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Combinatorial QFT, CO 739-002, September 4 - December 2, 2025

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.

This course is offered by the University of Waterloo's Department of Combinatorics & Optimization.

Lectures will be held at Perimeter Institute, 31 Caroline St N, Waterloo. Students will need to sign in and out of Perimeter each day. No classes week of October 13.

December 2025

Dec 02
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (24/24) new

November 2025

Nov 27
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (23/24) new
Nov 25
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (22/24) new
Nov 20
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (21/24) new
Nov 18
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (20/24) new
Nov 13
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (19/24) new
Nov 11
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (18/24) new
Nov 06
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (17/24) new
Nov 04
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (16/24) new

October 2025

Oct 30
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (15/24) new
Oct 28
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (14/24) new
Oct 23
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (13/24) new
Oct 21
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (12/24) new
Oct 09
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (11/24) new
Oct 07
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (10/24) new
Oct 02
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (9/24) new

September 2025

Sep 30
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (8/24) new
Sep 25
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (7/24) new
Sep 23
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (6/24) new
Sep 18
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (5/24) new
Sep 16
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (4/24) new
Sep 11
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (3/24) new
Sep 09
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (2/24) new
Sep 04
Michael Borinsky, "Lecture - Combinatorial QFT, CO 739-002" (1/24) new

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