Related lectures (64)
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Open Mapping Theorem
Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.
Coherent Interfaces: Energetics and Defects
Explores dislocation energy, topological defects, and coherent interfaces in materials.
Quantization: Topological Operators
Covers the quantization of topological operators and Ising models on square lattices.
Ward Identities and Symmetries
Delves into Ward identities, symmetries, conserved currents, and conformal symmetry, exploring their implications on correlators and quantum models.
Topology: Homeomorphisms
Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.
Conformal Field Theory & Operator Product Expansion
Explores Conformal Field Theory and Operator Product Expansion, emphasizing the role of symmetries and the quantization process in CFT.
Homogeneous Spaces
Explores formogenic spaces, topological groups, quotients, and rotations on the unit sphere.
Orbit Spaces
Explores the concept of orbit spaces and group actions in topological spaces, including translations and multiplications.
Topology: Lecture Notes 2021
Covers fundamental concepts of topology, group actions, and Galoisian properties.

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.