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Topological Quantum Field Theories Lecture 20231208
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231201
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231124
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231110
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231103
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231027
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231020
Lukas Mueller Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231013
Lukas Mueller Perimeter Institute for Theoretical Physics


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Talk

Quantum Theory Lecture  100323

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090049 

Quantum Theory Lecture  100223

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23100034 

Quantum Theory Lecture  092723

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090048 

Quantum Theory Lecture  092623
Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090098 
Quantum Theory Lecture  092523

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090047 

Quantum Theory Lecture  092123

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090046 

Quantum Theory Lecture  092023

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090045 

Quantum Theory Lecture  091823

Bindiya Arora Perimeter Institute for Theoretical Physics

Dan Wohns Perimeter Institute for Theoretical Physics
PIRSA:23090044 


Talk

Classical Physics Lecture  100323
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23090037 
Classical Physics Lecture  100223
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23100033 
Classical Physics Lecture  092723
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23090036 
Classical Physics Lecture  092623
PIRSA:23090097 
Classical Physics Lecture  092523
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23090035 
Classical Physics Lecture  092223
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23090034 
Classical Physics Lecture  092023
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23090033 
Classical Physics Lecture  091823
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23090032


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Talk


Talk

Quantum Gravity Lecture (230504)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23050005 
Quantum Gravity Lecture (230502)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23050004 
Quantum Gravity Lecture (230501)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23050006 
Quantum Gravity Lecture (230427)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23040025 
Quantum Gravity Lecture (230425)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23040024 
Quantum Gravity Lecture (230424)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23040029 
Quantum Gravity Lecture (230420)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23040023 
Quantum Gravity Lecture (230418)
Aldo Riello Perimeter Institute for Theoretical Physics
PIRSA:23040022


Talk

Mathematical Physics Lecture (230505)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23050012 
Mathematical Physics Lecture (230503)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23050011 
Mathematical Physics Lecture (230501)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23050010 
Mathematical Physics Lecture (230421)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23040050 
Mathematical Physics Lecture (230419)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23040049 
Mathematical Physics Lecture (230404)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23040077 
Mathematical Physics Lecture (230417)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23040048 
Mathematical Physics Lecture (230414)
Kevin Costello Perimeter Institute for Theoretical Physics
PIRSA:23040047


Talk

Quantum Matter Lecture (230505)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23050003 
Quantum Matter Lecture (230428)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040017 
Quantum Matter Lecture (230426)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040016 
Quantum Matter Lecture (230424)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040015 
Quantum Matter Lecture (230421)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040014 
Quantum Matter Lecture (230419)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040013 
Quantum Matter Lecture (230417)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040012 
Quantum Matter Lecture (230414)
Baskaran Ganapathy Institute of Mathematical Sciences
PIRSA:23040011


Talk

Talk

Causal Inference Lecture  230412
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23040003 
Causal Inference Lecture  230405
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23040001 
Causal Inference Lecture  230403
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23040000 
Causal Inference Lecture  230329
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23030076 
Causal Inference Lecture  230322
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23030074 
Causal Inference Lecture  230320
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23030073 
Causal Inference Lecture  230315
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23030072 
Causal Inference Lecture  230313
Robert Spekkens Perimeter Institute for Theoretical Physics
PIRSA:23030071


Talk


Quantum Field Theory in Curved Spacetime (PM)  20230331
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230324
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230317
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230310
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230303
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (AM)  20230303
Sergey Sibiryakov McMaster University


Topological Quantum Field Theories  minicourse
A quantum field theory is deemed topological if it exhibits the remarkable property of being independent of any background metric. In contrast to most other types of quantum field theories, topological quantum field theories possess a welldefined mathematical framework, tracing its roots back to the pioneering work of Atiyah in 1988. The mathematical tools employed to define and study topological quantum field theories encompass concepts from category theory, homotopy theory, topology, and algebra.
In this course, we will delve into the mathematical foundations of this field, explore examples and classification results, especially in lower dimensions. Subsequently, we will explore more advanced aspects, such as invertible theories, defects, the cobordism hypothesis, or state sum models in dimensions 3 and 4 (including TuraevViro and DouglasReutter models), depending on the interests of the audience.
Today, the mathematics of topological quantum field theories has found numerous applications in physics. Recent applications include the study of anomalies, noninvertible symmetries, the classification of topological phases of matter, and lattice models. The course aims to provide the necessary background for understanding these applications. 
General Relativity for Cosmology
This is an advanced graduate course which develops the math and physics of general relativity from scratch up to the highest level. The going will sometimes be steep but I try to be always careful. The purpose is to prepare for studies in quantum gravity, relativistic quantum information, black hole physics and cosmology. Quick summary of the contents:  Coordinatefree Differential Geometry, Weyl versus Ricci curvature versus Torsion, Vielbein Formalism, Spinconnections, Formvalued Tensors, Spectral Geometry, some Cohomology.  Derivations of General Relativity including as a Gauge Theory, Diffeomorphism Invariance vs. Symmetries, Bianchi Identities vs. Local and Global Conservation Laws.  Penrose Diagrams for Black Holes and Cosmology, Types of Horizons, Energy Conditions and Singularity theorems, Properties and Classification of Exact Solutions.  Cosmology and Models of Cosmic Inflation 


AdS/CFT (2022/2023)
We will cover the basics of the gauge/gravity duality, including some of the following aspects: holographic fluids, applications to condensed matter systems, entanglement entropy, and recent advances in understanding the black hole information paradox. 
Cosmology (2022/2023)
This class is an introduction to cosmology. We'll cover expansion history of the universe, thermal history, dark matter models, and as much cosmological perturbation theory as time permits. 
Quantum Gravity (2022/2023)
The main focus of this course is the exploration of the symmetry structure of General Relativity which is an essential step before any attempt at a (direct) quantization of GR. We will start by developing powerful tools for the analysis of local symmetries in physical theories (the covariant phase space method) and then apply it to increasingly complex theories: the parametrized particle, YangMills theory, and finally General Relativity. We will discover in which ways these theories have similar symmetry structures and in which ways GR is special. We will conclude by reviewing classical results on the uniqueness of GR given its symmetry structure and discuss why it is so hard to quantize it. In tutorials and homeworks, through the reading of articles and collegial discussions in the classroomas well as good old exercisesyou will explore questions such as "Should general relativity be quantized at all? Is a single graviton detactable (even in principle)?", "What is the meaning of the wave functions of the universe?", "Can we do physics without time?". 
Mathematical Physics  Elective (2022/2023)
Title: An introduction to twistors Course Description: Twistor theory, introduced by Penrose many years ago, is a way to reformulate massless fields on fourdimensional spacetime in terms of an auxiliary 6dimensional complex manifold, called twistor space. This course will introduce twistor space and the Penrose correspondence (relating fields on twistor space and spacetime), at both classical and quantum levels. We will discuss the twistor realization of selfdual YangMills theory and of selfdual gravity. If time permits we will discuss the connection between twistors and celestial holography.

Quantum Matter (2022/2023)
Matter is quantum. Growing experimental results on materials, natural and synthetic (ion traps, cold atoms etc.,) and concomitant theoretical developments make `quantum matter' an exciting field. There is also a growing interplay of quantum matter physics and quantum information/computation. With a focus on concepts I plan to discuss key phenomenology, quantum models and theory. 
Mini introductory course on topological orders and topological quantum computing
In this mini course, I shall introduce the basic concepts in 2D topological orders by studying simple models of topological orders and then introduce topological quantum computing based on Fibonacci anyons. Here is the (not perfectly ordered) syllabus.
 Overview of topological phases of matter
 Z2 toric code model: the simplest model of 2D topological orders
 Quick generalization to the quantum double model
 Anyons, topological entanglement entropy, S and T matrices
 Fusion and braiding of anyons: quantum dimensions, pentagon and hexagon identities
 Fibonacci anyons
 Topological quantum computing

Causal Inference: Classical and Quantum
Can the effectiveness of a medical treatment be determined without the expense of a randomized controlled trial? Can the impact of a new policy be disentangled from other factors that happen to vary at the same time? Questions such as these are the purview of the field of causal inference, a generalpurpose science of cause and effect, applicable in domains ranging from epidemiology to economics. Researchers in this field seek in particular to find techniques for extracting causal conclusions from statistical data. Meanwhile, one of the most significant results in the foundations of quantum theory—Bell’s theorem—can also be understood as an attempt to disentangle correlation and causation. Recently, it has been recognized that Bell’s result is an early foray into the field of causal inference and that the insights derived from almost 60 years of research on his theorem can supplement and improve upon stateoftheart causal inference techniques. In the other direction, the conceptual framework developed by causal inference researchers provides a fruitful new perspective on what could possibly count as a satisfactory causal explanation of the quantum correlations observed in Bell experiments. Efforts to elaborate upon these connections have led to an exciting flow of techniques and insights across the disciplinary divide. This course will explore what is happening at the intersection of these two fields. zoom link: https://pitp.zoom.us/j/94143784665?pwd=VFJpajVIMEtvYmRabFYzYnNRSVAvZz09

Quantum Field Theory in Curved Spacetime
The course is an introduction to quantum field theory in curved spacetime. Upon building up the general formalism, the latter is applied to several topics in the modern theory of gravity and cosmology where the quantum properties of fundamental fields play an essential role.
Topics to be covered:
1) Radiation of particles by moving mirrors
2) Hawking radiation of black holes
3) Production of primordial density perturbations and gravity waves during inflation
4) Statistical properties of the primordial spectra
Required prior knowledge:
Foundations of quantum mechanics and general relativity