Fortnightly links (27)

• I completely missed Goncalo Tabuada, Modified mixed realizations, new additive invariants, and periods of dg categories when it appeared on the arXiv. Now it has been published, and it introduces new additive invariants for dg categories. Which is a good reason to read it.
• Rizzardo–Van den Bergh, A note on non-unique enhancements constructs a $k$-linear triangulated category with two incomparable ($\mathrm{A}_\infty$)-enhancements, where $k$ is a field. I think there might have been some hope that at least over a field such a thing was impossible, but the Alice–Michel combo is good at shattering hopes regarding the triangulated vs. dg setting.
• Gustavo Jasso, Differential graded categories is a set of lecture notes on dg categories. They look amazing, both mathematically and visually. I don't know whether the course is already over or not, according to the course's website the exam isn't until the end of February, so I can only hope that part III will be extended.

I guess this fortnight's theme was dg categories.