196,742 research outputs found
L-invariants for cohomological representations of PGL(2) over arbitrary number fields
No full textGehrmann L, Pati MR. L-invariants for cohomological representations of PGL(2) over arbitrary number fields. Forum of Mathematics, Sigma. 2024;12: e71.**Abstract**
Let
be a cuspidal, cohomological automorphic representation of an inner form
G
of
over a number field
F
of arbitrary signature. Further, let
be a prime of
F
such that
G
is split at
and the local component
of
at
is the Steinberg representation. Assuming that the representation is noncritical at
, we construct automorphic
-invariants for the representation
. If the number field
F
is totally real, we show that these automorphic
-invariants agree with the Fontaine–Mazur
-invariant of the associated
p
-adic Galois representation. This generalizes a recent result of Spieß respectively Rosso and the first named author from the case of parallel weight
to arbitrary cohomological weights.
</p
On the algebraicity of polyquadratic Plectic Points
No full textWe 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 algebraicity of plectic points associated to polyquadratic CM extensions of totally real number fields. Moreover, we relate the non-vanishing of plectic points to analytic and algebraic ranks of elliptic curves
Plectic Stark–Heegner points
No full textWe propose a conjectural construction of determinants of global points on modular elliptic curves over arbitrary number fields, generalizing both the p-adic construction of Heegner points via Čerednik–Drinfeld uniformization and the definition of classical Stark–Heegner points. In alignment with Nekovář and Scholl's plectic conjectures, we expect the non-triviality of these plectic Stark–Heegner points to control the Mordell–Weil group of higher rank elliptic curves. We provide some indirect evidence for our conjectures by showing that higher order derivatives of anticyclotomic p-adic L-functions compute plectic invariants
Infrared subtraction at next-to-next-to-leading order for gluonic initial states
No full textIn this thesis we describe a procedure for isolating the infrared singularities present in gluonic scattering amplitudes at
next-to-leading and next-to-next-to-leading order. We adopted the
antenna subtraction framework which has been successfully applied to the
calculation of NNLO corrections to the 3-jet cross section and related
event shape distributions in electron-positron annihilation. We consider
processes with coloured particles in the initial state, and in
particular two-jet production in hadron-hadron collisions at
accelerators such as the Large Hadron Collider (LHC). We derive explicit
formulae for subtracting the single and double unresolved contributions
from the double radiation gluonic processes using
antenna functions with initial state partons. We show numerically that
the subtraction term effectively approximates the matrix element in the
various single and double unresolved configurations
Probing top quark electromagnetic dipole moments in single-top-plus-photon production
No full textThe production of a single top quark in association with an isolated photon probes the electromagnetic coupling structure of the top quark. We investigate the sensitivity of kine- matical distributions at the LHC in single-top-plus-photon production in view of a detection of anomalous electric and magnetic dipole moments of the top quark
On the Algebraicity of Polyquadratic Plectic Points
No full textFornea M, Gehrmann L. On the Algebraicity of Polyquadratic Plectic Points. International Mathematics Research Notices. 2023;2023(22):19237-19265.**Abstract**
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 algebraicity of plectic points associated to polyquadratic CM extensions of totally real number fields. Moreover, we relate the non-vanishing of plectic points to analytic and algebraic ranks of elliptic curves.</p
Volunteering in Children's Sport: From Motivation to Child Protection
No full textGaldino de Souza M, Gehrmann S, Wicker P. Volunteering in Children's Sport: From Motivation to Child Protection. In: Toms M, Jeanes R, eds. Routledge Handbook of Coaching Children in Sport. New York: Routledge; 2022: 405-411
Englisch als Sprache einer internationalen Wissenschaft und/oder Mehrsprachigkeit?
No full textKoreik U. Englisch als Sprache einer internationalen Wissenschaft und/oder Mehrsprachigkeit? In: Gehrmann S, Hochholzer R, Petravić A, Grčević M, Klietz Y, eds. Mehrsprachigkeit in Bildung und Wissenschaft. Eine europäische Perspektive. . Münster, New York: Waxmann; 2024: 53-63
Soziale Herkunft von Kindern und Jugendlichen als Barriere für den Zugang zum Sport – Theoriebasierte Erklärungen und empirische Erkenntnisse
No full textGehrmann S. Soziale Herkunft von Kindern und Jugendlichen als Barriere für den Zugang zum Sport – Theoriebasierte Erklärungen und empirische Erkenntnisse. In: Gebken U, Pfitzner M, Wiesche D, eds. Grenzen und Entgrenzungen sportpädagogischen Handelns. Abstractband. Essen: Universität Duisburg-Essen; 2024: 55-56
P-adic L-function of GL(2n) via method of p-adic representation.
No full textP -adic L-functions for cohomological cuspidal automorphic representations of GL(2n) were first constructed by Ash and Ginzburg in the case of trivial coefficients. We will discuss a new construction, which works for arbitrary coefficient systems. The construction relies on the representation theory of p-adic groups as well as properties of the cohomology of p-arithmetic groups. This is a generalization of Spiessâ work on the GL(2)-case.
Related references:
L. Gehrmann, On Shalika models and p-adic L-functions, Israel Journal of Mathematics 226 Issue 1, (June 2018), 237â 294
A. Ash and D. Ginzburg, P -adic L-functions for GL(2n), Inventiones mathematicae 116 (1994), 27â 73.
M. Spiess, On special zeros of p-adic L-functions of Hilbert modular forms, Inventiones mathe- maticae 196 (2014), 69â 138Non UBCUnreviewedAuthor affiliation: Universität Duisburg-EssenPostdoctora
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