Abstract
Quantum field theory is not only the unifying language of fundamental forces, but also an extremely rich source of surprising non-perturbative dualities. This success in predicting unexpected new links among seemingly distant subjects has accelerated on many fronts over the past few years, thanks to applications of modern developments in “quantum” mathematics to quantum field theories with supersymmetric, integrable, conformal, topological, or holomorphic structures. The insights emerging from these developments have been the source of important novel results across various branches of theoretical physics and mathematics, hinting at further new connections awaiting discovery. The common ground to all these recent developments is the richness of the physics and mathematics underlying the dynamics of protected (BPS) sectors, whose study ties together fundamental questions in diverse fields in original ways. This workshop aims to highlight and discuss the impact of key developments, to forge new synergies, and to grasp together the hints of far-reaching new opportunities. The 5-week program includes an initial school and a final conference, while the middle research weeks will host daily seminars and mini-courses.

Topics
▪ BPS Algebras, Quivers, Cohomological Hall Algebras, Yangians
▪ Knots, Chern-Simons, Quantum Modularity, log-CFT
▪ Donaldson-Thomas Invariants, Topological Strings, WKB, Resurgence


Organizers
▪ Cyril Closset (Birmingham University)
▪ Pietro Longhi (Uppsala University)
▪ Fabrizio Nieri (Turin University)
▪ Domenico Seminara (Florence University)
▪ Katrin Wendland (Trinity College Dublin)
▪ Masahito Yamazaki (IPMU)


Local organizer
Li Gan (GGI), Tiziano Schiavone (GGI)

Contact
fabrizio.nieri@unito.it
pietro.longhi@physics.uu.se

Related events
BPS Dynamics and Quantum Mathematics (Training Week) - May 20, 2024

BPS Dynamics and Quantum Mathematics (Conference) - Jun 17, 2024






Talks

Date	Speaker	Title	Type	Useful Links
May 27, 2024 - 11:00-12:00	Fabrizio Del Monte	Exactly Solvable Five-Dimensional BPS Spectra and Discrete Integrable Systems	Talk					Video
May 28, 2024 - 11:00-12:00	Taro Kimura	Gauge Origami and Quiver W-algebras	Talk					Video
May 28, 2024 - 14:30-15:30	Mykola Dedushenko	Twisted Reductions of 4d SCFT, 3d TQFT and Vertex Algebras	Talk					Video
May 29, 2024 - 11:00-12:00	Jan Manschot	Path Integral Derivations of K-Theoretic Donaldson Invariants	Talk					Video
May 30, 2024 - 11:00-12:00	Elias Furrer	One-Form Symmetries and the 3d N=2 A-model	Talk					Video
May 30, 2024 - 14:30-15:30	Cristina Manolache	Reduced Gromov-Witten Invariants	Talk					Video
May 31, 2024 - 11:00-12:00	Rodolfo Panerai	Localization and Resummation in 2d Yang-Mills Theory	Talk					Video
Jun 03, 2024 - 11:00-12:00	Du Pei	Topological Modular Forms and Phases of Quantum Field Theories	Talk					Video
Jun 04, 2024 - 11:00-12:00	Andrea Brini	Constructive Refined Topological Strings	Talk					Video
Jun 04, 2024 - 14:30-15:30	Sunghyuk Park	Abelianization of Skein Modules	Talk					Video
Jun 05, 2024 - 11:00-12:00	Tudor Dimofte	The Structure of BPS Lines in 3d N=2: Categories with OPE's, Vertex Hopf Algebras, and Shifted R-Matrices	Talk					Video
Jun 06, 2024 - 11:00-12:00	Luca Cassia	Equivariant Quantum Volumes and Symplectic Cuts 1	Talk					Video
Jun 06, 2024 - 14:30-15:30	Maxim Zabzine	Equivariant Quantum Volumes and Symplectic Cuts 2	Talk					Video
Jun 07, 2024 - 11:00-12:00	Francesco Bonechi	Equivariant Yang Mills Theory	Talk					Video
Jun 10, 2024 - 11:00-12:00	Yehao Zhou	Feynman’s Construction of Commuting Higher Hamiltonians of Calogero Models From a Modern Perspective	Talk					Video
Jun 11, 2024 - 11:00-12:00	Rouven Frassek	Oscillator-Type Solutions to the Yang-Baxter Equation	Talk					Video
Jun 12, 2024 - 11:00-12:00	Arash Ardehali	High-Temperature Expansion of the Schur Index and Compactification to Three Dimensions	Talk
Jun 13, 2024 - 11:00-12:00	Davide Fioravanti	Exploring Gauge Theories and BHs with Floquet and Painlevé	Talk					Video
Jun 14, 2024 - 11:00-12:00	Francesco Sala	From AGT Conjecture to Cohomological Hall Algebras	Talk					Video