On the cohomology of spatial polygons in Euclidean spaces

We compute the cohomology of polygon spaces using their identification to (semi) stable configuration of weighted points on complex projective line. This cohomology is already given by J.C.Hausmann and A. Knutson but we use a different approach. We also give a condition for being Fano

Online or university education

The meaning is clear: The Student is submitting to the will of the higher authority, for the sake of making more money. Will that behavior also just as easily transfer to the political will of higher authority, to induce the Students to unthinkingly repeat the painful atrocities of the past, because they were not taught them?Higher education, online education, power, history, didactics.

ALPAMYSH: Central Asian Identity under Russian Rule

Various disciplines and area studies might benefit from this investigation, aside from the obvious Central Asian and Soviet studies. The artificial separation of "areas" and disciplines, that have not existed during the evolution of the subject matter, cannot yield complete understanding. Given the restrictions imposed by the Soviet censorship and bureaucracies who control collections of materials and published works, documentation is not exhaustive. It is anticipated that subsequent research shall unearth additional information. Therefore, the temptation to hold back and wait for such new discoveries is immense

Mirror Principle for Flag Manifolds

In this paper, using mirror principle developped by Lian, Liu and Yau [8, 9, 10, 11, 12, 13] we obtained the A and B series for the equivariant tangent bundles over homogenous spaces using Chern polynomial. This is necessary to obtain related cohomology valued series for given arbitrary vector bundle and multiplicative characteristic class. Moreover, this can be used as a valuable testing ground for the theories which associates quantum cohomologies and J functions of non-abelian quotient to abelian quotients via quantizatio

CURVATURE: A geometric villain that ruins our instinctive perception of nature

Our perception of nature is based on evolutionary wiring of our brain and observations we make via our senses. But, in reality, many scientific and technological advancements are based on non-intuitive rules and principles that can only be explained by the ultimate abstraction that is embedded in mathematics. In this talk, I will discuss the concept of curvature and argue how it explains the “unexplainable”. We will see how the curvature proves that the earth is rotating, how good the soap bubbles are at proving profound mathematical results, and if the two dimensional residents can determine the shape of their world . Get ready to see some interesting applications of the curvature in engineering, medical sciences and even architecture

Tensor Eigenvalue Problems and Modern Medical Imaging

Tensors (or hypermatrices) are multidimensional generalization of matrices. Although historically they are studied from the perspective of combinatorics and (hyper)graph theory, recent progress in the subject shows how useful they are in more applied sciences such as physics and medicine. In this presentation, I introduce a few tensor eigenvalue problems and their application to higher order diffusion tensor imaging such as diffusion-weighted magnetic resonance imaging (DW-MRI) and higher angular resolution diffusion imaging (HARDI)