TRIeste: Topological Recursion and Integrability

Europe/Paris
Trieste (IT)

Trieste (IT)

Univeristy of Trieste, Department of Mathematics, via Valerio 12/1, 34127 Trieste Institute for Geometry and Physics, via Beirut 2, 34151 Trieste SISSA, via Bonomea, 265, 34136 Trieste
Bertrand Eynard (IPHT CEA Saclay), Elba Garcia-Failde (Sorbonne Université), Alessandro Giacchetto (Institut de Physique Théorique), Paolo Gregori (IPhT), Danilo Lewanski (Università di Trieste)
Description

TRIeste: Topological Recursion and Integrability

11-16 September 2023

 

This school on Topological Recursion and Integrability is organized with the goal of introducing students and post-docs to the main tool and open questions in the area.

The main content of the summer school is provided by four series of lectures by the four invited speakers who are experts in these fields of research. Each series consists of 2 lectures (2 hours each) accompanied by 1 exercise sessions (2 hours). 

  • Introduction to integrable hierarchies: Lax representation and bi-Hamiltonian systems
    Guido Carlet, U Bourgogne
  • Fock space formalism and applications
    Séverin Charbonnier, U Geneve
  • Introduction to Riemann–Hilbert problems
    Giordano Cotti, U Lisboa
  • Introduction to topological recursion
    Bertrand Eynard, IPhT

The school will also feature research talks on various aspects of topological recursion and integrability.

  • Pavlo Gavrylenko, SISSA
    Isomonodromic deformations on a torus, Fredholm determinants, and their modular properties
  • Volumes of moduli spaces of super hyperbolic surfaces
    Paul Norbury, U Melbourne
  • Recursion relations for gauge theories with defects
    Alessandro Tanzini, SISSA
  • Integrable features of sine and Airy kernels at finite temperature
    Sofia Tarricone, IPhT

 


 

Registration and funds

The registration to the event is free but mandatory (deadline: May 30), follow the link in the menu. Limited funds are available for PhD students or young researchers to help covering local expenses.

 

Local accommodation

Participants are responsible for arranging their own accommodation. We can recommend for instance Hotel alla Posta, just in front of Piazza Oberdan. More generally, any accommodation in that area is close to the historical city center, the bus lines 17 and 17/ to the University, line 6 to ICTP, line 38 to SISSA.

 


 

Sponsors

This event is supported by the ERC-SyG ReNewQuantum, the SNSF Ambizione Project EnTIRe, and IGAP Trieste.

 

    • 08:45 09:00
      Registration 15m Morin room (University of Trieste)

      Morin room

      University of Trieste

    • 09:00 10:50
      Introduction to topological recursion 1 1h 50m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Bertrand Eynard
    • 10:50 11:10
      Coffee break 20m
    • 11:10 13:00
      Introduction to integrable hierarchies 1 1h 50m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Guido Carlet
    • 13:00 14:30
      Lunch 1h 30m
    • 14:30 15:25
      Introduction to topological recursion - Exercise session 1 55m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Bertrand Eynard
    • 15:25 16:20
      Volumes of moduli spaces of super hyperbolic surfaces 55m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Paul Norbury
    • 09:00 10:50
      Fock space formalism and applications 1 1h 50m Room 005 (SISSA)

      Room 005

      SISSA

      Orateur: Séverin Charbonnier
    • 10:50 11:10
      Coffee break 20m
    • 11:10 13:00
      Introduction to topological recursion 2 1h 50m Room 005 (SISSA)

      Room 005

      SISSA

      Orateur: Bertrand Eynard
    • 13:00 14:30
      Lunch 1h 30m
    • 14:30 15:25
      Introduction to integrable hierarchies - Exercise session 1 55m Room 005 (SISSA)

      Room 005

      SISSA

      Orateur: Guido Carlet
    • 15:25 16:20
      Recursion relations for gauge theories with defects 55m Room 005 (SISSA)

      Room 005

      SISSA

      Orateur: Alessandro Tanzini
    • 09:00 10:50
      Introduction to integrable hierarchies 2 1h 50m Budinich room (ICTP)

      Budinich room

      ICTP

      Orateur: Guido Carlet
    • 10:50 11:10
      Coffee break 20m
    • 11:10 12:05
      Fock space formalism and applications - Exercise session 1 55m Budinich room (ICTP)

      Budinich room

      ICTP

      Orateur: Séverin Charbonnier
    • 12:05 13:00
      Introduction to topological recursion - Exercise session 2 55m Budinich room (ICTP)

      Budinich room

      ICTP

      Orateur: Bertrand Eynard
    • 13:00 14:30
      Lunch 1h 30m
    • 09:00 10:50
      Riemann–Hilbert problems 1 1h 50m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Giordano Cotti
    • 10:50 11:10
      Coffee break 20m
    • 11:10 13:00
      Fock space formalism and applications 2 1h 50m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Séverin Charbonnier
    • 13:00 14:30
      Lunch 1h 30m
    • 14:30 15:25
      Riemann–Hilbert problems - Exercise session 1 55m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Giordano Cotti
    • 09:00 10:50
      Riemann–Hilbert problems 2 1h 50m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Giordano Cotti
    • 10:50 11:10
      Coffee break 20m
    • 11:10 12:05
      Fock space formalism and applications - Exercise session 2 55m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Séverin Charbonnier
    • 12:05 13:00
      Introduction to integrable hierarchies - Exercise session 2 55m Morin room (University of Trieste)

      Morin room

      University of Trieste

      Orateur: Guido Carlet
    • 13:00 14:30
      Lunch 1h 30m
    • 14:30 16:00
      Gong session 1h 30m Morin room (University of Trieste)

      Morin room

      University of Trieste

    • 09:30 10:25
      Riemann–Hilbert problems - Exercise session 2 55m 3A room (University of Trieste)

      3A room

      University of Trieste

      Orateur: Giordano Cotti
    • 10:25 10:50
      Coffee break 25m
    • 10:50 11:45
      Isomonodromic deformations on a torus, Fredholm determinants, and their modular properties 55m 3A room (University of Trieste)

      3A room

      University of Trieste

      Orateur: Pavlo Gavrylenko
    • 11:45 12:40
      Integrable features of sine and Airy kernels at finite temperature 55m 3A room (University of Trieste)

      3A room

      University of Trieste

      Orateur: Sofia Tarricone