We will review a set of conjectures related to the structure of cohomological Hall algebras (COHA) of categories of Higgs sheaves on curves. We then focus on the case of $P^1$, and relate its COHA to the affine Yangian of $sl_2$.
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Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/grt2020
[3] https://www.mpim-bonn.mpg.de/webfm_send/547/1
[4] https://www.mpim-bonn.mpg.de/webfm_send/547
[5] https://www.mpim-bonn.mpg.de/webfm_send/548/1
[6] https://www.mpim-bonn.mpg.de/webfm_send/548
[7] https://www.mpim-bonn.mpg.de/webfm_send/550/1
[8] https://www.mpim-bonn.mpg.de/webfm_send/550
[9] https://www.mpim-bonn.mpg.de/webfm_send/551/1
[10] https://www.mpim-bonn.mpg.de/webfm_send/551
[11] https://www.mpim-bonn.mpg.de/webfm_send/553/1
[12] https://www.mpim-bonn.mpg.de/webfm_send/553