Workshop


20 May, 2024 - 21 Jun, 2024

BPS Dynamics and Quantum Mathematics

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 organizers

Li Gan (GGI), Tiziano Schiavone (GGI)

Contact

fabrizio.nieri@unito.it

Website:

Related events
Poster session

The participants who would like to present a poster are kindly invited to send an email with the title and a short abstract to alice.bernamonti@unifuit before May 22, specifying for which week of the workshop. Since a limited number of panels is available, the organizers will select the posters shortly after the deadline.

week 3

Monday Tuesday Wednesday Thursday Friday
11:30 - 12:30 Tomasevic Newenfeld Collin-Ellerin Caceres
13:00 - 14:30 lunch lunch lunch lunch lunch
14:30 - 15:30 Sorce Emparan
  • Elena Caceres: 'On Sparse SYK, wormholes, and chaos"
  • Sean Colin-Ellerin: "Bootstrapping wuantum extremal surfaces
  • Roberto Emparan: "Black tsunamis and naked singularities in AdS'
  • Dominik Neuenfeld: "Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates"
  • Jonathan Sorce: "Bulk causality from boundary entanglement: the connected wedge theorem revisited"
  • Marija Tomasevic: 'ds through holography

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