[Alta-Logic] Series on T-monoids and 2-dimensional category theory
gscruttw at ucalgary.ca
gscruttw at ucalgary.ca
Mon Nov 23 13:36:37 MST 2009
This Wednesday, Nov. 25, I'll be starting a series of talks. The goal is
to get to a result of Mike Schulman's and I on how a great number of
mathematical objects can be constructed in the same way, by using the
"construction of T-monoids". Examples of such constructed objects include
topological spaces, metric spaces, rings, algebras, enriched categories,
internal categories, and "generalized multicategories".
The talks are also, however, an introduction to 2-dimensional category
theory: the use of 2-categories, bicategories, and double categories. The
hope is that only knowledge of basic category theory will be needed to
follow the talks.
The series will consist of:
I: Enriched Categories, Internal Categories, and 2-categories
II: Double Categories and the "Monoids and Modules" Construction
III: Virtual Double Categories and the "T-monoids and modules" construction
The talks will be on Wednesdays, 12-1pm. The first one will be in ICT
616, this Wednesday Nov. 25.
- Geoff Cruttwell
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