Table of contents

Editorial Board
Combinatorics/Algebra
Proof of the Kontsevich non-commutative cluster positivity conjecture

Presented by: the Editorial Board

Rupel, Dylan
Number Theory
On the Erdős–Turán conjecture

Presented by: the Editorial Board

Chen, Yong-Gao
Algebra/Group Theory
Jacquet modules of ladder representations

Presented by: the Editorial Board

Kret, Arno;  Lapid, Erez
Mathematical Analysis/Theory of Signals
Sampling in a weighted Sobolev space

Presented by: Yves Meyer

Acala, Nestor G.;  Reyes, Noli N.
Partial Differential Equations/Geometry
Euclidean balls solve some isoperimetric problems with nonradial weights

Presented by: Pierre-Louis Lions

Cabré, Xavier;  Ros-Oton, Xavier;  Serra, Joaquim
Partial Differential Equations/Functional Analysis
A functional framework for the Keller–Segel system: Logarithmic Hardy–Littlewood–Sobolev and related spectral gap inequalities

Presented by: the Editorial Board

Dolbeault, Jean;  Campos, Juan
Partial Differential Equations
Strichartz estimates for the periodic non-elliptic Schrödinger equation

Presented by: Jean Bourgain

Godet, Nicolas;  Tzvetkov, Nikolay
Partial Differential Equations
On the Davey–Stewartson system with singular initial data

Presented by: Gilles Lebeau

Villamizar-Roa, E.J.;  Pérez-López, J.E.
Geometry
Corrigendum to the Note “Vector bundles on toric varieties” [C. R. Acad. Sci. Paris, Ser. I 350 (3–4) (2012) 209–212]
Differential Geometry
A construction of conformal-harmonic maps

Presented by: the Editorial Board

Biquard, Olivier;  Madani, Farid
Differential Geometry
A Note on compact hypersurfaces in a Euclidean space

Presented by: the Editorial Board

Deshmukh, Sharief
Differential Geometry
Zero mean curvature surfaces in L3 containing a light-like line

Presented by: the Editorial Board

Fujimori, S.;  Kim, Y.W.;  Koh, S.-E.;  Rossman, W.;  Shin, H.;  Takahashi, H.;  Umehara, M.;  Yamada, K.;  Yang, S.-D.
Dynamical Systems
S-adic conjecture and Bratteli diagrams

Presented by: the Editorial Board

Durand, Fabien;  Leroy, Julien
Mathematical Physics
On stable solutions of the finite non-periodic Toda lattice

Presented by: the Editorial Board

Ikeda, Kaoru
Calculus of Variations
An elementary exclusion principle for Michell trusses

Presented by: Étienne Ghys

Granowski, Ross
Editorial Board