Alternatively have a look at the program.

## Introduction

## Models for homotopical higher categories, Part I

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

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

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

## Introduction to $\infty$-operads, Part I

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

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

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

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

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