Beijing-Novosibirsk seminar on geometry and mathematical physics——Spaces with indefinite metrics and the spectral theory of singular Schrodinger operators
报告人：P.G. Grinevich (Steklov Mathematical Institute)
地点：Zoom会议（ID: 621 6323 5378 密码: 323416）（链接: https://cernet.zoom.com.cn/j/62163235378?pwd=djZxMVZ1VGNJYnUvY1VCeTMrUFhMQT09）
Abstract: The famous Korteweg- de Vries (KdV) equation admits important singular solutions, but only very special singularities are compatible with the KdV dynamics. We show, that for the Schrodinger operators from the KdV Lax pair with such special singularities the spectral theory can be naturally formulated in terms of pseudo-Hilbert spaces with indefinite metrics. IN particular, the number of negative squares in this metric provides a new conservation law for such solutions. The talk is based on joint works with S.P. Novikov.