Speaker: Yuta Nozaki

Title: Abelian quotients of the $Y$-filtration on the homology cylinders via
the LMO functor

Abstract:
We construct a homomorphism on the $Y$-filtration of the homology cylinders.
Our homomorphism restricted to the lower central series of the Torelli
group is not completely described by the Johnson homomorphisms.
We use this homomorphism to show that the abelianization of the Johnson
kernel of a closed surface has a torsion element.
This is the joint work with Masatoshi Sato and Masaaki Suzuki.