中俄数学研究生讨论班——On commuting differential operators of rank 2 corresponding to trigonal spectral curves of genus 3
报告人：Matvey Ivlev (Novosibirsk State University)
时间：2026-03-06 15:30-16:30
地点：四元厅
Abstract: Construction of ordinary commuting differential operators is a classical problem of differential equations and integrable systems, which has applications to soliton theory. Operators of rank 1 in the case of smooth spectral curves were found by Krichever. The problem of constructing operators of rank l > 1 has not been solved in the general case. In all known examples of such operators, the spectral curves are hyperelliptic. In this report, the first examples of operators of rank 2 corresponding to trigonal spectral curves of genus 3 will be described.
