The Seminar has been held weekly at MISANU since 2001.

The main goal of the Seminar is to set up a meeting point at which scientists working in different areas of geometry and related topics, exchange their views and discuss their problems, by sharing their experience and their ideas.

The lectures given at the Seminar cover numerous topics including smooth manifolds and sub-manifolds endowed with different structures, their geometry and applications to the general theory of relativity and cosmology, geometry and topology of fibre bundles, symmetric and homogeneous spaces, curvature invariants, affine differential geometry, Lie groups and algebras and their actions, quantum groups, applications of p-adic, adelic methods in mathematical physics, biology and other complex systems, knot theory, various aspects of visual geometry, software and their use in education and research, improvement of education and teaching of mathematics, especially geometry.