Igor Krichever Center for Advanced Studies
Seminar on Mondays at 17.00
(30 Bolshoy Boulevard, space E-B1-2016) [ + zoom ]
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December 23, 2024 / Mikhail Bershtein ( Univ. of Edinburgh, Skoltech) = = Toda systems and cluster algebras revisited |
January 27, 2025
Anton Dzamay (BIMSA)
Discrete Painlevé equations from geometric deautonomization of QRT maps
In this talk we consider some examples of discrete Painlev´e equations that can be obtained from a given QRT map using the technique of geometric deautonomization. One common interesting feature of such equations is that they often correspond to quasi-translations, or the elements of infinite order in the corresponding affine Weyl group whose certain power is a translation. Such elements often become translations if one considers a smaller affine Weyl subgroup, the phenomena that is known as the projective reduction. We explain how one can obtain such subgroups