相关论文: Recent developments of the DDVV Conjecture

Selected theoretical developments in neutrino-nucleus scattering in 2015-2016 are reviewed.

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

We announce numerous new results in the theory of orthogonal polynomials on the unit circle.

We give some results and conjectures about recurrence relations for certain sequences of binomial sums.

In a recent paper published in the Philosophical Magazine [Z.-D. Zhang, Phil. Mag. 87, 5309-5419 (2007), arXiv:0705.1045], the author advances a conjectured solution for various properties of the three-dimensional Ising model. Here we…

This article is a collected information from some books and papers, and in most cases the original sentences is reserved about twin prime conjecture.

We prove the Invariant Subspace Conjecture for separable Hilbert spaces.

This survey on flexible Weinstein manifolds is, essentially, an extract from our recent joint book.

I review recent theoretical advances in heavy hadron spectroscopy.

In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.

This is a survey of recent advances in commutative algebra, especially in mixed characteristic, obtained by using the theory of perfectoid spaces. An explanation of these techniques and a short account of the author's proof of the direct…

We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.

This is an expository survey article on compound Du Val (cDV) singularities, with emphasis on recent homological approaches, including: noncommutative resolutions, tilting theory, contraction algebras, classification, derived categories,…

The purpose of this survey is to present the recent advances about the Pollicott-Ruelle resonances.

We survey noncommutative Choquet theory and some of its applications.

A detailed analysis of the PPT square conjecture is given.

The Union Closed Sets Conjecture states that in every finite, nontrivial set family closed under taking unions there is an element contained in at least half of all the sets of the family. We investigate two new directions with respect to…

The search for dark matter is a very wide and active field of research. Many potential hints of dark matter have appeared recently which led to a burst of theoretical activity and model building. I necessarily concentrate here only in some…

Physics of dielectric mixtures are presented to stimulate discussion and to provide information on the recent advances in this topic.

This paper summarizes the relevant theoretical developments, outlines some ideas to improve experimental searches for free neutron-antineutron oscillations, and suggests avenues for future improvement in the experimental sensitivity.