Algebra, Logic and Topology

 

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details

Title
Categories with colimits, 2-monads and Deligne's tensor product

Abstract
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.

Speaker(s)
Ignacio Lopez Franco (CMUC)

Date
October 27, 2009

Time
15.30

Room
Sala 5.5

 
     
 

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