Abstract: 3d mirror symmetry predicts equivalences between topological twists of dual 3d N=4 theories, which we would like to understand as equivalences between their 2-categories of boundary conditions. Unfortunately, it is not known how to describe these 2-categories mathematically, although the B-side has been partially understood from work of Kapustin-Rozansky-Saulina and Arinkin. For abelian gauge theories, we propose that perverse schobers provide a good model for the 2-category of A-twisted boundary conditions, and we show that this can be used to prove “homological 3d mirror symmetry” for such theories. Mathematically speaking, we give a spectral description of the 2-category of spherical functors. This is joint work with Justin Hilburn and Aaron Mazel-Gee. 
 
 
 
 
Virtual: http://berkeley.zoom.us/j/93328405860?pwd=Um1GbHBCSUJMdUlWWnd0ZVMxQmwwdz09