A comparison theorem in homological algebra
Time: 2015-11-16
Published By:
Speaker(s): Dr. Xiaowen Hu (BICMR, PKU)
Time: 00:00-00:00 November 16, 2015
Venue: Room 29 at Quan Zhai, BICMR
Title: A comparison theorem in homological algebra
Speaker: Dr. Xiaowen Hu (BICMR, PKU)
Time: 14:00--15:00, November 16
Venue: Room 29 at Quan Zhai, BICMR
Abstract: We show that if a homomorphism between two chain complexes of free abelian groups $K$ and $L$ becomes a quasi-isomorphism after tensoring any finite abelian group, and if the homology groups of $L$ are finitely generated, then the homology groups of $K$ have relatively simple structures. As an application, we obtain a structure theorem for the Suslin homology of complex varieties.
Speaker: Dr. Xiaowen Hu (BICMR, PKU)
Time: 14:00--15:00, November 16
Venue: Room 29 at Quan Zhai, BICMR
Abstract: We show that if a homomorphism between two chain complexes of free abelian groups $K$ and $L$ becomes a quasi-isomorphism after tensoring any finite abelian group, and if the homology groups of $L$ are finitely generated, then the homology groups of $K$ have relatively simple structures. As an application, we obtain a structure theorem for the Suslin homology of complex varieties.
