Categories with colimits, 2-monads and Deligne's tensor product
 
 
Description:  I'll explain how every lax idempotent (=KZ) 2-monad has a canonical structure of a pseudo-commutative 2-monad. In the case of the 2-monad R whose algebras are categories with finite colimits, this gives rise to a (pseudo) monoidal structure on R-Alg, corresponding to a pseudo-closed structure. If time permits, I'll explain why this tensor product extends Deligne's tensor product of abelian categories. I'll only assume some familiarity with the theory of 2-monads as in Blackwell-Kelly-Power. 
Date:  2009-10-27
Start Time:   15:30
Speaker:  Ignacio Lopez Franco (CMUC/Mat.FCTUC)
Institution:  --
Place:  Room 5.5
Research Groups: -Algebra, Logic and Topology
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