In recent work with Bhatt and Morrow, we defined a new integral p-adic cohomology theory
interpolating between étale and de Rham cohomology. An unexpected feature of this …

In this paper, we study the Iwasawa theory of a motive whose Hodge–Tate weights are 0 or
1 (thence in practice, of a motive associated to an abelian variety) at a non-ordinary prime …

On the Asymptotic Growth of Bloch–Kato–Shafarevich–Tate Groups of Modular Forms Over
Cyclotomic Extensions Page 1 Canad. J. Math. Vol. ( ), pp. – http://dx.doi.org/. /CJM-- -x ©Canadian …

Let k be a perfect field of characteristic p> 2 and K an extension of F= Frac W (k) contained in
some F (μ pr). Using crystalline Dieudonné theory, we provide a classification of p‐divisible …

In this paper, we study the Tamagawa numbers of a crystalline representation over a tower
of cyclotomic extensions under certain technical conditions on the representation. In …

Let F be a finite extension of Q p. We associate, to certain smooth pmodular representations
π of GL 2 (F), a module S (π) S (π) on the mod-p Iwasawa algebra of the standard Iwahori …