Michael Batanin

Here is a list of talks given by Michael Batanin at the Australian Category Seminar. Click on the title of a talk for an abstract.

Distributive operadic categories – 3 August 2022
Comparing Feynman and Operadic categories – 11 December 2019
Explicit Poisson bracket on total complex of n-commutative cosimplicial monoid – 5 June 2019
An explicit E_n-action on total complex of (n-1)-commutative monoid (part 2) – 10 April 2019
An explicit E_n-action on total complex of (n-1)-commutative monoid (part 1) – 3 April 2019
Localization of substitudes – 5 December 2018
Presheaves of polynomial monads and Thomason's theorem – 22 August 2018
W-locally constant functors and localisation of operads – 20 June 2018
Graphs as an operadic category – 28 February 2018
Internal algebras classifiers of polynomial monads and homotopy pushouts – 2 August 2017
Quillen equivalences between categories of algebras – 29 March 2017
Mapping spaces and internal algebra classifiers – 15 March 2017
Cosimplicial monoids, E_n-algebras and Davydov-Yetter cohomology – 7 September 2016
Comprehensive factorization for operadic categories – 27 July 2016
Model structures on algebras of operads – 25 February 2015
A short operadic proof of the Baez-Dolan stabilization hypothesis – 30 July 2014
Operadic categories and duoidal Deligne's conjecture (part 5) – 9 April 2014
Operadic categories and duoidal Deligne's conjecture (part 4) – 2 April 2014
Operadic categories and duoidal Deligne's conjecture (part 3) – 26 March 2014
Operadic categories and duoidal Deligne's conjecture (part 2) – 19 March 2014
Operadic categories and duoidal Deligne's conjecture (part 1) – 12 March 2014
When the category of algebras of a polynomial monad can not have a transferred model structure – 1 May 2013
h-monoidal model categories and left properness – 20 February 2013
Algebraic adjunctions and their applications – 8 August 2012
Polynomial monads and symmetric monoidal categories – 27 June 2012
Nontrivial relations between transferring and localization of model structures (part 2) – 7 December 2011
Nontrivial relations between transferring and localization of model structures (part 1) – 30 November 2011
A unified approach for transferring model structures on monoids, n-operads and symmetric operads – 31 August 2011
Thoughts about Swiss-Cheese – 8 June 2011
Duoidal center and duoidal Deligne's conjecture – 23 March 2011
Tamarkin complex as many object Hochschild complex (part 5) – 9 March 2011
Tamarkin complex as many object Hochschild complex (part 4) – 2 March 2011
Tamarkin complex as many object Hochschild complex (part 3) – 23 February 2011
Tamarkin complex as many object Hochschild complex (part 2) – 16 February 2011
Tamarkin complex as many object Hochschild complex (part 1) – 9 February 2011
What is endomorphism operad? – 25 August 2010
On natural operations on Hochschild complex – 9 December 2009
Monoid axiom and model structure for operads – 7 October 2009
n-Multitensors and symmetric multitensors – 3 June 2009
On tensor product of A_{\infty}-categories, E_n-algebras and higher categories – 27 May 2009
Higher braided operads and the stabilisation hypothesis – 25 March 2009
Locally constant n-operads as higher braided operads II – 20 August 2008
Locally constant n-operads as higher braided operads – 13 August 2008
Cocrossed cosimplicial groups and the Deligne conjecture – 7 November 2007
The funny tensor product and DG-categories – 2 August 2006
What do DG-categories form? (after Tamarkin) – 26 July 2006
More about complementary orders and configuration spaces – 1 March 2006
Internal algebras of cartesian monads – 1 February 2006
Complementary orders and n-fold loop spaces – 23 November 2005
Coherence for n-fold loop spaces explicitly (work in progress) – 5 October 2005
E_n-operads: a street directory II – 22 June 2005
E_n-operads: a street directory – 15 June 2005
Operadic compactification – 30 March 2005
Categorical Getzler-Jones operad II – 2 March 2005
Categorical Getzler-Jones operad – 23 February 2005
Opetopes and polynomial functors – 27 October 2004
A_infty n-categories – 26 May 2004
Lax monoids and configuration spaces II – 18 February 2004
Lax monoids and configuration spaces – 11 February 2004
Does an E_n-analogue of Stasheff's operad exist? – 15 October 2003
On some properties of free operad construction – 6 August 2003
Internal operads and iterated monoidal categories, Part II – 5 March 2003
Internal operads and iterated monoidal categories – 26 February 2003
Coherence for n-fold loop spaces – 18 December 2002
Computads and slices of operads – 21 August 2002
One example of an n-operad with its n-suspension being E_n-operad – 7 August 2002
Q_n operads – 12 June 2002
Combinatorics of internal n-operads – 6 March 2002
Operadic suspension, n-operads and symmetric operads – 6 February 2002
Operadic suspension and n-fold lax monoidal categories – 23 January 2002
Computads, Eckmann-Hilton argument and operadic suspension – 19 December 2001
1-operads versus nonsymmetric operads: two universal examples – 18 July 2001
Contractible multitensors of higher dimensional structures – 11 July 2001
Higher dimensional homotopical algebra and Deligne's conjecture – 20 June 2001
On the Pénon method of weakening algebraic structures – 21 March 2001
Operad of shuffle polytopes – 5 April 2000
Pénon's 5-minute definition of weak omega-category – 22 September 1999
Cooperative games, permutoresultohedra and 4-D coherence – 19 May 1999
Informal discussion on homotopy 4-types – 10 March 1999
Iterated localization for operads and the n-categorical tensor product problem (cont.) – 2 December 1998
Iterated localization for operads and the n-categorical tensor product problem – 25 November 1998
Some properties of generalized computads – 10 June 1998
How to define an operad by generators and relations – 18 March 1998
Montreal's progress in weak categories (notes on Joyal's and Hermida's talks and Joyal-Street's conversations) – 29 October 1997
Montreal's progress in weak categories (notes on Joyal's and Hermida's talks and Joyal-Street's conversations) – 22 October 1997
Finitary monads on globular sets and notions of computad they generate – 21 May 1997
Higher order operads and their algebras from the point of view of the theory of monoidal globular categories – 6 November 1996
Coherence for monoidal globular categories – 30 October 1996
Monoidal globular categories as a natural environment for the theory of weak n-categories – 23 October 1996
2-operads and bicategories – 4 September 1996
On the definition of weak n-categories III – 28 August 1996
On the definition of weak n-categories II – 14 August 1996
On the definition of weak n-categories – 31 July 1996

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