A lecture by Jean-Pierre Demailly of CNRS, Grenoble.

Algebraic geometry is the art of solving polynomial equations. Greek mathematicians already considered "Diophantine equations", which consist of finding integer or rational solutions. It turns out that this problem is deeply connected to the geometry of the set of complex points and to the existence of entire analytic solutions, and is usually governed by the degrees of the polynomials involved. We will describe informally some recent results on these questions.

https://www.sissa.it/news/sissa-colloquium-analytic-and-arithmetic-solutions-algebraic-equations

TEX2018 hosts the summer school Under the Surface of Memory Phenomena, the first activity of the Innovative Training Network M-GATE - Memory Research: Ground-breaking, Applied and Technological Exchanges.

We are happy to announce the publication in Current Biology of  “Accuracy of rats in discriminating visual objects is explained by the complexity of their perceptual strategy.” (link here for the main article and here for an accompanying Dispatch of Philippe Schyns). The paper originated in the doctoral thesis of Vladimir Djurdjevic, supervised by Davide Zoccolan, and explains how the variability of rat perceptual strategies accounts for the variable proficiency of the animals in complex object discrimination tasks.

Many phenomena in mathematics and science can be modeled by drawing finite networks whose nodes are connected by edges with specified lengths. After imposing various natural constraints, the set of all such models forms a geometric space, with one point for each possible model.