Related papers: Some recent progress on the Restriction conjecture

In this paper, we give a survey of the recent develpoments of the DDVV conjecture.

This is a survey on Kawaguchi-Silverman conjecture.

We discuss various recent advances on weak forms of the Twin Prime Conjecture.

New cases of the multiplicity conjecture are considered.

In this survey, we give a short overview of the recent progress on the multidimensional L2 conjecture. It can also serve as an introduction to the subject.

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

The purpose of these notes is describe the state of progress on the restriction problem in harmonic analysis, with an emphasis on the developments of the past decade or so on the Euclidean space version of these problems for spheres and…

We discuss recent progress many problems in random matrix theory of a combinatorial nature, including several breakthroughs that solve long standing famous conjectures.

We provide new sufficient conditions under which Ryser's conjecture holds.

We survey the state of the union-closed sets conjecture.

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

We survey recent developments towards a proof of the Penrose conjecture and results on Penrose-type and other geometric inequalities for quasi-local masses in general relativity.

In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results

We give a counterexample to a recently conjectured variant of the Penrose inequality.

In this short survey article, we aim to provide an up to date information on the progress made towards Schurs exponent conjecture and related conjectures. We also mention the connection between Schurs exponent conjecture and Noether's…

Two conjectures recently proposed by one of the authors are disproved

We describe recent advances in the study of random analogues of combinatorial theorems.

We survey Kondrat'ev--Landis' conjecture, providing an up-to-date account of the main advances and describing the techniques developed. We complement the overview with references and formulations of the problem in further closely connected…

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

Several results about the union-closed sets conjecture are presented.