8 citations · 47 across the 19 of their papers we have counts for
19 papers · 1 filter
On the abundance of rigid meromorphic cocycles for quadratic forms in four variables
Lennart Gehrmann, Sören Sprehe
Let be an anisotropic quadratic space of dimension over the rationals and let be a prime such that the local quadratic space is the orthogon…
On rational quadratic cocycles
Lennart Gehrmann
Let be a non-degenerate -dimensional quadratic space over the rationals of real signature . For every integer we construct classes in…
Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points
Lennart Gehrmann, Xavier Guitart, Marc Masdeu
We develop the tools required to effectively evaluate the Bianchi rigid meromorphic cocycles introduced by Darmon-Gehrmann-Lipnowski at big ATR points, and use them to obtain the f…
The Gross--Kohnen--Zagier theorem via -adic uniformization
Lea Beneish, Henri Darmon, Lennart Gehrmann +1
This article gives a new proof of the Gross--Kohnen--Zagier theorem for Shimura curves which exploits the -adic uniformization of Cerednik--Drinfeld. The explicit description of…
Iwasawa theory and mock plectic points
Michele Fornea, Lennart Gehrmann
We use Iwasawa theory, at a prime inert in a quadratic imaginary field , to study the arithmetic properties of mock plectic invariants for elliptic curves of rank two. More…
Rigid meromorphic cocycles for orthogonal groups
Henri Darmon, Lennart Gehrmann, Michael Lipnowski
Rigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a -adic analogue of Borcherds' singu…
On the algebraicity of polyquadratic plectic points
Michele Fornea, Lennart Gehrmann
We establish direct evidence of the arithmetic significance of plectic Stark-Heegner points for elliptic curves of arbitrarily large rank. The main contribution is a proof of the a…
L-invariants for cohomological representations of PGL(2) over arbitrary number fields
Lennart Gehrmann, Maria Rosaria Pati
Let be a cuspidal, cohomological automorphic representation of an inner form of over a number field of arbitrary signature. Further, let …
Plectic Stark-Heegner points
Michele Fornea, Lennart Gehrmann
We propose a conjectural construction of global points on modular elliptic curves over arbitrary number fields, generalizing both the p-adic construction of Heegner points via Cere…
Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations
Lennart Gehrmann
Recently, Gekeler proved that the group of invertible analytic functions modulo constant functions on Drinfeld's upper half space is isomorphic to the dual of an integral generaliz…
On quaternionic rigid meromorphic cocyles
Lennart Gehrmann
Recently, Darmon and Vonk initiated the theory of rigid meromorphic cocycles for the group . One of their major results is the algebraicity of the d…
Gelfand's trick for the spherical derived Hecke algebra
Lennart Gehrmann
Gelfand's trick shows that the spherical Hecke algebra of a -adic split reductive group is commutative. We adapt this strategy in order to show that the spherical derived Hecke…
Big principal series, p-adic families and L-invariants
Lennart Gehrmann, Giovanni Rosso
In earlier work, the first named author generalized the construction of Darmon-style -invariants to cuspidal automorphic representations of semisimple groups of higher…
Automorphic L-invariants for reductive groups
Lennart Gehrmann
Let be a reductive group over a number field , which is split at a finite place of , and let be a cuspidal automorphic representation of , which is…
Derived Hecke algebra and automorphic L-invariants
Lennart Gehrmann
Let be a cohomological automorphic representation of over a number field of arbitrary signature and assume that the local component of at a prime is…
Functoriality of automorphic L-invariants and applications
Lennart Gehrmann
We study the behaviour of automorphic L-Invariants associated to cuspidal representations of GL(2) of cohomological weight 0 under abelian base change and Jacquet-Langlands lifts t…
Leading terms of anticyclotomic Stickelberger elements and p-adic periods
Felix Bergunde, Lennart Gehrmann
Let E be a quadratic extension of a totally real number field. We construct Stickelberger elements for Hilbert modular forms of parallel weight 2 in anticyclotomic extensions of E.…
On Shalika models and p-adic L-Functions
Lennart Gehrmann
We use modular symbols to construct p-adic L-functions for cohomological cuspidal automorphic representations on GL(2n), which admit a Shalika model. Our construction differs from…
On the order of vanishing of Stickelberger elements of Hilbert modular forms
Felix Bergunde, Lennart Gehrmann
We construct Stickelberger elements for Hilbert modular cusp forms of parallel weight 2 and use recent results of Dasgupta and Spiess to bound their order of vanishing from below.…