报告题目：Solitons in Noncommutative Spaces

报告人： Masashi Hamanaka 教授

工作单位： 日本名古屋大学

报告时间：5月15日（周三）10:00-11:00

地点：实训楼1710

报告摘要：
Integrable systems and soliton theories in noncommutative (NC) spaces have been discussed intensively for the last twenty years. There are three good aspects of the NC theory:  (i) resolutions of singularity, (ii) description of gauge theory in the background magnetic fields, and (iii) easier treatment than commutative ones. The aspect (i) gives rise to new physical objects special to NC space, such as U(1) instantons. The aspects (ii) and (iii) lead to various successful applications to physics. Some aspects of (iii) are due to the fact that quasideterminants make proofs simpler in the construction of exact solutions.
In this talk, we would make an introductory discussion on soliton/instanton(perhaps monopole) solutions, conservation laws, soliton scatterings etc. in noncommutative spaces, focusing on NC KdV, KP and ASDYM equations, in order to understand the merits of NC theories.