相关论文: Recent developments of the DDVV Conjecture

The talk contains a brief introduction string theory, followed by a discussion of some of the recent developments.

This is a brief survey of recent results related to austere submanifolds, mainly based on the papers [24,25].

I review the recent progress in small $x$ physics, concentrating on the topics relevant to the BFKL evolution.

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

We survey classical and recent results on exponents of Diophantine approximation. We give only a few proofs and highlight several open problems.

In this article, we prove a weighted version of Saitoh's conjecture. As an application, we prove a weighted version of Saitoh's conjecture for higher derivatives.

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

We survey some recent progress in the theory of vector bundles on algebraic varieties and related questions in algebraic K-theory.

This paper is a survey on Deduction modulo theory

We study some versions of the statement of Hadwiger's conjecture for finite as well as infinite graphs.

We give a survey of recent developments in the investigation of the various local-global conjectures for representations of finite groups.

In this note, we use recent advances concerning the K-stability of $\mathbb{Q}$-Fano varieties to provide settings for which Vojta's conjecture holds.

In order to give a unified generalization of the BW inequality and the DDVV inequality, Lu and Wenzel proposed three Conjectures 1, 2, 3 and an open Question 1 in 2016. In this paper we discuss further these conjectures and put forward…

We survey some recent development in the stability theory of klt singularities. The main focus is on the solution of the stable degeneration conjecture.

We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.

In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.

A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid.

We survey some old and new results on strong variants of Chang's Conjecture and related topics.

We prove three conjectures, related to the paperfolding sequence, in a recent paper [arXiv:2005.04066] of P. Barry.

In this short note we briefly review some recent developments in understanding discrete torsion. Specifically, we give a short overview of the highlights of a group of recent papers which give the basic understanding of discrete torsion.…