We report low-temperature de Haas-van Alphen (dHvA) effect measurements in magnetic fields up to 35 T of the heavy-fermion superconductor Ce2PdIn8. The comparison of the experimental results with band-structure calculations implies that the 4f electrons are itinerant rather than localized. The cyclotron masses estimated at high field are only moderately enhanced, 8 and 14 m0, but are substantially larger than the corresponding band masses. The observed angular dependence of the dHvA frequencies suggests quasi-two-dimensional Fermi surfaces in agreement with band-structure calculations. However, the deviation from ideal two dimensionality is larger than in CeCoIn5, with which Ce2PdIn8 bears a lot of similarities. This subtle distinction accounts for the different superconducting critical temperatures of the two compounds. The appearance of unconventional superconductivity in the vicinity of a quantum critical point (QCP) is a common trend in Ce-based heavy-fermion (HF) compounds. A more recent and still somewhat controversial issue is the influence of the Fermi-surface (FS) dimensionality on unconventional superconductivity. Indeed, reduced dimensionality of the FS leads to nesting-type magnetic instabilities [1] and thus enhances the superconductivity [2,3]. The exact knowledge of the FS topology of HF systems is, therefore, essential. In addition, this information allows distinguishing if the f electrons are itinerant or localized, i.e. whether they contribute to the FS or not.Ce 2 PdIn 8 is a recently discovered HF superconductor with T c = 0.7 K and a non-magnetic ground state [4,5]. Non-Fermi-liquid behavior was observed in both macroscopic [6-10] and microscopic [11,12] measurements at low temperature, implying that Ce 2 PdIn 8 is located very close to a QCP. It was further suggested that a twodimensional (2D) SDW-type QCP is induced by magnetic field near the upper critical field, H c2 ≈ 2 T [9]. Unconventional superconductivity was demonstrated to be due to antiferromagnetic quantum fluctuations [13]. These unusual properties are strikingly similar to those of the well-studied HF superconductor CeCoIn 5 [14-17], which is also located very close to a QCP at ambient pressure. However, the superconducting critical temperature T c = 2.3 K of CeCoIn 5 [18] is considerably higher than that of Ce 2 PdIn 8 .Ce 2 PdIn 8 crystallizes into a tetragonal Ho 2 CoGa 8 -type crystal structure with space group P 4/mmm. It belongs to the larger family of Ce n T In 3n+2 (T : transition metal, n = 1, 2, and ∞) systems, containing a sequence of n CeIn 3 layers intercalated by a T In 2 layer along the c axis. While cubic CeIn 3 (n = ∞) is a completely isotropic system, the layered structures with n = 1 and 2 are expected to lead to anisotropic properties and quasi-2D FSs. Indeed, quasi-2D FS sheets were observed in both n = 1 systems CeCoIn 5 [19,20] [24,25]. The degree of two dimensionality is expected to be larger in monolayer systems with alternating layers of CeIn 3 and T In 2 than in their bilayer counterparts, in which t...