Published in electronic and print formats by mathematical sciences publishers in Berkeley msp.org/tunisjm Tunisian Journal of Mathematics an international publication organized by the Tunisian Mathematical Society Volume 2, 2020 • Looijenga line bundles in complex analytic elliptic cohomology Charles REZK • Fronts d’onde des représentations tempérées et de réduction unipotente pour SO(2n+1) Jean-Loup WALDSPURGER • Spectral Mackey functors and equivariant algebraic K-theory, II Clark BARWICK, Saul GLASMAN AND Jay SHAH • Twisted Calabi–Yau ring spectra, string topology, and gauge symmetry Ralph L. COHEN and Inbar KLANG • Semiclassical approximation of the magnetic Schrödinger operator on a strip: dynamics and spectrum Mouez DIMASSI • Duality relations among multiple series with three parameters Masahiro IGARASHI • G-symmetric monoidal categories of modules over equivariant commutative ring spectra Andrew J. BLUMBERG and Michael A. HILL • Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field Bruce W. JORDAN, Zev KLAGSBRUN, Bjorn POONEN, Christopher SKINNER and Yevgeny ZAYTMAN • On p-adic vanishing cycles of log smooth families Shuji SAITO and Kanetomo SATO • Tame multiplicity and conductor for local Galois representations Colin J. BUSHNELL and Guy HENNIART • Nilpotence theorems via homological residue fields Paul BALMER • Finite dimensional reduction of a supercritical exponent equation Mohamed BEN AYED • Potentially good reduction loci of Shimura varieties Naoki IMAI and Yoichi MIEDA • Monodromy and log geometry Piotr ACHINGER and Arthur OGUS • The Markov sequence problem for the Jacobi polynomials and on the simplex Dominique BAKRY and Lamine MBARKI • The cohomology of C 2 -equivariant A(1) and the homotopy of ko C2 Bertrand J. GUILLOU, Michael A. HILL, Daniel C. ISAKSEN and Douglas CONNER RAVENEL • Degeneracy loci, virtual cycles and nested Hilbert schemes, I Amin GHOLAMPOUR and Richard P. THOMAS • Almost C p Galois representations and vector bundles Jean-Marc FONTAINE • On log motives Tetsushi ITO, Kazuya KATO, Chikara NAKAYAMA and Sampei USUI • Equidistribution and counting of orbit points for discrete rank one isometry groups of Hadamard spaces Gabrielle LINK • A generalization of a power-conjugacy problem in torsion-free negatively curved groups Rita GITIK • A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields François VIGNERON • Trigonometric series with a given spectrum Yves MEYER