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Quantum field theory intertwines continuous and discrete structures. On the discrete side, combinatorics plays a central role in describing and understanding its expansions and models. This lecture series focuses on the combinatorial aspects of quantum field theory. In the first part, we explore analytic combinatorics techniques, inspired by QFT, for the enumeration of graphs. These methods turn out to be surprisingly powerful in addressing deep questions in algebraic geometry, topology, and statistical models on graphs. In the second part, we turn to discrete structures arising in perturbative expansions of QFT. We study these from a modern combinatorics viewpoint, using tools such as Lorentzian polynomials and generalized permutahedra to better understand the mathematical objects at the heart of quantum field theory.

For updates visit: https://michaelborinsky.com/combqft.html

This course is offered by the University of Waterloo's Department of Combinatorics & Optimization; UW students can enroll through Quest.

Lectures will be held at Perimeter Institute, 31 Caroline St N, Waterloo. Students will need to sign in and out of Perimeter each day. Note: session is cancelled for Sept 25; there is a room change for Oct 2; and no classes week of October 13.

Scroll down to Registration and Enrollment to participate.

Structure:

We will discuss 8 papers which had huge impact in physics. One week Instructor Pedro Vieira will discuss a paper; students should read it beforehand. One week later students discuss recent papers referring to that paper (20 min each student, ~ 3 presentations; at the end of the class Pedro will grade the presentations based on “Physics”, “Presentation”, “Question handling”; and give comments).

By the end of the course, students will have explored a vast set of topics in theoretical physics — spotting potential gaps to be fixed — sharpened their presentation skills through steady practice, and sparked cross-disciplinary conversations through our shared physics language.

Familiarity with Quantum Field Theory and General Relativity is assumed.

The papers:

Sept 12 & 19: On the Quantum Correction for Thermodynamic Equilibrium, Wigner, 1932 Topic: Quantum Mechanics

Sept 22 & 29: Existence theorem for certain systems of nonlinear PDEs, Foures-Bruhat, 1952 Topic: General relativity

Oct 3 & 10: The Renormalization Group and the Epsilon Expansion, Wilson and Kogut, 1973 Topic: Quantum Field Theory

Oct 10 (EXTRA) & 17: More about the Massive Schwinger Model, Coleman, 1976 Topic: 2D Quantum Field Theory

Oct 20 & 27: A sequence of approximated solutions to the S-K model for spin glasses, Parisi, 1980 Topic: Statistical Mechanics

Oct 31 & Nov 7: Quantum Field Theory and the Jones Polynomial, Witten, 1988 Topic: Topological Quantum Field Theory

Nov 10 & 17: Exactly Solvable Field Theories of Closed Strings, Brezin, Kazakov, 1989 Topic: 2D Quantum Gravity

Nov 21 & Nov 28: Unpaired Majorana fermions in quantum wires, Kitaev, 2000 Topic: Quantum Matter/Quantum Information

Schedule: This is a Friday / Monday alternating week schedule from 915am-1045am.

Exceptions: There will be an afternoon session at 130pm on Friday October 10 to avoid the Thanksgiving holiday.

Location & Building Access: Alice Room, 3rd Floor, Perimeter Institute, 31 Caroline St N, Waterloo 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 academic@perimeterinstitute.ca.

Registration and Enrollment: Please sign-up here: https://forms.office.com/r/nDQ6SDxSR4

Zoom Link https://pitp.zoom.us/j/95238695187?pwd=G6EjbywTpOagSxpbMZtgznxmuwFFBp.1

The aim of this course is to explore the main ideas of the statistical physics approach to critical phenomena. We will discuss phase transitions, using the ferromagnetic phase transition and the Ising model as our primary example. The renormalisation group approach will be an important part of this course.

Year of Quantum Across Canada: From Fundamental Science to Applications

The Institute for Quantum Computing and the Perimeter Institute for Theoretical Physics will jointly host a meeting celebrating the 100 year anniversary of the discovery of quantum mechanics. 

The conference will celebrate and aim to strengthen the quantum information science community in Canada and beyond, by bringing together leading Canadian researchers as well as members of the broader quantum community. The program will highlight the fundamental advances being made in quantum information theory and how these advances lead to applications. 

 

Topics included in the program will include:

• Quantum metrology
• Quantum simulation and quantum advantage
• Quantum error-correction and fault tolerance
• Quantum complexity and algorithms
• Quantum communication and networks
• Quantum cryptography
• Quantum information in quantum matter and quantum gravity 
  
  

 

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Speakers

Christian Bauer (Lawrence Berkeley National Laboratory)
Alexandre Blais (Université de Sherbrooke)
Sergey Bravyi (IBM Research - Thomas J. Watson Research Center)
Nikolas Breuckmann (University of Bristol)
Eric Chitambar (University of Illinois at Urbana-Champaign)
Soonwon Choi (MIT)
Zohreh Davoudi (University of Maryland)
Matthew Fisher (University of California, Santa Barbara)
Dakshita Khurana (University of Illinois Urbana-Champaign)
Aleksander Kubica (Yale University)
Hank Lamm (Fermilab)
Laura Mancinska (University of Copenhagen)
Antonio Mezzacapo (IBM)
John Preskill (Caltech)
Martin Savage (University of Washington)
Brian Swingle (Brandeis University)
Nathan Wiebe (University of Toronto)
Yu-Xiang Yang (The University of Hong Kong)

Co-Chairpersons

Marcela Carena (Perimeter Institute & University of Chicago & Fermilab)
Norbert Lütkenhaus (University of Waterloo, Institute for Quantum Computing)

Scientific Organizers and Convenors

This is a theoretical physics course that aims to review the basics of theoretical mechanics, special relativity, and classical field theory, with the emphasis on geometrical notions and relativistic formalism, thus setting the stage for the forthcoming courses in Quantum Mechanics, and Quantum Field Theory in particular, as well as in General Relativity and Quantum Gravity. Instructor: Aldo Riello Students who are not part of the PSI MSc program should review enrollment and course format information here: https://perimeterinstitute.ca/graduate-courses

In the last few years, a new perspective on probabilistic reasoning has been extensively developed with the help of tools from category theory. The idea is to shift focus from the measure-theoretic details to structural properties of information flow in the presence of uncertainty - independence, conditioning, nested uncertainty, etc. This shift allows one to reason without the need to specify a concrete model of uncertainty, be it discrete, continuous, Gaussian, possibilistic or one of many other instantiations. In this course I will present a high-level overview of the leading approach to categorical probability that is based on so-called Markov categories. We will focus on the diagrammatic language of Markov categories that can be understood without any knowledge of category theory. Using such diagrams, we can also express basic concepts that have been useful in proving a plethora of categorical versions of classical theorems - strong law of large numbers, de Finetti's theorem, d-separation criterion for Bayesian networks, ergodic decomposition theorem, zero/one laws and others.

Location & Building Access: Alice Room, 3rd Floor, Perimeter Institute, 31 Caroline St N, Waterloo

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 academic@perimeterinstitute.ca.

To request the Zoom link for online participation contact yying@perimeterinstitute.ca.

Since its founding, training has been a cornerstone of Perimeter Institute’s mission. Over the years, we have supported nearly 1,000 postdoctoral researchers and graduate students along their academic journeys. Many have gone on to make remarkable contributions in academia and industry, while others have focused on creating positive change in the world.

To mark Perimeter’s 25th Anniversary, we are proud to host the inaugural Perimeter Circle Alumni Awards event.

A shortlist of Award nominees will be providing talks and networking sessions in this 2-day event. 

Join us to meet these outstanding alumni and hear their stories beyond Perimeter.

2025 Perimeter Circle Alumni Award Shortlisted Nominees:

Academic Leadership Excellence:

• Jonathan Barrett
• Claudia de Rham 
• Astrid Eichhorn
• Flaminia Giacomini
• Stefania Gori
• Andrei Olegovich Starinets
• Chanda Prescod-Weinstein
• Robert Raussendorf
• Rowan Thomson
• Will Witzak-Krempa

 

Industry Trailblazer:

• Natacha Altamirano
• Ciaran Gilligan-Lee
• David Louapre
• Brigette Oakes
• Henry Reich

 

Pathfinder

• Sarah Croke
• Anna Knörr
• Sonali Mohapatra
• Prince Osei
• Jessica Weitbrecht

 

This event is open to Perimeter Residents, Associates and Alumni. All talks will be broadcast online. Onsite participation registration deadline is September 22.

Separate registration was required for Commnitech Breakfast on Thursday. The breakfast is now fully booked! If you did not register in advance there are no more seats available for this event.

PARKING NOTICE for September 25. Perimeter Parking lot will be closed. Please park at the MUSEUM LOT entrance is on Father David Bauer Drive off of Erb Street.

Note: The Career Trajectories and Advancement departments at Perimeter Institute will provide the meals for Thursday’s event for all approved participants. If you are unable to attend after being approved, you must notify the organizers in advance. No-shows on the day of the event will be subject to a $20 cancellation fee.

Charting the Future Symposium: Big questions in particle physics, strong gravity, and cosmology over the next 25 years

Join us for a special symposium celebrating Perimeter’s 25th anniversary. This event offers a unique opportunity to unite Perimeter alumni and friends in the fields of cosmology, particle physics, and strong gravity with our extended community, reflect on a quarter-century of discovery, and look ahead to the challenges and opportunities that will shape the next 25 years of fundamental physics.

Over the past quarter-century, we have witnessed transformative advances across our fields. In particle physics, the discovery of the Higgs boson crowned decades of effort, while precision experiments continue to probe the Standard Model and search for new physics. In strong gravity, the direct detection of gravitational waves has opened a new observational window onto black holes, neutron stars, and the very fabric of spacetime. In cosmology, precision measurements of the cosmic microwave background and large-scale structure have revolutionized our understanding of the universe’s origins and evolution, even as dark matter and dark energy remain profound mysteries.

As we look to the future, a new generation of experiments, observations, and theoretical ideas promises to drive further revolutions. From uncovering physics beyond the Standard Model to probing the nature of spacetime and the earliest moments of the cosmos, the next 25 years are poised to be as transformative as the last.

This symposium will bring together leading researchers, young scientists, alumni, and friends to celebrate past achievements, and imagine the discoveries yet to come. We invite you to be part of this landmark event at Perimeter Institute, as we honor the spirit of curiosity, ambition, and collaboration that has defined our journey so far — and will carry us forward.

 

Invited Speakers

• Haipeng An (Tsinghua University)
• Masha Baryakhtar (University of Washington)
• Brian Batell (University of Pittsburgh)
• Laura Bernard (Observatoire de Paris)
• Richard Bond (CITA)
• Pablo Bosch Gomez (Utrecht University)
• Latham Boyle (University of Edinburgh)
• Patrick Brady (University of Wisconsin-Milwaukee)
• Joe Bramante (Queen's University)
• Savas Dimopoulos (Perimeter Institute)
• Adrienne Erickcek (University of North Carolina at Chapel Hill)
• Stefania Gori (UC Santa Cruz)
• Chad Hanna (Pennsylvania State)
• Renée Hložek (University of Toronto)
• Yoni Kahn (University of Toronto)
• Vicky Kaspi (McGill University)
• Gordan Krnjaic (Fermilab)
• Ian Low (Northwestern University)
• Mathew Madhavacheril (University of Pennsylvania)
• David Morissey (TRIUMF)
• Moritz Münchmeyer (University of Wisconsin-Madison)
• Ue-Li Pen (CITA, Perimeter Institute)
• Will Percival (Perimeter Institute)
• Maxim Pospelov (University of Minnesota)
• Josef Pradler (Austrian Academy of Sciences)
• Daniel Siegel (University of Greifswald)
• Nils Siemonsen (Princeton University)
• Carlos Wagner (University of Chicago)
• Huan Yang (Tsinghua University)
• Matias Zaldarriaga (IAS)

 

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Organizing Committee
Asimina Arvanitaki
Luis Lehner
Sergey Sibiryakov
Kendrick Smith

 

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