Recently, there has been a surge in the study of mapping class groups of weird-looking surfaces, probably, whose initiation is the Danny Calegari blog post: Big mapping class groups and dynamics on June 22, 2009. This series of talks will give an overview of the recent progress in big mapping class groups.

[AV20]     Javier Aramayona and Nicholas G. Vlamis. Big mapping class groups: an overview In In the tradition of Thurston-geometry and topology, pages 459-496. Springer, Cham, [2020] ⓒ2020. (arxiv version)

[YCV21]     Priyam Patel, Yassin Chandran, and Nicholas G. Vlamis. Infinite-type surfaces and mapping class groups: open problems, 2021.