Speaker
Dr
Mai Katada
(Tokyo)
Description
We study the quotient of the rational homology of the IA-automorphism group IA_n of the free group F_n that is obtained as the image of the map induced by the abelianization map of IA_n on homology. We call it the Albanese homology of IA_n. In this talk, we determine the third Albanese homology of IA_n in a stable range. Moreover, in higher degree, we obtain a subquotient of the Albanese homology of IA_n in a stable range, which is conjecturally equal to the entire Albanese homology of IA_n. We also consider the Albanese homology of the Torelli groups of surfaces.
