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Geometric and Analytic Theory of Hamiltonian Systems in Finite and Infinite Dimensions

Location: 
A-005
Schedule: 
Monday, January 18, 2016 - 14:00 to Thursday, January 21, 2016 - 12:30

   

Research Group: 
Geometry and Mathematical Physics
Research Group Internal Classification: 
Integrable systems
Additional Information: 

Program:

The program of the workshop and the list with titles and abstracts of the talks in pdf are avaiable here.

The social dinner will take place on Tuesday from 20:00 at Elefante Bianco in Riva 3 Novembre, 3 (map). For special requests, please contact gcotti@sissa.it

Monday 18

  • 14:00-14:45 Simonetta Abenda (Bologna): "Rational degenerations of M­-curves, totally positive Grass­mannians and KP­-solitons"
  • 14:50-15:35 Luigi Martina (Lecce): "Structure preserving discretizations of nonlinear PDEs and their numerical tests"
  • 15:35-16:00 Coffee break
  • 16:00-16:45 Raffaele Vitolo (Lecce): "On the geometry of third-­order homogeneous Hamiltonian operators"
  • 16:50-17:35 Boris Dubrovin (SISSA): "Integrable PDEs, tau-­functions, and topology of moduli spaces"
  • 17:45-18:45 Reception

Tuesday 19

  • 09:30-10:15 Taras Skrypnyk (Milano Bicocca): "Separation of variables in the Clebsch model"
  • 10:15-10:45 Coffee break
  • 10:45-11:30 Carlo Carminati (SNS): "Regularity and bifurcation phenomena in simple families of maps"
  • 11:35-12:05 Franco Cardin (Padova): "Weak KAM theory and applications"
  • Lunch Break
  • 14:00-14:45 Ugo Locatelli (Roma 2): "Exploring the feedback of asymmetric jets on the orbital motion in protostellar discs"
  • 14:50-15:35 Ian Jauslin (Roma 3): "A Pfaffian formula for monomer­-dimer partition function"
  • 15:35-16:00 Coffee break
  • 16:00-16:45 Rafael Greenblatt (Roma 3): "Singular behaviour of the Lyapunov exponent of a product of random 2 x 2 matrices"
  • 16:50-17:35 Giovanni Ortenzi (Milano Bicocca): "On Hamiltonian structures and conservation laws in strati­fied Euler fluids"

Wednesday 20

  • 09:30-10:15 Paolo Lorenzoni (Milano Bicocca): "F­-manifolds, multi­-flat structures and Painlevé transcen­dents"
  • 10:15-10:45 Coffee break
  • 10:45-11:30 Stefano Marmi (SNS): "Interval exchange map: a KAM theorem and regularity"
  • 11:35-12:05 Giuseppe Gaeta (Milano Statale): "Speed selection for coupled wave equations"
  • Lunch break
  • 14:00-14:45 Paolo Maria Santini (Roma 1): "Dispersionless PDEs in multidimensional, and .. all that"
  • 14:50-15:20 Clara Nucci (Perugia): "Quantising with Noether symmetries; linearity and superin­tegrability; unusual Lagrangian systems: an overview"
  • 15:25-15:45 Giorgio Gubbiotti (Roma 3): "Nonlinear lattice equations: a non­-autonomous generalisa­tion of the Q_V equation"
  • 15:45-16:00 Coffee break
  • 16:15-16:45 Francesco Fassò (Padova): "Symmetries and integrability in nonholonomic me­chanics"
  • 16:50-17:20 Livio Pizzocchero (Milano Statale): "Results in two different areas: strong solutions of Navier-Stokes equations and quantum vacuum effects"
  • 17:25-17:55 Andrea Carati (Milano Statale): "Perturbation theory for infinite-dimensional systems: an ergodic approach"

Thursday 21

  • 09:30-10:15 Alessandro Pizzo (Roma 2): "The construction of the ground state of the Hamil­tonian of an interacting Bose gas in the mean field limit"
  • 10:15-10:45 Coffee break
  • 10:45-11:30 Tamara Grava (SISSA): "Semiclassical limit of focusing NLS, Painlevé­-I equation and rational breathers"
  • 11:35-12:05 Antonio Ponno (Padova): "Hydrodynamics of the Fermi ­ - Pasta - ­ Ulam problem"

Participants:

  • Raffaele Vitolo (Lecce)
  • Luigi Martina (Lecce)
  • Paolo Lorenzoni (Milano Bicocca)
  • Giovanni Ortenzi (Milano Bicocca)
  • Livio Pizzocchero (Milano Statale)
  • Andrea Carati (Milano Statale)
  • Giuseppe Gaeta (Milano Statale)
  • Francesco Fassò (Padova)
  • Franco Cardin (Padova)
  • Antonio Ponno (Padova)
  • Carlo Carminati (Pisa)
  • Stefano Marmi (Pisa)
  • Ugo Locatelli (Roma 2)
  • Alessandro Pizzo (Roma 2)
  • Rafael Greenblatt (Roma 3)
  • Ian Jauslin (Roma 3)
  • Giorgio Gubbiotti (Roma 3)
  • Danilo Latini (Roma 3)
  • Danilo Riglioni (Roma 3)
  • Clara Nucci (Perugia)
  • Paolo Santini (Roma 1)
  • Davide Guzzetti (SISSA)
  • Tamara Grava (SISSA)
  • Boris Dubrovin (SISSA)
  • Giordano Cotti (SISSA)
  • Gregorio Falqui (Milano Bicocca)
  • Franco Magri (Milano Bicocca)
  • Orlando Ragnisco (Roma 3)
  • Taras Skrypnyk (Milano Bicocca)
  • Giancarlo Benettin (Padova)
  • Guido Gentile (Roma 3)
  • Simonetta Abenda (Bologna)
  • Giorgio Tondo (Trieste)
  • Tiziano Penati (Milano Statale)
  • Alberto Maiocchi (Milano Statale)

 

Organizers:

Boris Dubrovin (SISSA)

Giordano Cotti (SISSA)

Giulio Ruzza (SISSA)

How to reach SISSA:

https://www.sissa.it/how-reach-us

 

Contact:

send a mail to gcotti@sissa.it, giulio.ruzza@sissa.it

 

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