**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 is 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

Our goal is to move towards understanding the following:

Theorem:

Let be a dagger compact closed category and be a subcategory of that inherits the dagger and compact closed structure. Suppose has a decoherence structure with purification, then there exists an invertible dagger functor from such that