MS Seminar (Mathematics - String Theory)

Speaker: Hiroyuki Nakaoka (University of Tokyo)
Title: Introduction to the 2-categorical homological algebra
Date: Thu, Mar 19, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Related File: 15.pdf
Abstract: This talk is about a categorification. A symmetric categorical group
is regarded as a categorification of an abelian group. As such, the
2-category of symmetric categorical groups (SCG) has some
homological-algebraic properties.
A natural question is: "How can we treat this 2-categorical structure
(in abstracto)?"
We answer this by defining a 2-categorical analog of an abelian
category. The axiomatic and self-dual definition enables us to
simplify the proofs, just like the abelian category theory.
The paper concerning this talk is available at.
"http://www.tac.mta.ca/tac/index.html#vol20".