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This course is part of the 2026 Undergraduate Summer School curriculum. This course is an introduction to basic cosmology based on Einstein’s theory of gravity (general relativity), to the modern ΛCDM model of the universe and its limitations, and to dark energy. The last lecture is non-standard and explores a plausible alternative to dark energy based on alternative theories of gravity. You are encouraged to ask questions in class (and outside) at all times.

This course is part of the 2026 Undergraduate Summer School curriculum. This course introduces modern artificial neural network architectures and explores how they can be used to study quantum many-body systems as key models underlying quantum computation and condensed matter physics. Students will learn the basics of quantum many-body theory and artificial neural networks and see how these tools can be combined to represent quantum states, analyze data, and optimize quantum experiments. The course provides both conceptual foundations and practical insight into how artificial intelligence is transforming the study of complex quantum systems.

This course is part of the 2026 Undergraduate Summer School curriculum. This four-lecture course traces dark matter from the evidence that it must exist (Bullet Cluster, CMB, galactic rotation curves) through the two leading models — heavy thermal relics protected by a symmetry (WIMPs) and ultralight bosons produced non-thermally (axions). The final lecture turns to detection, and discusses how to build a dark matter experiment.

Field-level inference has recently emerged as a powerful alternative to traditional summary-statistic approaches in the analysis of cosmological data sets. This technique exploits the full information content of data from the cosmic microwave background, galaxy redshift surveys, and forthcoming multi-wavelength imaging campaigns, allowing us to extract considerably more information from cosmic surveys compared to traditional analysis methods focused on modeling two-point correlations. This workshop will convene cosmologists, statisticians, machine-learning practitioners, and high-performance-computing experts to accelerate progress on this rapidly evolving frontier. 

All sessions will be plenary to maximise cross-disciplinary dialogue, with ample time reserved for  structured discussion and collaborative problem-solving.

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Speakers

Adrian Bayer (Flatiron Institute / Princeton University)
Carolina Cuesta-Lazaro (Flatiron Institute)
Natali de Santi (Berkeley)
Adriaan Duivenvoorden (MPA Garching)
Fei Ge (Caltech)*
Yashar Hezaveh (Université de Montréal)
Mikhail Ivanov (MIT)
Jens Jasche (Stockholm University)
Azadeh Moradinezhad (CNRS - LAPTh)
Fabian Schmidt (MPA Garching)
Uros Seljak (University of California, Berkeley)
*Virtual Presenter

Scientific Organizers

Marco Bonici (University of Waterloo)
Neal Dalal (Perimeter Institute)
Beatriz Tucci (Stanford University)

The dialogue between quantum information and quantum matter has fostered notable progress in both fields. Quantum information science has revolutionized our understanding of the structure of quantum many-body systems and novel forms of out-of-equilibrium quantum dynamics. The advances of quantum matter have provided novel paradigms and  platforms for quantum information processing.

This conference aims to bring together leading experts at the intersections of quantum information and quantum matter.

Key topics include: 
1. Recent experimental progress on quantum simulation hardwares
2. First-principle classification of topological phases of matter 
3. Physics of machine learning and learning of quantum states
4. Quantum dynamics and out-of-equilibrium phases
5. Thermalization and thermal state preparation

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Speakers

Dmitry Abanin (Princeton/Google Quantum AI)*
Juan Carrasquilla (ETH Zurich)
Anthony Chen (University of California, Berkeley)
Matthew Fisher (UC Santa Barbra)
Sarang Gopalakrishnan (Princeton University)
Tarun Grover (University of California, San Diego)
Vedika Khemani (Stanford University)
Michael Levin (University of Chicago)
Andrew Lucas (University of Colorado Boulder)
Andrew Potter (Quantinuum/UBC)
Yihui Quek (EPFL)
Shengqi Sang (Stanford University)
Thomas Schuster (Caltech)
Wilbur Shirley (University of Chicago)
Ruben Verresen (University of Chicago)
Sagar Vijay (UC Santa Barbara)
Curt von Keyserlingk (King's College London)
Carolyn Zhang (Harvard University)

*Virtual

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Scientific Organizers

Tim Hsieh (Perimeter Institute)
Wenjie Ji (Perimeter Institute)
Subhayan Sahu (Perimeter Institute)
Beni Yoshida (Perimeter Institute)
Yijian Zou (Perimeter Institute)

Non-local quantum computation (NLQC) is a subject within quantum information theory. NLQC considers, in a certain setting, with how local interactions can be simulated with distributed entanglement plus communication. NLQC has recently become well connected to several other areas, including communication complexity, cryptography, AdS/CFT, and computational complexity theory. This course will focus on learning the basics of NLQC, and then on understanding its applications in these other areas.

This course will cover the basics from my book, https://arxiv.org/abs/2603.12076. It is about operational probabilistic theories. The standard approach in such theories is, implicitly, from a time forward perspective. On the other hand, we will mostly take a time symmetric perspective. The course will consists of two parts: (1) a "simple part" about simple operations having simple causal structure (where all the inputs are before all the outputs); and (2) a "complex part" about complex operations that can have complicated causal structure (a complex operation comes equipped with a causal diagram). For the simple case we are able to show that the time symmetric perspective is equivalent to the time forward perspective. In each of these two parts we set up (A) operational probabilistic theories (OPTs) in terms of operations, (B) Operational Quantum Theory (OQT) in terms of operator tensors which correspond to operations, and (C) the theory of Hilbert objects which can be doubled up to give operator tensors. Operations are required to be physical. Physicality guarantees that circuits built out of operations have probabilities between 0 and 1 and that certain causality conditions are met. We prove composition theorems for both simple and complex operations -- that when we wire together operations the resulting networks are also physical (these theorems are especially interesting in the case of complex operations).The theory of complex operations can be used to model physics happening in (discrete) spacetime. We use this to address Sorkin's impossible measurements. It turns out that if the operations are physical then there is no anomalous signaling. We develop new diagrammatic notation to deal with Hilbert objects, particularly in the complex case. We discuss the conjuposition group of transformations on Hilbert objects. This includes mirrors to notate doubling up and some mirror theorems. We use this framework to prove time symmetric causal dilation theorems for a variety of causal diagrams.

Virtual Participation Link: https://pitp.zoom.us/j/93634737051?pwd=bJkB6HrVbOsrpCFInt76DNVlx7lwiS.1.

Location & Building Access: Tue, 11.00-12.30, Sky Room Wed, 11.00-12.30, Alice Room

Participants who do not have an access card for Perimeter Institute must sign in at the security desk before each session. For information on parking or accessibility please contact [email protected].

We will study how General Relativity (GR) is similar to and especially how it differs from other gauge theories. This will explain why, from a structural perspective, it is much harder to quantize GR than other theories without relying on any specific approach to quantization. To achieve this goal, we will introduce the so-called “Covariant Phase Space Method” and use to study in detail the symmetry structure of GR and how it is intimately related to its dynamics. Along the way we will touch on (parts of) the historical debate on whether gravity should be quantized at all, discuss how to think of time evolution when there is no absolute time, and go through Wald’s proposal of black hole entropy as a Noether charge.

How do relativistic effects influence quantum information processing? This fundamental question has developed over the past decade into the new active field of Relativistic Quantum Information. It brings together concepts and ideas from special relativity, quantum optics, general relativity, quantum communication, and quantum computation. Its aims are to understand the relationship between relativistic physics and quantum information, to harness them for new techniques in quantum information processing and to better comprehend the foundations of relativistic quantum physics.

This course introduces key concepts in modern quantum matter, including spontaneous symmetry breaking, topological phases, and quantum criticality, illustrated through simple and instructive examples.

Advanced quantum field theory in lower dimension. The course will cover topics of advanced quantum field theory in lower dimension (d=2 or d=3) The topics may include string theory and/or integrability.