I will give a brief introduction to Heegaard Floer homology and survey what’s known about its “extended” structure via Lipshitz-Ozsvath-Thurston’s bordered Floer homology and Douglas-Lipshitz-Manolescu’s cornered Floer homology. Then I will sketch a connection between this extended structure and a more algebraic problem, the construction of tensor products for higher representations, arising from my recent work with Raphael Rouquier.

Zoom invitation is sent to the geometry and topology seminar list. If you are not on the list, please, contact Peter McGrath host to get the link.