Australian Category Seminar

Distributive operadic categories (abs)

An explicit E_n-action on total complex of (n-1)-commutative monoid (abs)

⤳ from 3 April

Explicit Poisson bracket on total complex of n-commutative cosimplicial monoid (abs)

Comparing Feynman and Operadic categories (abs)

Graphs as an operadic category

W-locally constant functors and localisation of operads (abs)

Presheaves of polynomial monads and Thomason's theorem (abs)

Localization of substitudes

Mapping spaces and internal algebra classifiers (abs)

Quillen equivalences between categories of algebras (abs)

Internal algebras classifiers of polynomial monads and homotopy pushouts (abs)

Comprehensive factorization for operadic categories

Cosimplicial monoids, E_n-algebras and Davydov-Yetter cohomology

Model structures on algebras of operads

Operadic categories and duoidal Deligne's conjecture

⤳ from 12 March

⤳ from 19 March

⤳ from 26 March

⤳ from 2 April

A short operadic proof of the Baez-Dolan stabilization hypothesis

h-monoidal model categories and left properness

When the category of algebras of a polynomial monad can not have a transferred model structure

Polynomial monads and symmetric monoidal categories

Algebraic adjunctions and their applications

Tamarkin complex as many object Hochschild complex

⤳ from 9 Feburary

⤳ from 16 Feburary

⤳ from 23 Feburary

⤳ from 2 March

Duoidal center and duoidal Deligne's conjecture

Thoughts about Swiss-Cheese

A unified approach for transferring model structures on monoids, n-operads and symmetric operads

Nontrivial relations between transferring and localization of model structures

⤳ from 30 November

What is endomorphism operad?

Higher braided operads and the stabilisation hypothesis (abs)

On tensor product of A_{∞}-categories, E_n-algebras and higher categories (abs)

n-Multitensors and symmetric multitensors (abs)

Monoid axiom and model structure for operads (abs)

On natural operations on Hochschild complex

Locally constant n-operads as higher braided operads

⤳ from 13 August

Cocrossed cosimplicial groups and the Deligne conjecture

Internal algebras of cartesian monads

More about complementary orders and configuration spaces

What do DG-categories form? (after Tamarkin) (abs)

The funny tensor product and DG-categories

Categorical Getzler-Jones operad

⤳ from 23 Feburary

Operadic compactification

E_n-operads: a street directory

⤳ from 15 June

Coherence for n-fold loop spaces explicitly (work in progress)

Complementary orders and n-fold loop spaces

Lax monoids and configuration spaces

⤳ from 11 Feburary

A_∞ n-categories

Opetopes and polynomial functors

Internal operads and iterated monoidal categories

⤳ from 26 Feburary

On some properties of free operad construction

Does an E_n-analogue of Stasheff's operad exist?

Operadic suspension and n-fold lax monoidal categories

Operadic suspension, n-operads and symmetric operads

Combinatorics of internal n-operads

Q_n operads

One example of an n-operad with its n-suspension being E_n-operad

Computads and slices of operads

Coherence for n-fold loop spaces

On the Pénon method of weakening algebraic structures

Higher dimensional homotopical algebra and Deligne's conjecture

Contractible multitensors of higher dimensional structures

1-operads versus nonsymmetric operads: two universal examples

Computads, Eckmann-Hilton argument and operadic suspension

Operad of shuffle polytopes

Informal discussion on homotopy 4-types

Cooperative games, permutoresultohedra and 4-D coherence

Pénon's 5-minute definition of weak ω-category

How to define an operad by generators and relations (abs)

Some properties of generalized computads

Iterated localization for operads and the n-categorical tensor product problem (abs)

⤳ from 25 November

Finitary monads on globular sets and notions of computad they generate (abs)

Montreal's progress in weak categories (notes on Joyal's and Hermida's talks and Joyal-Street's conversations) (abs)

⤳ from 22 October

On the definition of weak n-categories (abs)

⤳ from 31 July

⤳ from 14 August (abs)

2-operads and bicategories (abs)

Monoidal globular categories as a natural environment for the theory of weak n-categories (abs)

Coherence for monoidal globular categories (abs)

Higher order operads and their algebras from the point of view of the theory of monoidal globular categories (abs)