APIOS Talk 26 November 2020

Speaker Prof. Changzheng Qu Ningbo University Title Integrable Systems and Invariant Geometric Flows in affine-related Geometries Abstract Invariant geometric flows in certain geometries have been studied extensively from different points of view. In this talk, we are mainly concerned with invariant geometric flows in centro-affine, centro-equiaffine and affine geometries etc. First, we show that the […]

APIOS Talk 10 November 2020

Speaker Prof. Artur Sergyeyev Silesian University in Opava Title Integrable (3+1)-dimensional systems from contact geometry Abstract We present a large new class of (3+1)-dimensional integrable systems using a novel kind of Lax pairs related to contact geometry, thus showing inter alia that there is significantly more of such systems than it appeared before. In particular, […]

APIOS Talk 29 October 2020

Speaker Dr. Vera Roshchina University of New South Wales Title Faces of convex sets: dimensions and regularity Abstract The facial structure of convex sets can be surprisingly complex, and unexpected irregularities of the arrangements of faces give rise to badly behaved sets. I will focus on specific properties of facial structure that capture irregularities (dimensions […]