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pro vyhledávání: '"Wiersema, Hanneke"'
Autor:
Bellovin, Rebecca, Borade, Neelima, Hilado, Anton, Kansal, Kalyani, Lee, Heejong, Levin, Brandon, Savitt, David, Wiersema, Hanneke
Let K/Q_p be unramified. Inside the Emerton-Gee stack X_2, one can consider the locus of two-dimensional mod p representations of the absolute Galois group of K having a crystalline lift with specified Hodge-Tate weights. We study the case where the
Externí odkaz:
http://arxiv.org/abs/2309.13665
The classical theory of elliptic curves with complex multiplication is a fundamental tool for studying the arithmetic of abelian extensions of imaginary quadratic fields. While no direct analogue is available for real quadratic fields, a (conjectural
Externí odkaz:
http://arxiv.org/abs/2309.11974
Let $A/\mathbb{Q}$ be a Jacobian variety and let $F$ be a totally real, tamely ramified, abelian number field. Given a character $\psi$ of $F/\mathbb{Q}$, Deligne's Period Conjecture asserts the algebraicity of the suitably normalised value $\mathcal
Externí odkaz:
http://arxiv.org/abs/2302.10044
Autor:
Wiersema, Hanneke
In this short paper we generalise a result of Diamond--Sasaki connecting geometric modularity of algebraic weights to geometric modularity of non-algebraic weights and vice versa. In particular, we show that geometric modularity of non-algebraic weig
Externí odkaz:
http://arxiv.org/abs/2205.00946
Publikováno v:
Women in Numbers Europe III. Association for Women in Mathematics Series, vol 24 (2021), Springer, Cham
This paper surveys what is known about (conjectural) $p$-adic and $p$-modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split unitary group $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$. I
Externí odkaz:
http://arxiv.org/abs/2009.03174
Autor:
Wiersema, Hanneke
Serre's strong conjecture, now a theorem of Khare and Wintenberger, states that every two-dimensional continuous, odd, irreducible mod $p$ Galois representation $\rho$ arises from a modular form of a specific minimal weight $k(\rho)$, level $N(\rho)$
Externí odkaz:
http://arxiv.org/abs/2004.07587
Autor:
Wiersema, Hanneke, Wuthrich, Christian
Under suitable, fairly weak hypotheses on an elliptic curve $E/\mathbb{Q}$ and a primitive non-trivial Dirichlet character $\chi$, we show that the algebraic $L$-value $\mathscr{L}(E,\chi)$ at $s=1$ is an algebraic integer. For instance, for semistab
Externí odkaz:
http://arxiv.org/abs/2004.05492
This is an investigation into the possible existence and consequences of a Birch-Swinnerton-Dyer-type formula for L-functions of elliptic curves twisted by Artin representations. We translate expected properties of L-functions into purely arithmetic
Externí odkaz:
http://arxiv.org/abs/1905.04282
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