This conference is a Satellite Conference for the International Congress of Mathematicians ICM-2022 that will be held July 6–14 in Saint Petersburg, Russia.
This Congress is one of the oldest and most significant worldwide meetings of mathematicians.
We recommend exploring the ICM Program, as well as many of its Satellite Conferences
Official ICM2022 web-site – icm2022.org/
Integrable systems played an extremely important role in mathematical physics over the last 50 years. Their physical applications include gauge theories and conformal field theories, as well as statistical models. Mathematically, this area has deep connections with complex and algebraic geometry, geometry of algebraic curves and various types of moduli problems. Among the key tools of the modern theory of integrable system is the notion of a Lax Pair representation or, equivalently, of an isospectral deformation of some linear problem – the associated spectral curve then encodes the integrals of motion of the system. The non-autonomous analogue of this representation is the notion of an isomonodromic deformation. Classical theory of isomonodromic deformations goes back over a hundred years to the works of Fuchs and Schlesinger. It was revived in mid-1980s by the Japanese school, and at present it is yet again attracting a lot of attention. Classical connections between isomonodromic deformations and differential Painlevé equations have been generalized to the discrete case. There are deep connections of this area to new exciting mathematical objects such as Integrable Probability, Cluster Varieties and Dimer Models, as well as the relations between tau-functions of differential Painlevé equations and Conformal Blocks, and its generalization to q-Painlevé equations. And the list goes on. We plan to bring together leading researchers actively working in this rather broad area, as well as early career mathematicians and graduate students, for talks and scientific discussions
Organizing and Program Committee
Invited Keynote Speakers
We expect about 40 participants for this conference. In addition to the keynote talks, we plan to have shorter talks, primarily by younger mathematicians
We expect to have 10 competitive travel grants for early career researchers, women and other underrepresented categories of mathematicians. Further, if we end up spending less money to support the keynote speakers, the additional amount would be allocated towards increasing the number of such grants
Contact email of the Organizing Committee: