Abstract
Modularity is a particularly powerful symmetry with many applications in theoretical physics and mathematics, in particular quantum field theory and string theory. Resurgence is a general framework for advanced asymptotics which effectively unifies perturbative and non-perturbative physics via an intricate network of algebraic relations known as Ecalle’s bridge equations. Modularity and resurgence overlap strongly in the goal of exploring non-perturbative completions of perturbative data, leading to profound new insights into the connection between weak coupling and strong coupling, and in the study of dualities, black holes and quantum gravity. The goal of this GGI Workshop is to bring together experts from these two frontier areas in theoretical and mathematical physics to foster further interaction between different scientific communities and to develop novel strategies to address truly significant problems.

Topics
Focus topics include:
- Modular graph forms and the low-energy expansion of string theory.
- Resurgence, duality and modularity in AdS/CFT.
- Automorphic forms and non-perturbative scattering amplitudes.
- Resurgence and (Mock)-modularity in 3d Chern-Simons theories.
- Exact results in localizable superconformal quantum field theories.
- Resurgence and modularity in black holes and quantum information.

The GGI environment is ideal for starting new collaborations, and learning new methods. A particular goal of the workshop is to attract outstanding junior scientists to this field. We plan a week-long introductory school at the beginning of the workshop, and a one-week conference later in the workshop. Junior scientists will be given priority in presenting their current work in informal “chalk talks” throughout the workshop.

Organizers
Daniele Dorigoni (Durham University) daniele.dorigoni@durham.ac.uk
Gerald Dunne (University of Connecticut) gerald.dunne@uconn.edu
Michael Green (DAMTP, Cambridge) mbg15@cam.ac.uk
Luca Griguolo (University of Parma) luca.griguolo@unipr.it
Sarah Harrison (Northeastern University) s.harrison@northeastern.edu
Yasuyuki Hatsuda (Rikkyo University, Japan) yhatsuda@rikkyo.ac.jp
Axel Kleinschmidt (Albert Einstein Institute, Potsdam) axel.kleinschmidt@aei.mpg.de
Sameer Murthy (King’s College London) sameer.murthy@kcl.ac.uk
Anne Taormina (Durham University) anne.taormina@durham.ac.uk


Local organizer
Li Gan (GGI)

Contact
daniele.dorigoni@durham.ac.uk

Related events
Resurgence and Modularity in QFT and String Theory (Training Week) - Apr 08, 2024

Resurgence and Modularity in QFT and String Theory (Conference) - May 06, 2024






Talks

Date	Speaker	Title	Type	Useful Links
Apr 15, 2024 - 14:30-15:30	Luigi Guerrini	BPS Wilson loops and mass deformations in ABJM	Seminar					Video
Apr 16, 2024 - 14:30-15:30	Kimyeong Lee	Strings in 6d SCFTs and Little String Theories	Seminar					Video
Apr 17, 2024 - 14:30-15:30	Arkady Tseytlin	Semiclassical supermembranes and AdS/CFT	Seminar					Video
Apr 18, 2024 - 14:30-15:30	Alberto Lerda	Exact Results in N=2 Conformal Theories	Seminar					Video
Apr 19, 2024 - 14:30-15:30	Jacopo Papalini	SEMINAR CANCELLED -- Towards the bulk dual of double-scaled SYK	Seminar
Apr 22, 2024 - 14:30-15:30	Lorenzo Russo	Examples of resurgence effects in JT gravity: Spectral Form Factor and Weyl-Petersson Volumes	Seminar
Apr 23, 2024 - 14:30-15:30	Rudolfs Treilis	Modular resurgence for integrated correlators at large N	Seminar
Apr 24, 2024 - 11:00-12:00	Zoltan Bajnok	The complete trans-series for energy densities in integrable models	Seminar
Apr 24, 2024 - 15:00-16:00	Alejandro Cabo-Bizet	The Schwarzian from gauge theories (NOTE DIFFERENT STARTING TIME!)	Seminar
Apr 26, 2024 - 14:30-15:30	Marco Billò	Localization for BPS Wilson loops in N=2, d=4 theories	Seminar
Apr 29, 2024 - 14:30-15:30	Masazumi Honda	Resurgence in Lorentzian quantum cosmology: no-boundary saddles and resummation of quantum gravity corrections around tunneling saddles	Seminar
Apr 30, 2024 - 11:00-12:00	Guglielmo Lockhart	TBA	Seminar
Apr 30, 2024 - 14:30-15:30	David Broadhurst	Resonant resurgence and quasi-modularity from QFT	Seminar	Abstract Resonant resurgence and quasi-modularity from QFT This talk concerns two studies of Feynman integrals in QFT. In a massless case, resurgence in a Dyson-Schwinger equation leads to a trans-series with resonances between instantons producing 6 Stokes constants. In a massive case, periods of modular forms result from quasi-modularity of Lambert series. This led to 20 ways of using complex multiplication to improve Ramanujan's evaluations of zeta values.
May 02, 2024 - 11:00-12:00	Martí Rosselló	TBA	Seminar
May 02, 2024 - 14:30-15:30	Jens Funke	TBA	Seminar
May 03, 2024 - 14:30-15:30	Alexander van Spaendonck	TBA	Seminar
May 13, 2024 - 14:30-15:30	Mehregan Doroudiani	TBA	Seminar
May 14, 2024 - 14:30-15:30	Federico Zerbini	TBA	Seminar
May 15, 2024 - 14:30-15:30	Francesco Galvagno	TBA	Seminar
May 16, 2024 - 11:00-12:00	Sergey Alexandrov	TBA	Seminar
May 16, 2024 - 14:30-15:40	Claudia Rella	TBA	Seminar
May 17, 2024 - 11:00-12:00	Paolo Gregori	TBA	Seminar