Higher Structures

Jan M

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  • 6 June 2016 - 10 June 2016
    8:00 am - 5:00 pm

Organisers: Philip Hackney (Universität Osnabrück) and Marcy Robertson (University of Melbourne)

Speakers:

  • Clark Barwick (Massachusetts Institute of Technology)
  • Philip Hackney (Universität Osnabrück)
  • Ralph Kauffman (Purdue University)
  • Martin Markl (Institute of Mathematics of the Czech Academy of Sciences)
  • Emily Riehl  (Johns Hopkins University)
  • Marcy Robertson (University of Melbourne)
  • Victor Turchin (Kansas State University)

Program

  Monday, 6 June 2016 Tuesday, 7 June 2016 Wednesday, 8 June 2016 Thursday, 9 June 2016 Friday, 10 June 2016
08:00 – 09:00 Breakfast Breakfast Breakfast Breakfast Breakfast
09:20 -09:45 Welcome
09:45 – 10:45 Weak complicial sets
Emily Riehl
Operad-like structures, pasting schemes and graph complexes
Martin Markl
∞-properads
Philip Hackney/Marcy Robertson
Feynman categories
Ralph Kaufmann
∞-properads
 Philip Hackney/Marcy Robertson
10:45 – 11:30 Morning Tea Morning Tea Morning Tea Morning Tea Morning Tea
11:30 – 12:30 Operad-like structures, pasting schemes and graph complexes
Martin Markl
Weak complicial sets
Emily Riehl
PROPped-up graph cohomology
Martin Markl
∞-properads
Philip Hackney/Marcy Robertson
Embedding calculus and the little discs operads
Victor Turchin
– 14:00 Lunch Lunch Lunch Lunch Lunch
14:00 – 15:00 Weak complicial sets
Emily Riehl
Feynman categories
Ralph Kaufmann
Embedding calculus and the little discs operads
Victor Turchin
Parametrised higher category theory and parametrised higher algebra
Clark Barwick
Parametrised higher category theory and parametrised higher algebra
Clark Barwick
15:00 – 15:45 Question / discussion Question / discussion
16:00

 

 

 

 

 

 

 

 

18:15 5:30pm: Cheese and Wine Tasting
Venue: Rec area
19:00 Dinner Dinner Dinner Dinner Dinner

 

Abstracts

Emily Riehl

Title: weak complicial sets

Abstract: The aim of these talks will be to give a “hands on” introduction to weak complicial sets, which are simplicial sets with certain marked “thin” simplices satisfying a few axioms. By declaring all simplices above a certain dimension to be “thin”, weak complicial sets can model (∞,n)-categories for each n, including n=∞. For this reason they present a fertile setting for thinking about weak infinite dimensional categories in varying dimensions.

Victor Turchin

Title: Embedding calculus and the little discs operads

Abstract: I will talk about the manifold functor calculus and the way it is described in the language of operads. A particular attention will be given to the (embedding) calculus on a closed disc and to the recent delooping results of the corresponding Taylor tower. The crucial point in the picture is the relative formality of the little discs operads. It will be shown how this helps to compute the homology and homotopy groups of embedding spaces.

That will be a survey talk based on the work of Boavida de Brito & Weiss, Dwyer & Hess and also on my joint results with Arone, Ducoulombier, Fresse, Lambrechts, Volic, Willwacher. If time permits I will also explain the connection to a result by Haefliger about the isotopy classes of embeddings of spheres in codimension >2.

Registration is now closed.


 

 


ASSOCIATED EVENTS

Program: Higher Structures in Geometry and Physics   6 June 2016 – 17 June 2016

Conference: Higher Structures: Advances 15 June 2016 – 17 June 2016

 


 

Location

Venue:  

Address:
Water Street, Creswick, Victoria, 3363, Australia