Events

Topic: The application of Schauder's theorem to the problem of invariant subspaces of linear operators in a Banach space.

We start with defining a C*-algebra obtained as a closure of the set of infinite matrices such that each row and each column has at most a fixed number of nonzero elements.  Then we discuss its properties and consider how it embedds in the general picture of  Roe algebras of discrete metric spaces. Based on this example, we show, how to understand correctly Roe algebras for spaces without bounded geometry assumption.

Angelo Favini, Professor at University of Bologna, will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures оn degenerate differential equations.

The school is of great importance to all participants who does not only appreciate results from only their scientific research but desire the opportunity live and direct communication with teachers and scientists of RUDN and other organizations.

Topic: On the uniqueness of the continuation of a function to a positive defined one.

Hitoshi Ishii, Professor at Waseda University, will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures on partial differential equations.

Topic: On the spectral theory of quantum graphs.

Topic: Polyhedrons. Simplicial complex. Homology.

Title:  Localized and non-localized regimes with singular peaking for quasi-linear parabolic PDE   (continuation of the talk from March 19)

Topic: On the uniqueness of the continuation of a function to a positive defined one.

The report is devoted to dynamic market models with continuous time. Namely, we focus on the models for which the existence of equilibrium points is reduced to the resolvability of implicit differential equations: Evans model, Evans-Samuelson model, etc. Sufficient conditions for the existence of the equilibrium price function in such models are presented.

Topic: On the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions.

Topic: On the elliptic equations with semi-linear source term