[Alta-Logic] peripatetic seminar tomorrow
Jonathan Gallagher
jdgall84 at gmail.com
Thu Nov 9 18:59:08 MST 2017
Details can be found here:
http://peripatetic-seminar.cpsc.ucalgary.ca/wp/?event=ben-macadam-and-priyaa-srinivasan-2
Alternatively see below.
*Where*: ICT616
*When*: 11:15 am on Friday, Nov. 10
*Talk 1 - Ben MacAdam*
*Title*: Linear/Non-Linear models in a 2-category: Part 1
*Abstract*:
A linear/non-linear model is a monoidal adjunction between a cartesian
category and symmetric monoidal category. Such an adjunction gives rise to
a coalgebraic modality which in turn a model of MELL. Birkedal showed that
these results translate easily to fibred monoidal categories — here one
obtains a model in each fiber category. We show that many of these results
can be further generalized to pseudomonoids in 2-categories with suitable
universal properties.
*Talk 2 - Priyaa Srinivasan*
*Title: Structures for decoherent*
*Abstract:*
This talk will introduce and develop the structure required for studying
decoherence in certain monoidal categories. Our driving example is a
decoherence structure in CP*[FHilb]
Our goal is to move towards understanding the following:
Theorem:
Let C be a dagger compact closed category and C_{pure} be a subcategory of
C that inherits the dagger and compact closed structure. Suppose C_{pure}
has a decoherence structure with purification, then there exists an
invertible dagger functor from CP*[C_{pure}] -> C such that F(f \otimes g)
= F(f) \otimes F(g).
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