Triangulations of the Sphere (Part 1) | The n-Category Café
Oct 26, 2024 · I’m writing a short column about this paper: W. P. Thurston, Shapes of polyhedra and triangulations of the sphere. Let me describe one of the key ideas as simply as I can.
Galois Theory | The n-Category Café
Aug 15, 2024 · Galois Theory Posted by Tom Leinster. I’ve just arXived my notes for Edinburgh’s undergraduate Galois theory course, which I taught from 2021 to 2023.. I first shared the notes on my website some time ago. But it took me a while to arXiv them, because I wanted to simultaneously make public most of the other course materials.
Adjoint School 2025 | The n-Category Café
Oct 31, 2024 · The quantum computation topic, and mentor, have changed to this: Structuring Quantum Effects with Monads and Arrows. Mentor: Juliana Kaizer Vizzotto Category theory provides a mathematical framework for understanding structures and their relationships abstractly.
Axiomatic Set Theory 9: The Axiom of Choice | The n-Category Café
Nov 15, 2024 · Previously: Part 8.Next: Part 10. It’s the penultimate week of the course, and up until now we’ve abstained from using the axiom of choice.But this week we gorged on it. We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the souped-up version of ...
ACT 2025 | The n-Category Café
Dec 4, 2024 · Submission Important dates . All deadlines are AoE (Anywhere on Earth). February 26: title and brief abstract submission; March 3: paper submission
What Is Entropy? | The n-Category Café - University of Texas at …
Jul 20, 2024 · Those other quantities are important, but they’re not called ‘temperature’. They’re called the ‘thermodynamic conjugates’ of the conserved quantities in question. I haven’t heard people discuss the thermodynamic conjugate of angular momentum or momentum, but Landau uses these (perhaps implicitly—I forget) to argue that an object in …
Overview of the general case 1 The generalized McShane’s identity gives a formula for the length L1 of a pre-specified boundary component 1 of X 2Mg; n(L1;:::;L ) as a sum of terms over all pants containing 1. 2 We integrate this formula over moduli space Mg;n(L1;:::;Ln) using Mirzakhani’s integration formula which gives us an integral in …
Talk on the Tenfold Way | The n-Category Café - University of …
Feb 12, 2023 · Yes, the strong CP problem is very interesting. It’s a ‘problem’ if you believe, as most particle physicists do, that you need a good explanation for any renormalizable term that you can cook up from the fields in the Standard Model that’s missing from the Standard Model Lagrangian. I.e. just setting a coupling constant equal to zero without explanation counts as ‘cheating’ for them.
Hoàng Xuân Sính's Thesis | The n-Category Café
Aug 4, 2023 · During the Vietnam war, Grothendieck taught math to the Hanoi University mathematics department staff, out in the countryside. Hoàng Xuân Sính took notes and later did a PhD with him — by correspondence, under very difficult conditions!
The Zinn-Justin Equation | Musings - University of Texas at Austin
Jul 30, 2024 · explicitly involve both 풩 \mathcal{N} and the ghost wave-function renormalization, Z gh Z_{\text{gh}} and are corrected order-by-order in perturbation theory. Hence the relations which follow from δ BRST Γ = 0 \delta_{\text{BRST}} \Gamma=0 (called the Slavnov-Taylor Identities) are also corrected order-by-order in perturbation theory.. This is … awkward. The vertex functions are finite ...