Jan 16, 10:00-11:00, 2017
Math building (58), room -101, BGU

Speaker: Anton Khoroshkin (HSE, Moscow)

Little discs operad, graph complexes and applications

The little cubes operad is one of the key objects of the deformation theory of
the last decades. I will outline its geometric definition, some combinatorial
models and different known results and applications.

The framed little cubes operad is much less studied and I will report on some
recent results of related deformation theory, explain relationships with
Deligne-Mumford compactifications of stable curves of zero genus and use it to
prove some conjectures stated for braid and cacti groups whose representations
appear naturally as tensor products in tensor and coboundary categories