相关论文: Some recent progress on the Restriction conjecture
A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.
The paper presents a counterexample to the Hodge conjecture.
This is a brief review of the present status, of some recent developments and of the open challenges in string/M theory.
We present a selection of known as well as new variants of the Sensitivity Conjecture and point out some weaker versions that are also open.
The present status of superstring phenomenology is briefly discussed.
This is an exposition of recent developments in the theory of bounded differences between primes. Readers are expected to be beginners of analytic number theory. The present text is a substantially improved and augmented version of the one…
We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.
We give an overview of the constrained Willmore problem and address some conjectures arising from partial results and numerical experiments. Ramifications of these conjectures would lead to a deeper understanding of the Willmore functional…
We prove Union-Closed sets conjecture.
We prove a number of conjectures [arXiv:2005.04066] recently stated by P. Barry, related to the paperfolding sequence and the Rueppel sequence.
We provide a proof of a variant of the Landau-Siegel Zeros conjecture.
Progress is reviewed in the understanding of color confinement .
We present a positive solution to the so-called Bernoulli Conjecture concerning the characterization of sample boundedness of Bernoulli processes. We also discuss some applications and related open problems.
This article gives a brief overview of the status of attempts to constrain inflation using observations, and examines prospects for future developments.
The past few years have seen remarkable progress in the theory and phenomenology of QCD, bringing perturbative and nonperturbative methods into closer contact with each other and with experiment.
I briefly discuss some recent developments (and recall some old news) in the theory and phenomenology of generalised parton distributions.
This manuscript is intended as an accompaniment to Guth's "A restriction estimate using polynomial partitioning". We begin by summarizing the core ideas of the proof, elaborating the history and development of the techniques therein. From…
Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.
We discuss some new results concerning Gap Conjecture on group growth and present a reduction of it (and its *-version) to several special classes of groups. Namely we show that its validity for the classes of simple groups and residually…
I discuss recent developments in the theoretical study of Higgs search at LHC.