Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Martina Rovelli
Affiliation:

EPF Lausanne
Date:

Tue, 14/02/2017 - 09:30 - 10:30 $2$-Segal objects, which are a generalisation of ordinary Segal objects, were introduced and studied by

Dyckerhoff-Kapranov and GĂˇlvez-Kock-Tonks. An important example of a $2$-Segal object is the Waldhausen

construction of an exact category. The Waldhausen construction makes sense for a more general input, and the

goal of the talk is to explain that, in the discrete setting, the Waldhausen construction is in fact quite exhaustive.

More precisely, it induces an equivalence between the category of stable pointed double categories and the

category of reduced unital 2-Segal sets. This is joint work with Bergner, Osorno, Ozornova and Scheimbauer.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/6791