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Why Was Connes' Embedding Conjecture Refuted and There Are Still No Known Non-Hyperlinear Groups - Michael Chapman

Offered By: Institute for Advanced Study via YouTube

Tags

Group Theory Courses

Course Description

Overview

Explore the refutation of Connes' embedding conjecture and the ongoing search for non-hyperlinear groups in this comprehensive lecture by Michael Chapman from Hebrew University. Delve into topics such as game theory, data correlation, classical and quantum correlations, quantum commuting, winning expectations, and synchronous games. Gain insights into the ExaTheorem and tracial states as Chapman discusses the implications of this mathematical breakthrough and its impact on the field of operator algebras and quantum information theory.

Syllabus

Introduction
What is a game
Data
Correlation
Classical correlations
Quantum correlations
Quantum commuting
Winning expectation
Synchronous games
Exa
Theorem
Tracial state


Taught by

Institute for Advanced Study

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