Lecture

Orbital and Fixed Point Functors

In course

Tempor consectetur qui quis consectetur est magna irure ex ipsum magna ex irure culpa velit. Cupidatat enim pariatur sint officia duis ea nostrud culpa culpa. Magna tempor cupidatat laboris officia elit eiusmod amet sint elit ex ut ut laborum reprehenderit. Voluptate aliquip ea fugiat officia in fugiat anim do occaecat labore nisi. Lorem aliqua ex qui fugiat in labore proident id exercitation tempor proident minim voluptate deserunt.

Description

This lecture formalizes and generalizes the construction of orbits and fixed points of a group action to any category, describing it in terms of adjunctions. Functors for orbits and fixed points for group sets are constructed, showing they are left and right adjoints to the functor providing a set with a trivial group action. The lecture also covers how to define morphisms, the naturalness of certain applications, and the verification of naturalness in the context of group actions.

Instructor

aute pariatur

Ad ea est elit excepteur aliqua mollit eu minim est id tempor est. Eiusmod veniam qui laboris ex ullamco pariatur anim consequat laborum laboris ad. Irure laboris nostrud cupidatat voluptate consequat voluptate est aliqua qui velit elit.

Official source

https://mediaspace.epfl.ch/media/0_8ta9kqof

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

Related lectures (32)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.