Symposium on Compositional Structures 4: Program

Here’s the program for this conference:

Symposium on Compositional Structures 4, 22–23 May, 2019, Chapman University, California. Organized by Alexander Kurz.

A lot of my students and collaborators are speaking here! The meeting will take place in Beckman Hall 101.

Wednesday May 22, 2019

• 10:30–11:30 — Registration.

• 11:30–12:30 — John Baez, “Props in Network Theory“.

• 12:30–1:00 — Jade Master, “Generalized Petri Nets”.

• 1:00–2:00 — Lunch.

• 2:00–2:30 — Christian Williams, “Enriched Lawvere Theories for Operational Semantics”.

• 2:30–3:00 — Kenny Courser, “Structured Cospans”.

• 3:00–3:30 — Daniel Cicala, “Rewriting Structured Cospans”.

• 3:30–4:00 — Break.

• 4:00–4:30 — Samuel Balco and Alexander Kurz, “Nominal String Diagrams”.

• 4:30–5:00 — Jeffrey Morton, “2-Group Actions and Double Categories”.

• 5:00–5:30 — Michael Shulman, “All (∞,1)-Toposes Have Strict Univalent Universes”.

• 5:30–6:30 — Reception.

Thursday May 23, 2019

• 9:30–10:30 — Nina Otter, “A Unified Framework for Equivalences in Social Networks”.

• 10:30–11:00 — Kohei Kishida, Soroush Rafiee Rad, Joshua Sack and Shengyang Zhong, “Categorical Equivalence between Orthocomplemented Quantales and Complete Orthomodular Lattices”.

• 11:00–11:30 — Break.

• 11:30–12:00 — Cole Comfort, “Circuit Relations for Real Stabilizers: Towards TOF+H”.

• 12:00–12:30 — Owen Biesel, “Duality for Algebras of the Connected Planar Wiring Diagrams Operad”.

• 12:30–1:00 — Joe Moeller and Christina Vasilakopoulou, “Monoidal Grothendieck Construction”.

• 1:00–2:00 — Lunch.

• 2:00–3:00 — Tobias Fritz, “Categorical Probability: Results and Challenges”.

• 3:00–3:30 — Harsh Beohar and Sebastian Küpper, “Bisimulation Maps in Presheaf Categories”.

• 3:30–4:00 — Break.

• 4:00–4:30 — Benjamin MacAdam, Jonathan Gallagher and Rory Lucyshyn-Wright, “Scalars in Tangent Categories”.

• 4:30–5:00 — Jonathan Gallagher, Benjamin MacAdam and Geoff Cruttwell, “Towards Formalizing and Extending Differential Programming via Tangent Categories”.

• 5:00–5:30 — David Sprunger and Shin-Ya Katsumata, “Differential Categories, Recurrent Neural Networks, and Machine Learning”.

3 Responses to Symposium on Compositional Structures 4: Program

  1. Here’s my talk for SYCO4 next week:

    Props in network theory.

    Abstract. To describe systems composed of interacting parts, scientists and engineers draw diagrams of networks: flow charts, Petri nets, electrical circuit diagrams, signal-flow graphs, chemical reaction networks, Feynman diagrams and the like. All these different diagrams fit into a common framework: the mathematics of symmetric monoidal categories. Two complementary approaches are presentations of props using generators and relations (which are more algebraic in flavor) and structured cospan categories (which are more geometrical). In this talk we focus on the former. A “prop” is a strict symmetric monoidal category whose objects are tensor powers of a single generating object. We will see that props are a flexible tool for describing many kinds of networks.

  2. My grad student Christian Williams and I finished this paper just in time for him to talk about it at SYCO:

    • John Baez and Christian Williams, Enriched Lawvere theories for operational semantics.

    Abstract. Enriched Lawvere theories are a generalization of Lawvere theories that allow us to describe the operational semantics of formal systems. For example, a graph-enriched Lawvere theory describes structures that have a graph of operations of each arity, where the vertices are operations and the edges are rewrites between operations. Enriched theories can be used to equip systems with operational semantics, and maps between enriching categories can serve to translate between different forms of operational and denotational semantics. The Grothendieck construction lets us study all models of all enriched theories in all contexts in a single category. We illustrate these ideas with the SKI-combinator calculus, a variable-free version of the lambda calculus, and with Milner’s calculus of communicating processes.

  3. My grad student Joe Moeller is talking at the 4th Symposium on Compositional Structures this Thursday! He’ll talk about his work with Christina Vasilakopolou, a postdoc here at U.C.R.:

    • Joe Moeller, Monoidal Grothendieck construction, SYCO4, Chapman University, 22 May 2019.

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