International Congress Of Mathematicians Satellite Conference "Integrable Systems And Geometry Of Moduli Spaces"

18 - 22 Jul 2021Add To Calendar
Yaroslavl, Russia
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Center of Integrable Systems (CIS) at the Yaroslavl State University (YarSU) andLaboratory of Algebraic Geometry (LAG) at the National Research University Higher School of Economics, Moscow (NRU HSE)will organize the INTERNATIONAL CONGRESS of MATHEMATICIANS 2022 SATELLITE CONFERENCE ”INTEGRABLE SYSTEMS AND GEOMETRY OF MODULI SPACES”Mathematical physics and in particular the theory of integrable systems have always been the area of important applications and a source of new useful concepts .. continue reading in algebraic geometry. In the 19th century problems of separation of variables in the geodesic problem on ellipsoid led to the Jacobi inversion problem for Abel maps, Jacobi varieties and motivated further development of the theory of abelian functions. The creation of the soliton theory in 1960s reinvigorated the link between two disciplines, which still continues to flourish and includes the modern theory of moduli spaces. The Hitchin integrable systems on the moduli spaces of stable vector bundles, Calogero-Moser spaces, Gromov-Witten invariants, topological recursion, Frobenius manifolds, cohomological field theory and their relations with integrable hierarchies are just a few manifestations of the important modern developments at the crossroad between algebraic geometry and integrable systems.The conference aims at assessing the state of the art on various aspects of integrable systems, the geometry of moduli spaces and defining directions for future developments. We aim at gathering people with complementary expertise from the both sides of the interface. This could lead to new fruitful collaborations and further development of algebraic geometry and the theory of integrable systems.


09:00 AM-06:00 PM (expected)
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Yaroslavl State University

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