Alexandros Groutides

collaborators

6 papers

math.NT2026

Integrality of $GL_{2} \times GL_{2}$ Rankin-Selberg integrals for ramified representations

Alexandros Groutides

Let $I ¨ _{1}, I ¨ _{2}$ be irreducible admissible generic tempered representations of $GL_{2} (F)$ for some finite extension $F / Q_{p}$ of odd residue characteristic. Inspired…

math.NT2026

On Rankin-Selberg integral structures and Euler systems for $GL_{2} \times GL_{2}$

Alexandros Groutides

We study how Rankin-Selberg periods and distinction problems interact with integral structures in spherical Whittaker type representations. Using this representation-theoretic fram…

math.NT2026

A note on toric periods in unramified families

Alexandros Groutides

Let $A$ be the algebra $C [X_{1}^{\pm 1}, X_{2}^{\pm 1}]$ and $Q (A)$ its quotient field. In this short article, we exhibit the correct normalization for the toric period on the…

math.NT2025

Euler systems for $GSp (4)$ over imaginary quadratic fields

Alexandros Groutides

We construct an Euler system attached to general-type cohomological cuspidal automorphic representations of $GSp (4)$ twisted by a Groessencharacter of an imaginary quadrat…

math.NT2025

Integral structures in smooth $GL_{2} (Q_{p})$ -representations and zeta integrals

Alexandros Groutides

Using zeta-integrals and lattices of functions on a spherical variety, we study integral structures in spherical representations of $GL_{2} (Q_{p})$ and their interact…

math.NT2025

On integral aspects of Asai periods and Euler systems for $Res_{E / Q} GL_{2}$

Alexandros Groutides

Let $E / Q$ be a totally real quadratic field. Using unramified harmonic analysis in Hecke modules, we study the $ℓ$ -adic integral behavior of the (unramified part of the…

Integrality of GL2​×GL2​ Rankin-Selberg integrals for ramified representations

On Rankin-Selberg integral structures and Euler systems for GL2​×GL2​

A note on toric periods in unramified families

Euler systems for GSp(4) over imaginary quadratic fields

Integral structures in smooth GL2​(Qp​)-representations and zeta integrals

On integral aspects of Asai periods and Euler systems for ResE/Q​GL2​

Integrality of $GL_{2} \times GL_{2}$ Rankin-Selberg integrals for ramified representations

On Rankin-Selberg integral structures and Euler systems for $GL_{2} \times GL_{2}$

Euler systems for $GSp (4)$ over imaginary quadratic fields

Integral structures in smooth $GL_{2} (Q_{p})$ -representations and zeta integrals

On integral aspects of Asai periods and Euler systems for $Res_{E / Q} GL_{2}$