[Alta-Logic] reminder: peripatetic seminar

[Florian Schwarz]

Dear all,

This is a friendly reminder that today we will hear from Kristine Bauer 
in the peripatetic seminar. It will take place at 1pm in ICT 616.

Title: Systems of homotopy colimits

Abstract: Limits and colimit constructions are ubiquitous in category 
theory, and are one of the main tools used to understand how objects in 
a category relate to one another. These are very concrete and easily 
stated in terms of universal properties: given a diagram in a category, 
the colimit is the initial cocone making the resulting diagram commute.  
Homotopy colimits, on the other hand, have always been more difficult to 
define.  These do not satisfy a universal property in any category, and 
tend to be described in terms of a construction and properties.  In 
recent work with Brooks-Hess-Johnson-Rasmusen-Schreiner (BBHJRS for 
short) we attempted to enumerate the properties required for something 
to be a system of homotopy colimits.  Following a referee's comments, we 
transformed the list into a more familiar categorical construction.  In 
this talk, I will offer an alternative definition of homotopy colimits 
using actegories.

Hope to see you there!

Best regards,

Florian Schwarz
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