These notes--originating from a one-semester class by their second author at the University
of Minnesota--survey some of the most important Hopf algebras appearing in combinatorics …

Publisher Summary This chapter discusses the aspects of Symm, which relate directly to the
Witt vector constructions and their properties. The Witt vector construction is a very beautiful …

ON A QUESTION OF KEATING AND RUDNICK Introduction We work over a finite field k = F q
inside a fixed algebraic closure k. We fix Page 1 ON A QUESTION OF KEATING AND …

Using Buium's theory of arithmetic differential characters, we construct a filtered F-isocrystal
H (A) K associated to an abelian scheme A over a p-adically complete discrete valuation …

L'objectif de ce travail est de revenir sur le problème de la schématisation de [Gro],
particulièrement dans le cas global au-dessus de Spec (Z). Pour cela nous démontrons la …

Witt vectors. Part 1 Page 1 Michiel Hazewinkel 1 CWI Direct line: +31-20-5924204 POBox
94079 Secretary: +31-20-5924233 1090GB Amsterdam Fax: +31-20-5924166 E-mail: mich@cwi.nl …

This is Part III of the paper “Witt vectors and a question of Keating and Rudnick”. We prove
equidistribution results for the L-functions attached to “super-even” characters of the group of …

We introduce differential characters of Drinfeld modules. These are function-field analogues
of Buium's p-adic differential characters of elliptic curves and of Manin's differential …

Weibel proved that p-inverted K-theory is 𝔸 1-invariant on 𝔽 p-schemes and K-theory with
ℤ∕ p-coefficients is 𝔸 1-invariant on ℤ [1 p]-schemes. We extend this result to all finitary …

In this note, we study an integral analogue of animated $\delta $-rings: Animated $\lambda $-
rings. We define animated $\lambda $-rings in terms of animated rings equipped with a …