Journée Résurgence

Liste des Contributions

1. A leisurely walk through the resurgence landscape

Jean Écalle (CNRS, emeritus)

07/05/2025 09:15

I shall attempt a broad brush, rather personal survey of resurgence (a theory now in its prime: it just turned 50 this year!) with special emphasis on
(i) the algebraic aspect, which all too often gets short shrift
(ii) questions of typology: sources of resurgence; patterns of resurgence; the ad
hoc toolkit
(iii) some signal successes of the theory
(iv) and lastly, for good measure, three...

2. The resurgent structure of topological strings

Marcos Mariño (UniGe)

07/05/2025 10:30

In recent years, the ideas of resurgence have been applied to many theories arising in physics. Perhaps the clearest success story has been topological string theory. The so-called free energy of topological strings on a Calabi-Yau threefold is given by a factorially divergent series, and there is by now a partially conjectural but complete description of its full set of Borel singularities,...

3. Small-N expansion in the O(N) model: constructive field theory and transseries

Dario Benedetti (CPHT, École Polytechnique)

07/05/2025 12:00

Transseries are an improved version of asymptotic series that include both perturbative and nonperturbative contributions to a given problem. They play an important role in the theory of resurgence, that was developed by Jean Ecalle in the context of dynamical systems. It has been conjectured that also perturbative series in quantum field theory (QFT) can be upgraded to resurgent transseries,...

4. Resurgence in quantum mechanics

Maxim Kontsevich (IHÉS)

07/05/2025 14:45

Classical mechanics in first-order formalism, is determined by a Hamiltonian (possibly time-dependent) and two boundary conditions at the ends of the time interval, i.e. two Lagrangian subvarieties. I will describe certain data which fixes ambiguities in the formal perturbation theory of the corresponding path integral near complex classical trajectories. Also, I propose a conjecture...

5. Resurgent QCD

Stanislav Srednyak (Duke University)

07/05/2025 16:30

QCD is a highly successful theory that underlies most of collider physics and describes a wide range of phenomena. Despite this success, a few foundational issues remain open. These issues include first principle computation of such properties of bound states as masses and parton distributions. Mathematically it is the next logical step compared to TQFT as it is explicitly sensitive to metric....