-
6 Jun 2016 - 10 Jun 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
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