15 citations · 33 across the 15 of their papers we have counts for
18 papers
Families of wild 1-motives
Grzegorz Banaszak, Dorota Blinkiewicz
In this paper we present families of wild 1-motives, i.e., families of pairwise non-isomorphic Deligne 1-motives, over rings of -integers , which have the sam…
Motivic Serre group and Sato--Tate conjecture
Grzegorz Banaszak, Kiran S. Kedlaya
This paper concerns the Algebraic Sato--Tate and Sato--Tate conjectures, based on Serre's original motivic formulation, with an eye towards explicit computations of Sato--Tate grou…
Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture
Grzegorz Banaszak, Kiran S. Kedlaya
We make explicit Serre's generalization of the Sato-Tate conjecture for motives, by expressing the construction in terms of fiber functors from the motivic category of absolute Hod…
Galois actions on the eigenproblem of the Heisenberg heptagon
Jan Milewski, Grzegorz Banaszak, Tadeusz Lulek +2
We analyse the exact solution of the eigenproblem for the Heisenberg Hamiltonian of magnetic heptagon, i.e. the ring of N=7 nodes, each with spin 1/2, within the XXX model with nea…
Hecke characters and the -theory of totally real and CM number fields
Grzegorz Banaszak, Cristian D. Popescu
Let be an abelian extension of number fields with either CM or totally real and totally real. If is CM and the Brumer-Stark conjecture holds for , we constru…
Mixed Hodge structures and Weierstrass -function
Grzegorz Banaszak, Jan Milewski
A -operator on a complexification $V_{\C}$ of an -vector space is an operator $A \in \rm{End}_{\C} (V_{\C})$ such that where denotes the Weierstra…