### Training Week

#### Resurgence and Modularity in QFT and String Theory

**Apr 08, 2024 - Apr 12, 2024**

**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**

Training Week topics include:

- An introduction to resurgence theory. Ines Aniceto (Southampton)

- Exact methods in supersymmetric theories. Giulio Bonelli (SISSA)

- Modular Forms and String theory. Oliver Schlotterer (Uppsala)

- (Mock) Modularity in String Theory and Moonshine. Roberto Volpato (Padova)

**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

**Main event**

Resurgence and Modularity in QFT and String Theory (Workshop) - Apr 08, 2024

**Talks**

Date | Speaker | Title | Type | Useful Links | ||||
---|---|---|---|---|---|---|---|---|

Apr 08, 2024 - 09:00-10:00 | Registration | Introduction | ||||||

Apr 08, 2024 - 10:00-11:30 | Ines Aniceto (Southampton) |
An introduction to resurgence theory | Lecture | Video | ||||

Apr 08, 2024 - 11:30-12:30 | Discussion | Discussion | ||||||

Apr 08, 2024 - 14:00-15:30 | Oliver Schlotterer |
Modular Forms and String theory | Lecture | Video | ||||

Apr 08, 2024 - 15:30-16:00 | Discussion | Discussion | ||||||

Apr 08, 2024 - 16:00-17:30 | Giulio Bonelli |
Exact methods in supersymmetric theories | Lecture | Video | ||||

Apr 08, 2024 - 17:30-18:00 | Discussion | Discussion | ||||||

Apr 09, 2024 - 10:00-11:30 | Roberto Volpato |
(Mock) Modularity in String Theory and Moonshine. | Lecture | Video | ||||

Apr 09, 2024 - 11:30-12:30 | Discussion | Discussion | ||||||

Apr 09, 2024 - 14:00-15:30 | Ines Aniceto |
An introduction to resurgence theory - Lecture II | Lecture | Video | ||||

Apr 09, 2024 - 15:30-16:00 | Discussion | Discussion | ||||||

Apr 09, 2024 - 16:00-17:30 | Oliver Schlotterer |
Modular Forms and String theory - Lecture II | Lecture | Video | ||||

Apr 10, 2024 - 09:30-11:00 | Roberto Volpato (Mock) |
Modularity in String Theory and Moonshine - Lecture II | Lecture | Video | ||||

Apr 10, 2024 - 11:00-12:30 | Ines Aniceto |
An introduction to resurgence theory - Lecture III | Lecture | Video | ||||

Apr 10, 2024 - 14:00-15:30 | Oliver Schlotterer |
Modular Forms and String theory - Lecture III | Lecture | Video | ||||

Apr 10, 2024 - 15:30-16:00 | Discussion | Discussion | ||||||

Apr 10, 2024 - 16:00-17:30 | Giulio Bonelli |
Exact methods in supersymmetric theories - Lecture II | Lecture | Video | ||||

Apr 11, 2024 - 10:00-11:30 | Roberto Volpato |
(Mock) Modularity in String Theory and Moonshine - Lecture III | Lecture | Video | ||||

Apr 11, 2024 - 11:30-12:00 | Discussion | Discussion | ||||||

Apr 11, 2024 - 14:00-15:30 | Ines Aniceto |
An introduction to resurgence theory - Lecture IV | Lecture | Video | ||||

Apr 11, 2024 - 15:30-16:00 | Discussion | Discussion | ||||||

Apr 11, 2024 - 16:00-17:30 | Giulio Bonelli |
Exact methods in supersymmetric theories - Lecture III | Lecture | Video | ||||

Apr 11, 2024 - 17:30-18:00 | Discussion | Discussion | ||||||

Apr 12, 2024 - 10:00-11:30 | Roberto Volpato |
(Mock) Modularity in String Theory and Moonshine - Lecture IV | Lecture | Video | ||||

Apr 12, 2024 - 11:30-12:30 | Discussion | Discussion | ||||||

Apr 12, 2024 - 14:00-15:30 | Oliver Schlotterer |
Modular Forms and String theory - Lecture IV | Lecture | Video | ||||

Apr 12, 2024 - 16:00-17:30 | Giulio Bonelli |
Exact methods in supersymmetric theories - Lecture IV | Lecture | Video |