5 citations · 12 across the 10 of their papers we have counts for
12 papers
Bounded Representations by
Przemyslaw Chojecki
We prove that every sufficiently large integer can be written in the form with . The proof converts the problem into finding a p…
Approaching graph problems with continuous variable quantum computing
Michał Stęchły, Ntwali Bashige, Przemysław Chojecki
We introduce a method for solving the Max-Cut problem using a variational algorithm and a continuous-variables quantum computing approach. The quantum circuit consists of two parts…
p-adic Jacquet-Langlands correspondence and patching
Przemyslaw Chojecki, Erick Knight
We describe two candidates for a local p-adic Jacquet-Langlands correspondence and using patching we show that they are in fact isomorphic. We then study locally algebraic vectors…
DeepAlgebra - an outline of a program
Przemyslaw Chojecki
We outline a program in the area of formalization of mathematics to automate theorem proving in algebra and algebraic geometry. We propose a construction of a dictionary between au…
Overconvergent modular forms and perfectoid Shimura curves
Przemyslaw Chojecki, David Hansen, Christian Johansson
We give a new construction of overconvergent modular forms of arbitrary weights, defining them in terms of functions on certain affinoid subsets of Scholze's infinite-level modular…
An adjunction formula for the Emerton-Jacquet functor
John Bergdall, Przemyslaw Chojecki
The Emerton-Jacquet functor is a tool for studying locally analytic representations of p-adic Lie groups. It provides a way to access the theory of p-adic automorphic forms. Here w…
Strong local-global compatibility in the p-adic Langlands program for U(2)
Przemyslaw Chojecki, Claus Sorensen
We prove that certain Galois-isotypic parts of the completed cohomology group for U(2) can be written as a completed tensor product of a representation coming from the p-adic Langl…
Ordinary representations and companion points for U(3) in the indecomposable case
John Bergdall, Przemyslaw Chojecki
We prove that certain p-adic Banach representations, associated to local ordinary Galois representations, constructed by Breuil and Herzig appears in the completed cohomology of a…
On non-abelian Lubin-Tate theory and analytic cohomology
Przemyslaw Chojecki
We prove that the p-adic local Langlands correspondence for GL_2(Q_p) appears in the etale cohomology of the Lubin-Tate tower at infinity. We use global methods using recent result…
Weak local-global compatibility and ordinary representations
Przemyslaw Chojecki
We introduce a general formalism with minimal requirements under which we are able to prove the pro-modular Fontaine-Mazur conjecture. We verify it in the ordinary case using the r…
On mod p non-abelian Lubin-Tate theory for GL_2(Q_p)
Przemyslaw Chojecki
We analyse the mod p étale cohomology of the Lubin-Tate tower both with compact support and without support. We prove that there are no supersingular representations in the H^1_c o…
Density of crystalline points on unitary Shimura varieties
Przemyslaw Chojecki
We prove that crystalline points are dense in the spectrum of the completed Hecke algebra on unitary Shimura varieties.