| Speaker: | Hiroyuki Nakaoka (University of Tokyo) |
|---|---|
| Title: | Introduction to the 2-categorical homological algebra |
| Date (JST): | 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". |
