Lunes 5 de junio 2023. La sesión será a las 12:00 hrs. en la sala de Seminarios del 5° piso Departamento de Ingeniería Matemática.

Speaker: Marcela Cárdenas (UNAB)
Título: Integrable Geometries in AdS_{3}

Abstract: In this talk we discuss the geometrization of 1+1 integrable systems included in the AKNS integrable system, which contains the Korteweg de-Vries (KDV), modified KDV, sine-Gordon and non-linear Schrödinger equations. This is possible through the construction of a broad class of asymptotic conditions for the gravitational field in three dimensions, reproducing the properties of the AKNS dynamics. We study the consistency, asymptotic symmetry algebra and integrability properties of these novel boundary conditions.