icm22sat
| OVERVIEW | PROGRAM | TITLES & ABSTRACTS | REGISTRATION | PARTICIPANTS | LOCAL |

Integrable systems played an extremely important role in mathematical physics over the last 50 years. Their physical applications include gauge theories and conformal eld theories, as well as statistical models. Mathematically, this area has deep connections with complex and algebraic geometry, geometry of complex 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 dierential Painleve 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 dierential Painleve equations and Conformal Blocks, as well as its generalization to q-Painleve 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 scientic discussions


Organizing and Program Committee

  • Mikhail Bershtein (Landau Inst., Skoltech, HSE Univ., IITP; Moscow)
  • Anton Dzhamay (Univ. of Northern Colorado)
  • Pavlo Gavrylenko (Skoltech, HSE Univ., Moscow)
  • Igor Krichever (Skoltech, HSE Univ., ITEP, IITP, Moscow, and Columbia Univ., New York)
  • Andrei Marshakov (Skoltech, HSE Univ., ITEP, Lebedev Inst., Moscow)

Invited Keynote Speakers

  • Marco Bertola (Concordia Univ., and SISSA, Trieste)
  • * Alexander Bobenko (Inst. of Mathematics, Technical Univ. of Berlin)
  • Alexei Borodin (Massachusetts Institute of Technology)
  • Thomas Bothner (King’s College London)
  • Mattia Cafasso (Univ. of Angers)
  • Philippe Di Francesco (Univ. of Illinois at Urbana-Champaign)
  • Vladimir Fock (Univ. of Strasbourg)
  • Alba Grassi (ETH Zurich)
  • Alexander Goncharov (Yale Univ.)
  • Rod Halburd (Univ. College London)
  • Rei Inoue (Chiba Univ.)
  • Alexander Its (Indiana Univ.-Purdue Univ.)
  • * Richard Kenyon (Yale Univ.)
  • Alisa Knizel (Columbia Univ.)
  • Nikita Nekrasov (Simons Center for Geometry and Physics, Stony Brook)
  • Masatoshi Noumi (Kobe Univ.)
  • Eric Rains (Caltech Univ.)
  • Leon Takhtajan (Stony Brook Univ.)
  • Craig Tracy (Univ. of California, Davis)
  • Yasuhiko Yamada (Kobe Univ)
  • Peter Zograf (Steklov Inst., St.Petersburg)

* = to be conrmed

Conference Participants

We expect about 40 participants for this conference. In addition to the keynote talks, we plan to have shorter talks, primarily by younger mathematicians

Support

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: