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Equivalences in Higher Categories

Centre International de Rencontres Mathématiques via YouTube

Overview

Explore a conference talk on equivalences in higher categories presented by Viktoriya Ozornova at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into advanced mathematical concepts including parallelmorphisms, homotopics, infinity categories, model categories, and quasicategories. Learn about key topics such as composition, mathematical axioms, vibrant objects, and the distinctions between strict one categories and infinity one categories. Gain insights into the theoretical foundations and applications of higher category theory through this in-depth, hour-long presentation recorded during the thematic meeting on Chromatic Homotopy, K-Theory and Functors.

Syllabus

Introduction
Preliminaries
Parallelmorphisms
Homotopics
Composition
Infinity categories
Mathematical concepts
Infinity category
Infinity zero categories
Axiom
Examples
Model categories
Model structure
Model category
Notation
Quasicategories
Vibrant objects
Another theorem
The model
Equivalences
Strict one category
Infinity one category

Taught by

Centre International de Rencontres Mathématiques

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