Algebraic Geometry, Mathematical
Physics, and Solitons


A conference on connections between and applications of
integrable systems in algebra, geometry, and physics

Celebrating the work of Igor Krichever

Columbia University, October 7—9, 2022

Introduction

Integrable systems are a broadly and loosely defined field of mathematics, with origins in physics, where they were used to describe and understand the various integrals of motion (invariants of a system) in classical mechanics. The ideas of integrability have permeated many modern advances in mathematics: in algebraic geometry, mathematical physics, statistical mechanics, etc. For example, integrable systems have played a fundamental role in developing many of the ideas in modern algebraic geometry around the study of Riemann surfaces and their moduli; discrete integrability has been fundamental in the study of random processes such as SLE; and solitons are a phenomenon arising in many geometric and physical situations.

Many mathematicians with a deep expertise in integrable systems focus primarily on questions in other areas of mathematics, and are well integrated in those research communities. The aim of the conference is to bring together a broad range of mathematicians with interests and motivation rooted in integrability, but working in many mathematical disciplines such as geometry, algebra, and mathematical physics. The planned conference will also serve to celebrate the lifelong contributions of Igor Krichever, one of the masters of integrability.

Speakers

  • Enrico Arbarello (Accademia Nazionale dei Lincei, Rome, Italy)
  • Alexei Borodin (Massachusetts Institute of Technology, Cambridge, MI, USA)
  • Ivan Cherednik (University of North Carolina, Chapel Hill, NC, USA)
  • Pavel Etingof (Massachusetts Institute of Technology, Cambridge, MI, USA)
  • Tamara Grava (University of Bristol, Bristol, UK and SISSA, Trieste, Italy)
  • Alexander Its (Indiana University-Purdue University, Indianapolis, IL, USA)
  • Alisa Knizel (University of Chicago, Chicago, IL, USA)
  • Nikita Nekrasov (Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY, USA)
  • Andrei Okounkov (Columbia University, New York, NY, USA)
  • Duong Phong (Columbia University, New York, NY, USA)
  • Leon Takhtajan (Stony Brook University, Stony Brook, NY, USA)
  • Alexander Varchenko (University of North Carolina, Chapel Hill, NC, USA)
  • Alexander Veselov (Loughborough University, Loughborough, UK)
  • Paul Wiegmann (University of Chicago, Chicago, IL, USA)
  • Dmitry Zakharov (Central Michigan University, Mount Pleasan, MI, USA)

Organizing Committee

  • Anton Dzhamay (The University of Northern Colorado, Greeley, CO, USA)
  • Robert Friedman (Columbia University, New York, NY, USA)
  • Samuel Grushevsky (Stony Brook University, Stony Brook, NY, USA)
  • Andrei Okounkov (Columbia University, New York, NY, USA)

Conference Poster

Conference poster can be downloaded here: poster.pdf

Support

The conference is supported by Columbia University Mathematics Department  and the National Science Foundation.

CU Math Dept logo NSF logo