drinfeld introduced the notion of a quantum group...

In mathematics a Yetter–Drinfeld category is a special type of braided monoidal category. It consists of modules over a Hopf algebra which satisfy some...

analysis. It is used in the definition of the Carlitz module – an example of a Drinfeld module. We work over the polynomial ring Fq[T] of one variable...

{\displaystyle \{w_{1},\dots ,w_{m}\}} forms a group with the field addition. Drinfeld module Additive map David Goss, Basic Structures of Function Field Arithmetic...

algebraic variety function field (scheme theory) algebraic function Drinfeld module Gabriel Daniel & Villa Salvador (2007). Topics in the Theory of Algebraic...

free modules. In general, the precise relation between flatness and projectivity was established by Raynaud & Gruson (1971) (see also Drinfeld (2006)...

"Walking Stuka" Shtuka, a sort of generalization of the mathematical Drinfeld module This disambiguation page lists articles associated with the title Stuka...

\operatorname {Hom} _{R}(M,R)} . dualizing dualizing module Drinfeld A Drinfeld module is a module over a ring of functions on algebraic curve with coefficients...

mathematics, Drinfeld reciprocity, introduced by Drinfeld (1974), is a correspondence between eigenforms of the moduli space of Drinfeld modules and factors...

found in the lecture of Heckenberger. Consider a Yetter–Drinfeld module V in the Yetter–Drinfeld category H H Y D {\displaystyle {}_{H}^{H}{\mathcal {YD}}}...

antipode of H is bijective. A Yetter–Drinfeld module R over H is called a braided bialgebra in the Yetter–Drinfeld category H H Y D {\displaystyle {}_{H}^{H}{\mathcal...

Institutions MIT Thesis The Mordell-Weil theorem, rigidity, and pairings for Drinfeld modules  (1994) Doctoral advisor Kenneth Alan Ribet Doctoral students Kirsten...

Nichols Zoeller theorem for Hopf algebras in the category of Yetter Drinfeld modules", Communications in Algebra, 29 (6): 2481–2487, doi:10.1081/AGB-100002402...

kinds of noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras), compact...

a branch of mathematics, the center (or Drinfeld center, after Soviet-American mathematician Vladimir Drinfeld) is a variant of the notion of the center...

Huang, Kriz, and others, D-module-theoretic objects called chiral algebras introduced by Alexander Beilinson and Vladimir Drinfeld and factorization algebras...

its dual, using the Drinfeld quantum double construction. If the Hopf algebra H is quasitriangular, then the category of modules over H is braided with...

1985, Introduction Deligne, P.; Husemöller, D. (1987). "Survey of Drinfeld's modules" (PDF). Contemp. Math. 67 (1): 25–91. doi:10.1090/conm/067/902591...

equidistribution and invariant measures, especially on p-adic spaces. dynamics on Drinfeld modules. number-theoretic iteration problems that are not described by rational...

random matrix theory, and she has shown interest in elliptic curves and Drinfeld modules. She is the 2013 winner of the Krieger–Nelson Prize, given annually...

"Explicit Class Field Theory in Function Fields: Gross-Stark Units and Drinfeld Modules." She was then awarded a Churchill Scholarship to study for a year...

Beilinson & Drinfeld (2004) as a rigorous version of the rather vague concept of a chiral algebra in physics. In Chiral Algebras, Beilinson and Drinfeld introduced...

1999 September 17 Died in Pittsburgh, PA The Carlitz module is generalized by the Drinfeld module An identity regarding Bernoulli numbers Carlitz wrote...

quasi-isomorphic to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated...

Lie-* algebra is a D-module with a Lie* bracket. They were introduced by Alexander Beilinson and Vladimir Drinfeld (Beilinson & Drinfeld (2004, section 2...

{\displaystyle \tau _{V,W}} , most importantly the modules over quasitriangular Hopf algebras and Yetter–Drinfeld modules over finite groups (such as Z 2 {\displaystyle...

polynomial ring — this can be applied especially in the theory of Drinfeld modules. Let k {\displaystyle k} be a field of characteristic p {\displaystyle...

bialgebras: they were first defined by the Ukrainian mathematician Vladimir Drinfeld in 1990. A quasi-bialgebra differs from a bialgebra by having coassociativity...

Stochastic Processes, Jean-François Le Gall (2022, ISBN 978-3-031-14205-5) Drinfeld Modules, Mihran Papikian (2023, ISBN 978-3-031-19706-2) Graduate Studies in...