Events

In 1998, Goresky, Kottwitz, MacPherson introduced a class of $(S^1)^k$-actions on smooth manifolds with degenerate odd-dimensional cohomologies. They calculated the corresponding ring of equivariant cohomologies in terms of so-called GKM-graphs. Roughly speaking, a GKM-graph of type $(n,k)$ is an $n$-valent graph with labels from the lattice $\Z^k$ on its edges.

Nature as well as our body could not avoid redox processes. We gave to nature a head start of 400 million years. During this time nature created a lot of unique unbelievably effective processes including the reductive ones.

The present study was focused on understanding the binding interaction mechanism of a newly synthesized 1-imino-1,2-dihydropyrazino[1,2-a]indol-3(4H)-one(PI) compound in bovine serum albumin(BSA)using fluorescence spectroscopy and molecular modeling techniques.

This talk will contain a review of some approaches and results of W. Chen, R. Yang, and their collaborators concerning nonexistence of solutions for a nonlinear Dirichlet problem with a fractional power of the Laplace operator in a half-space that belong certain functional classes depending on the growth order of the nonlinear term.

By the method of weighted metrics, in various cones of the space of continuous functions on the positive semiaxis, we study integro-differential equations of Volterra type of various orders with difference kernels and power nonlinearity.

The contraction mechanics of cardiac muscle, the stresses and strains developed, are closely related to the processes of muscle electrical activation.

The authors will discuss nonexistence results they obtained in the recent years for some nonlinear partial differential equations and inequalities containing fractional powers of the Laplace operator.

The talk is devoted to the operator-theoretic (spectral) approach to homogenization suggested by M. Birman and T. Suslina.

The electrosynthesis of cyano acetate derivatives by acetonitrile reduction is a green and safe strategy to replace the traditional cyanation. Herein, we have obtained the cyano acetate derivatives in good yields by a simple electrolysis of aldehyde and acetyl chloride in acetonitrile in an undivided cell with carbon cathode and magnesium anode.

Derivatives based on boron-dipyrromethenes (BODIPY) possess original photonic and electronic properties, as well as unique characteristics, including easy functionalization and simple synthetic modification. In the past few decades, research in the field of BODIPY has been devoted to the development of materials based on modified BODIPYs with a wide range of applications in the field of both optical electronics and biomedicine.

The authors will discuss nonexistence results they obtained in the recent years for some nonlinear partial differential equations and inequalities containing fractional powers of the Laplace operator.

In the talk we consider traces of Fourier integral operators (V.P. ​​Maslov, L. Hörmander). More precisely, we study the situation when the trace of the Fourier integral operator on the submanifold is again the Fourier integral operator. The results obtained are used to study the Fredholm solvability of some Sobolev problems with nonlocal boundary conditions.