Annual workshop of the Seed seminar

Liste des Contributions

6. Universality of fully parked trees and catalytic equations.

Nicolas Curien (LMO, Université Paris-Saclay)

25/04/2025 10:00

We show that critical parking trees conditioned to be fully parked converge in the scaling limits towards the Brownian growth-fragmentation tree, a self-similar Markov tree different from Aldous’ Brownian tree. As a by-product of our study, we prove that positive non-linear functional equations involving a catalytic variable display a universal polynomial exponent 5/2 at their singularity,...

2. Counting Calabi-Yau black holes with mock modular forms

Boris Pioline (LPTHE, Sorbonne Université)

25/04/2025 11:15

Once put into suitable generating series, various enumerative invariants on Calabi-Yau threefolds are expected to possess modular properties, allowing to determine them uniquely from a few data points and giving powerful control on their asymptotic growth. This includes Gromov-Witten invariants in presence of a genus one fibration, Noether-Lefschetz invariants in presence of a K3 fibration, as...

3. Entanglement and renormalisation of spin systems in the generalised Landau paradigm

Clément Delcamp (IHÉS)

25/04/2025 14:00

Invoking results from topological quantum field theory, I will demonstrate that for every spin system representing a symmetric gapped phase, one can find a dual physical system whose dual symmetry is spontaneously broken. I will argue that this result has strong implications for the classical simulation of spin systems using variational tensor network methods, as this dual physical system...

4. Theorems for the modular and lightcone bootstrap

Balt Van Rees (CPHT, École Polytechnique)

25/04/2025 15:15

We consider the implications of modular invariance for the spectrum of two-dimensional CFTs. For states with high energy this question was analyzed at a qualitative level by Cardy in 1986, but rigorous statements were almost entirely absent until the analysis (based on Tauberian theorems) by Mukhametzhanov and Zhiboedeov in 2019. In this talk we consider states with a very large spin, for...

5. What can the gluing equation matrices tell us about a 3-manifold?

Stavros Garoufalidis (ICM-SUSTech, and IHÉS)

25/04/2025 16:45

Ideal triangulations of 3-manifolds with nonempty boundary were introduced by Thurston as an effective means of computing the complete hyperbolic structure on a cusped hyperbolic 3-manifold and its Dehn fillings. The combinatorics of the triangulations leads to gluing equations via Neumann-Zagier matrices, and these in turn lead to a plethora of quantum 3-manifold invariants. We will give a...

8. Questions

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12. Questions

1. Registration