Asarah be-Tevet and Hayyim Nahman Bialik
The fast of Asarah be-Tevet is this Friday. See here for a post about how to observe the fast when it falls on a Friday. For a more in-depth discussion of the origins of the fast and some of its halakhic issues, see this post from Mechon Hadar.
In this post, Uri Heitner describes the Asarah be-Tevet of his youth. They didn’t fast, nor speak about any reason for fasting, rather, it was an important day because it was Hayyim Naḥman Bialik’s birthday (b. January 9, 1873). See here and here for programs to mark this day.