Here are two fantastic pieces of news, with one piece of bad news in the middle.
The 2016 Mathematical Society of Japan Algebra Prize has been awarded to Kazuhiko Kurano (Meiji University), for his work in intersection theory over local rings and its application to the theory of Cohen-Macaulay modules. Congratulations! The other recipients of this year’s prize are Hidenori Katsurada and Masa-hiko Saito.
The Mathematical Sciences Program of the National Security Agency has announced that they will not be able to fund any new projects in fiscal year 2017.
Yves André has proved the direct summand conjecture using
perfectoid methods and Bhargav Bhatt has simplified the proof greatly and
also proved the derived version. Here are André’s preprint and Bhatt’s preprint.