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Talk
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Topological Quantum Field Theories Lecture 20231208
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231201
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231124
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231110
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231103
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231027
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231020
Lukas Mueller Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231013
Lukas Mueller Perimeter Institute for Theoretical Physics
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QPV: An Overview and Reflections
Harry Buhrman Centrum Wiskunde & Informatica
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Popescu-Rohrlich correlations imply efficient instantaneous nonlocal quantum computation
Anne Broadbent University of Ottawa
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Non-local quantum computation meets quantum gravity
Alex May Perimeter Institute
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Quantum Error-Correction and Holographic Task
Beni Yoshida Perimeter Institute for Theoretical Physics
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Protocols and Implementations of Quantum Position Verification
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Eric Chitambar University of Illinois Urbana-Champaign
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Paul Kwiat University of Illinois
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Extended Wigner's Friend Inequalities are Nonclassical Causal Compatibility Inequalities
Marina Maciel AnsanelliPIRSA:23090058
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IAGRG School on Gravitation and Cosmology
We are living in an exciting era of great discoveries in the field of gravitational physics and cosmology. The detection of gravitational waves by LIGO in 2016 has led to an enormous interest in various aspects of the physics of compact objects. The recent observation of the black hole shadow by the Event Horizon Telescope (EHT) also initiated diverse research programs. The primary emphasis of these works is twice folded; first, to test the theory of general relativity at the strong-field regime, and second to find possible signatures of new physics.The second Indian Association for General Relativity and Gravitation (IAGRG) school on Gravitation and Cosmology aims to train young researchers in these emerging areas of Gravitational physics. The program is mostly intended for graduate students working (or starting to work) on gravitational physics, cosmology, and related areas. In this school, the emphasis would be on cutting-edge topics on the physics of compact objects, both theoretic...
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IAGRG School on Gravitation and Cosmology
We are living in an exciting era of great discoveries in the field of gravitational physics and cosmology. The detection of gravitational waves by LIGO in 2016 has led to an enormous interest in various aspects of the physics of compact objects. The recent observation of the black hole shadow by the Event Horizon Telescope (EHT) also initiated diverse research programs. The primary emphasis of these works is twice folded; first, to test the theory of general relativity at the strong-field regime, and second to find possible signatures of new physics.The second Indian Association for General Relativity and Gravitation (IAGRG) school on Gravitation and Cosmology aims to train young researchers in these emerging areas of Gravitational physics. The program is mostly intended for graduate students working (or starting to work) on gravitational physics, cosmology, and related areas. In this school, the emphasis would be on cutting-edge topics on the physics of compact objects, both theoretic...
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Topological Quantum Field Theories - mini-course
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 well-defined 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 Turaev-Viro and Douglas-Reutter 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, non-invertible symmetries, the classification of topological phases of matter, and lattice models. The course aims to provide the necessary background for understanding these applications. -
Condensed Matter meets Quantum Information
Quantum phases of condensed matter, such as superconductors and topological insulators, are promising candidates to serve as substrates for quantum information processing. Superconducting quantum interference devices (SQUIDs) already encode qubits and can be coupled together and manipulated. There are exciting recent proposals to use modes at the edges of quantum Hall systems and Majorana modes at the ends of quantum wires to encode and manipulate quantum information. These latter modes would enjoy "topological protection", being robust to local disorder or decoherence.The goal of this school/workshop is to introduce researchers in the subfields of condensed matter and quantum information to this expanding area of common interest, with the hope of sparking new ideas and collaborations. We will bring together two distinct communities: condensed matter researchers who wish to learn the basics of quantum computation, and researchers in quantum information who want learn what types of cond...
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Condensed Matter meets Quantum Information
Quantum phases of condensed matter, such as superconductors and topological insulators, are promising candidates to serve as substrates for quantum information processing. Superconducting quantum interference devices (SQUIDs) already encode qubits and can be coupled together and manipulated. There are exciting recent proposals to use modes at the edges of quantum Hall systems and Majorana modes at the ends of quantum wires to encode and manipulate quantum information. These latter modes would enjoy "topological protection", being robust to local disorder or decoherence.The goal of this school/workshop is to introduce researchers in the subfields of condensed matter and quantum information to this expanding area of common interest, with the hope of sparking new ideas and collaborations. We will bring together two distinct communities: condensed matter researchers who wish to learn the basics of quantum computation, and researchers in quantum information who want learn what types of cond...
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QPV 2023: Advances in quantum position verification
Quantum position verification (QPV) schemes use the properties of quantum information and the relativistic signalling bound to verify the location of an object (sometimes called a “tag”) to distant observers in an environment that may contain would-be spoofers. The guarantee is based on the assumptions of the underlying security model; various theoretically and practically interesting security models have been proposed. The area is attracting increasing interest, with new theoretical developments in security analyses, emerging experimental studies of QPV systems, and recently discovered surprising and intriguing connections to topics in quantum gravity. A workshop on QPV will be held at the Perimeter Institute for Theoretical Physics.
The workshop will cover topics related to all aspects of QPV, including, but not limited to:
- Theoretical developments related to the security of QPV schemes, including development or refinement of security models, proofs of security within given models, tradeoffs between security and efficiency, and Experimental studies of QPV and theoretical work aimed at developing practical QPV schemes.
- QPV’s relationship to other cryptographic tasks and primitives.
- QPV’s relationship to holography and quantum gravity.
Territorial Land Acknowledgement
Perimeter Institute acknowledges that it is situated on the traditional territory of the Anishinaabe, Haudenosaunee, and Neutral peoples.
Perimeter Institute is located on the Haldimand Tract. After the American Revolution, the tract was granted by the British to the Six Nations of the Grand River and the Mississaugas of the Credit First Nation as compensation for their role in the war and for the loss of their traditional lands in upstate New York. Of the 950,000 acres granted to the Haudenosaunee, less than 5 percent remains Six Nations land. Only 6,100 acres remain Mississaugas of the Credit land.
We thank the Anishinaabe, Haudenosaunee, and Neutral peoples for hosting us on their land.
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Perimeter Institute Graduate Students’ Conference 2023
The annual Graduate Students’ Conference showcases the diverse research directions at Perimeter Institute, both organized and presented by the students. Our graduate students are invited to share their best work with their fellow PhD students, PSI students and other PI residents interested in hearing about physics research and discussing it in a lively atmosphere full of questions.
Territorial Land Acknowledgement
Perimeter Institute acknowledges that it is situated on the traditional territory of the Anishinaabe, Haudenosaunee, and Neutral peoples.
Perimeter Institute is located on the Haldimand Tract. After the American Revolution, the tract was granted by the British to the Six Nations of the Grand River and the Mississaugas of the Credit First Nation as compensation for their role in the war and for the loss of their traditional lands in upstate New York. Of the 950,000 acres granted to the Haudenosaunee, less than 5 percent remains Six Nations land. Only 6,100 acres remain Mississaugas of the Credit land.
We thank the Anishinaabe, Haudenosaunee, and Neutral peoples for hosting us on their land.
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Bangalore School on Statistical Physics - XIV
This advanced level school is the fourteenth in the series and will be organized jointly by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI).This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.1. Statistical mechanics of complex networks by Sitabhra Sinha (IMSc, Chennai)2. Bacterial Chemotaxis by Sakuntala Chatterjee (SNBNCBS, Kolkata)3. Physics of the Glass Transition by Ludovic Berthier (University of Montpellier, France)4. Stochastic Resetting by Arnab Pal (IMSc, Chennai)5. Hydrodynamics of lattice gases by Herbert Spohn (Technical University of Munich)6. Collective dynamics of complex systems by Ram Ramaswamy (IIT Delhi)ICTS is committed to building an environment that is...
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Rational Points on Modular Curves
The study of rational points on varieties is a field of special interest to arithmetic geometers. Over the past few decades, many techniques have been used to decide whether a variety over a number field has a rational point or not, and even to describe those points completely. In this program, we are mainly interested in the study of rational points on modular curves.Elliptic curves, modular forms and modular curves are central objects in arithmetic geometry. Modular curves can be thought of as moduli spaces for elliptic curves with extra level structures. The objective of this program is to understand the theoretical and computational aspects of determining $K$-rational points on modular curves $X_H(K)$ for various fields $K$ and subgroups $H$ of $\mathrm{GL}_2(\mathbb{Z}/N\mathbb{Z})$ for any natural number N.In the mini-courses, we give an advanced introduction to the theory of rational points on modular curves, under both theoretical and computational aspects. These courses woul...
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Bangalore School on Statistical Physics - XIV
This advanced level school is the fourteenth in the series and will be organized jointly by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI).This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.1. Statistical mechanics of complex networks by Sitabhra Sinha (IMSc, Chennai)2. Bacterial Chemotaxis by Sakuntala Chatterjee (SNBNCBS, Kolkata)3. Physics of the Glass Transition by Ludovic Berthier (University of Montpellier, France)4. Stochastic Resetting by Arnab Pal (IMSc, Chennai)5. Hydrodynamics of lattice gases by Herbert Spohn (Technical University of Munich)6. Collective dynamics of complex systems by Ram Ramaswamy (IIT Delhi)ICTS is committed to building an environment that is...
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Rational Points on Modular Curves
The study of rational points on varieties is a field of special interest to arithmetic geometers. Over the past few decades, many techniques have been used to decide whether a variety over a number field has a rational point or not, and even to describe those points completely. In this program, we are mainly interested in the study of rational points on modular curves.Elliptic curves, modular forms and modular curves are central objects in arithmetic geometry. Modular curves can be thought of as moduli spaces for elliptic curves with extra level structures. The objective of this program is to understand the theoretical and computational aspects of determining $K$-rational points on modular curves $X_H(K)$ for various fields $K$ and subgroups $H$ of $\mathrm{GL}_2(\mathbb{Z}/N\mathbb{Z})$ for any natural number N.In the mini-courses, we give an advanced introduction to the theory of rational points on modular curves, under both theoretical and computational aspects. These courses woul...
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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: - Coordinate-free Differential Geometry, Weyl versus Ricci curvature versus Torsion, Vielbein Formalism, Spin-connections, Form-valued 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