# Workshop on "$\infty$-categories and their applications", August 17 - 20, 2020

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Organiser(s):
Hongyi Chu & Bruno Stonek
Date:
Mon, 2020-08-17 09:00 - Thu, 2020-08-20 19:15

### Update!The workshop will take place remotely. More information and the program will follow.

The quest for solid foundations for $\infty$-categories started several decades ago, but from the mid-2000s there have been spectacular developments which excitingly accelerated the pace of progress. This workshop will focus on these objects, both in their foundations and in the applications to different fields of mathematics. The workshop consists of 4 minicourses on $\infty$-categories and on related topics which have benefited substantially from the $\infty$-categorical viewpoint.

We think this workshop will prove interesting for advanced Master students, PhD students, seasoned mathematicians from other areas who want to learn some new $\infty$-categorical approaches, and more generally for anybody interested in new developments with $\infty$-categories.

#### Minicourses

Bergner, Julie (University of Virginia) - Models for homotopical higher categories
Haugseng, Rune (Norwegian University of Science and Technology) - Introduction to $\infty$-operads
Nikolaus, Thomas (WWU Münster) - Higher Categories and Algebraic K-Theory
Barwick, Clark (University of Edinburgh) - Stratified spaces and exodromy

#### Registration

To register please use the registration webform. The registration will not be closed before August 2, 2020.

#### Contact

If you have any questions, please feel free to contact catsandapps@mpim-bonn.mpg.de.

#### Recordings

Julie Bergner Models for homotopical higher categories, Part I  Part II

Rune Haugseng Introduction to -operads,  Part I  Part II

Thomas Nikolaus Higher Categories and Algebraic K-Theory, Part I   Part II

Clark Barwick Stratified spaces and exodromy, Part I   Part II

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