19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Integrable birational maps
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date:
22 Jun 15:00 - 16:00
Timetable | Contribution List
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Session:
Integrable birational maps
When completely integrable Hamiltonian systems are discretised, the resulting discrete-time systems are often no longer integrable themselves. This is the so-called "problem of integrable discretisation". Two known exceptions to this situation in 3D are the Kahan discretisations of the Euler top and the Zhukovski-Volterra gyrostat with one non-zero linear parameter $\beta$, both of degree 3. The i
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Presented by Dr. Jaume ALONSO
on
22/06/2023
at
13:30
Session:
Integrable birational maps
Motivated by the study of the Kahan--Hirota--Kimura discretisation of the Euler top, we characterise the growth and integrability properties of a collection of elements in the Cremona group of a complex projective 3-space using techniques from algebraic geometry. This collection consists of maps obtained by composing the standard Cremona transformation in three dimensions with projectivities that
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Presented by Dr. Giorgio GUBBIOTTI
on
22/06/2023
at
13:00