In no particular order, some interesting-looking fairly recent papers :
- Special values of the Riemann Zeta function capture all real numbers, by Emre Alkan in Proc. AMS. Shows that any real number can be approximated by a linear combination of Zeta at odd integers, with the coefficients explicitely known. Ideally, there might be something to extract that is possible to explain to undergraduates.
- Syntactic categories for Nori motives, by Luca Barbieri-Viale, Olivia Caramello and Laurent Lafforgue. (Obviously this is way over my head ; it is a collaboration that makes sense in light of the conference previously mentionned ; and this appears to be L.Lafforgue’s first collaboration, and first paper in english too.)
- Chromatic numbers of hyperbolic surfaces, by Hugo Parlier and Camille Petit to appear in Michigan Math. J. Lots of interesting results there, including a hyperbolic surface with infinite chromatic number!
- An Interpolating Distance between Optimal Transport and Fischer-Rao, by Lenaic Chizat, Bernhard Schmitzer, Gabriel Peyré and François-Xavier Vialard, in the context of the Σ-Vision project.
In other news, the Epi-Science website is progressing apparently, with the documentation dated may and june 2015 for instance.