This page is for the keynote presentation by Dr. Carlo Maria Scandolo. Abstract Resource theories are a powerful framework for studying several phenomena in quantum information. In this talk, I present some of my latest research results in this area, showing how resource theories can be fruitfully employed to open new research directions, and answer deep questions, both in quantum information and beyond.

This page is for the keynote presentation by Dr. Peter Dukes. Abstract How might you capture the notion of “dimension” of a space without any reference to coordinates or directions? This talk will explore this idea through the lens of finite geometries. We’ll define a linear space as a set of points \( X \) equipped with a family \( \mathcal{L} \) of subsets of \( X \) called lines. A subspace is just what you’d expect, namely a linear space \( (X^\prime, \mathcal{L}^\prime) \) where \( X^\prime \subseteq X \) and \( \mathcal{L}^\prime \subseteq \mathcal{L} \).

This page is for the keynote presentation by Dr. Ben Williams. Abstract The transpose is an order-2 operation on square matrices that preserves addition and reverses multiplication. For complex square matrices, the hermitian conjugate has the same properties. I will consider a sequence of increasingly exotic analogues of these operations. These analogues are related to the topological properties of certain spaces: both familiar and novel. I will try to explain all this.