Skip to main content

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

Alternatively have a look at the program.

Introduction

Posted in
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
MPIM Bonn
Datum: 
Mon, 2020-08-17 14:00 - 14:15

Models for homotopical higher categories, Part I

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
University of Virginia
Datum: 
Mon, 2020-08-17 14:15 - 15:30

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Questions

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
University of Virginia
Datum: 
Mon, 2020-08-17 15:30 - 16:00

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Models for homotopical higher categories, Part II

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
University of Virginia
Datum: 
Mon, 2020-08-17 16:30 - 17:45

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Questions

Posted in
Speaker: 
Julie Bergner
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
University of Virginia
Datum: 
Mon, 2020-08-17 17:45 - 18:15

In this mini-course, we'll review some of the common models for $(\infty,1)$-categories, then discuss the different ways that one can generalize them to obtain models for higher $(\infty,n)$-categories.

Introduction to $\infty$-operads, Part I

Posted in
Speaker: 
Rune Haugseng
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
Norwegian University of Science and Technology
Datum: 
Die, 2020-08-18 10:15 - 11:30

I will attempt to give a friendly introduction to the theory of $\infty$-operads, a powerful framework for working with homotopy-coherent algebraic structures. In the first talk I will introduce Lurie’s model of $\infty$-operads,  and in the second I will survey some other models, including extensions to enriched $\infty$-operads.

Questions

Posted in
Speaker: 
Rune Haugseng
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
Norwegian University of Science and Technology
Datum: 
Die, 2020-08-18 11:30 - 12:00

I will attempt to give a friendly introduction to the theory of $\infty$-operads, a powerful framework for working with homotopy-coherent algebraic structures. In the first talk I will introduce Lurie’s model of $\infty$-operads,  and in the second I will survey some other models, including extensions to enriched $\infty$-operads.

Higher Categories and Algebraic K-Theory, Part I

Posted in
Speaker: 
Thomas Nikolaus
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
WWU Münster
Datum: 
Mit, 2020-08-19 15:15 - 16:30

In this series of two talks we will give a short introduction to algebraic K-theory. 

The idea of these lectures is to formulate K-theory and some basic properties and statements as far as possible in the language of ∞-categories and stable homotopy theory. We will specifically introduce K-theory as the group completion and derive its basic properties using this perspective. We will review some basic calculations and outline the Q-construction. If time permits we will also sketch an extension of the functoriality of K-theory to polynomial functors.

Questions

Posted in
Speaker: 
Thomas Nikolaus
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
WWU Münster
Datum: 
Mit, 2020-08-19 16:30 - 17:00

In this series of two talks we will give a short introduction to algebraic K-theory. 

The idea of these lectures is to formulate K-theory and some basic properties and statements as far as possible in the language of ∞-categories and stable homotopy theory. We will specifically introduce K-theory as the group completion and derive its basic properties using this perspective. We will review some basic calculations and outline the Q-construction. If time permits we will also sketch an extension of the functoriality of K-theory to polynomial functors.

Stratified spaces and exodromy, Part I

Posted in
Speaker: 
Clark Barwick
Organiser(s): 
Hongyi Chu & Bruno Stonek
Zugehörigkeit: 
University of Edinburgh
Datum: 
Mit, 2020-08-19 17:30 - 18:45
© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A