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SUMMARY:Twisted cohomology and Soergel bimodules - Tomas Mejia Gomez (John
 s Hopkins University)
DTSTART:20240611T154500Z
DTEND:20240611T161500Z
UID:TALK217777@talks.cam.ac.uk
DESCRIPTION:We will explore a homotopy theoretical perspective on Soergel 
 bimodules. These are objects of representation theory origin\, and they fe
 ature in knot theory when defining categorified link invariants such as Kh
 ovanov-Rozansky homology. Algebraic topology comes into the mix when looki
 ng at Soergel bimodules and related algebraic objects (such as their Hochs
 child homology) as equivariant cohomologies of certain spaces with torus a
 ctions. This gives a nice framework to interpret the algebra of Soergel bi
 modules and link homologies. We place a particular focus on what twisted c
 ohomology theory can say about various flavors of link homology\, and poin
 t at further directions suggested by this topological point of view.
LOCATION:External
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