相关论文: Recent developments of the DDVV Conjecture

Several new invariants for Lie algebroids have been discovered recently. We give an overview of these invariants and establish several relationships between them.

Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix and consider an extension of it.

We briefly review the current status of the determination of |V_{us}| and |V_{ud}|, with particular attention to the latest experimental and theoretical developments on |V_{us}| since the first CKM Workshop.

In this note, while giving an overview of the state of art of the well known Hadamard conjecture, which is more than a century old and now it has been established by using the methods given in the two papers by Mohan et al [6,7].

A new construction, with more visible canonical features, of a qKdV equation in a q-Virasoro context is exhibited.

This article gives an overview, aimed at theoretical particle physicists, of some recent developments in cosmology.

Using a multicomponent version of the CKP hierarchy we construct the prepotential of the WDVV equations.

An overview of recent theoretical progress on Non-Relativistic QCD and related effective theories is provided.

I discuss recent developments in the theoretical study of Higgs search at LHC.

The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.

In (Duane, Garsia, Zabrocki 2013) the authors introduced a new dinv statistic, denoted ndinv, on the two part case of the shuffle conjecture (Haglund et al. 2005) in order to prove a compositional refinement. Though in (Hicks, Kim 2013) a…

We introduce a new method in the attempt to prove the Jacobian conjecture. In the complex dimension 2 case, we apply this method to prove some new results related the Jacobian conjecture.

I discuss the computational methods behind the formulation of some conjectures related to variants on Andrews' $q$-Dyson conjecture.

We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.

This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

This short survey contains some recent developments of the algebraic theory of racks and quandles. We report on some elements of representation theory of quandles and ring theoretic approach to quandles.

This paper takes a new step in the direction of proving the Duffin-Schaeffer Conjecture for measures arbitrarily close to Lebesgue. The main result is that under a mild `extra divergence' hypothesis, the conjecture is true.

Some forms of qKdV type equations are indicated which arise from Virasoro considerations.

This survey presents an overview of the advances around Tverberg's theorem, focusing on the last two decades. We discuss the topological, linear-algebraic, and combinatorial aspects of Tverberg's theorem and its applications. The survey…