Download

[1] Đề thi chọn đội VMO của Hà Nội https://nttuan.org/2020/06/03/hanoi-tst/

—

Update 28/7/2020.

Dream a Little Dream: Quantum Computer Poetry for the Skeptics (Part II, The Classics) October 24, 2021

Quantum poetry for the skeptics had long roots, and, also here, Peter Shor along with Jennifer Shor had a pioneering role. Volker Strassen’s response is the earliest poem known to me on the skeptics’ side. We will start with Jennifer … Continue reading →

Gil Kalai

Giving a talk at Eli and Ricky’s geometry seminar. (October 19, 2021) October 17, 2021

One of my favorite seminars in the world is the Courant Institute (NYU) Geometry seminar that Eli Goodman and Ricky Pollack started in the 1980s (I think). On Tuesday October 19, I will give a seminar, details follow. Jacob Eli … Continue reading →

Gil Kalai

To cheer you up in difficult times 32, Annika Heckel’s guest post: How does the Chromatic Number of a Random Graph Vary? October 2, 2021

This is a guest post kindly written by Annika Heckel. We first reported about Annika Heckel’s breakthrough in this post. A pdf version of this post can be found here. Pick an -vertex graph uniformly at random. Pick another one. … Continue reading →

Gil Kalai

To Cheer You Up in Difficult Times 31: Federico Ardila’s Four Axioms for Cultivating Diversity September 22, 2021

Todos Cuentan (Everybody counts) In a beautiful NAMS 2016 article Todos Cuentan: Cultivating Diversity in Combinatorics, Federico Ardila put forward four thoughtful axioms which became a useful foundation for Ardila’s own educational and outreach efforts, and were offered as a pressing … Continue reading →

Gil Kalai

Dream a Little Dream: Quantum Computer Poetry for the Skeptics (Part I, mainly 2019) September 19, 2021

Stars shining bright above you, Night breezes seem to whisper “I love you” Birds singing in the sycamore tree. Dream a little dream. (YouTube) Greetings from NYC everybody! Peter Shor pioneered (Nov 26, 2019) quantum poetry for the skeptics over … Continue reading →

Gil Kalai

To Cheer you up in difficult times 30: Irit Dinur, Shai Evra, Ron Livne, Alex Lubotzky, and Shahar Mozes Constructed Locally Testable Codes with Constant Rate, Distance, and Locality September 17, 2021

The Simons Institute announces an October 6, 2021 lecture by Irit Dinur with the result in the title. This is a wonderful breakthrough. I am glad to mention that I have altogether 170 combined years of friendships with the authors. … Continue reading →

Gil Kalai

To cheer you up in difficult times 29: Free will, predictability and quantum computers August 18, 2021

I wrote a paper, in Hebrew, entitled “Free will, predictability and quantum computers.” Click for the pdf file (Version of Aug. 24, 2021; orig. version). As you probably know, the free will problem is the apparent contradiction between the fact … Continue reading →

Gil Kalai

Alef’s corner: Mathematical research August 14, 2021

Gil Kalai

Let me tell you about three of my recent papers August 5, 2021

Let me tell you briefly about three of my papers that were recently accepted for publication. Relative Leray numbers via spectral sequences with Roy Meshulam, Helly-type problems with Imre Bárány, and Statistical aspects of quantum supremacy experiments with Yosi … Continue reading →

Gil Kalai

Mathematical news to cheer you up August 1, 2021

1. Anna Kiesenhofer, a PhD mathematician researching PDEs at Ecole Polytechnique Federale Lausanne (EPFL), won the gold medal in the women’s bicycle road race at the Olympics. Here are two trivia question: a) Which hero of a recent post over … Continue reading →

Gil Kalai

Terence Tao

Nines of safety: a proposed unit of measurement of risk October 4, 2021

In everyday usage, we rely heavily on percentages to quantify probabilities and proportions: we might say that a prediction is accurate or accurate, that there is a chance of dying from some disease, and so forth. However, for those without extensive mathematical training, it can sometimes be difficult to assess whether a given percentage amounts […]

Terence Tao

The Hardy–Littlewood–Chowla conjecture in the presence of a Siegel zero September 15, 2021

Joni Teräväinen and I have just uploaded to the arXiv our preprint “The Hardy–Littlewood–Chowla conjecture in the presence of a Siegel zero“. This paper is a development of the theme that certain conjectures in analytic number theory become easier if one makes the hypothesis that Siegel zeroes exist; this places one in a presumably “illusory” […] […]

Terence Tao

More analysis questions from a high school student September 15, 2021

A few months ago I posted a question about analytic functions that I received from a bright high school student, which turned out to be studied and resolved by de Bruijn. Based on this positive resolution, I thought I might try my luck again and list three further questions that this student asked which do […]

Terence Tao

Undecidable translational tilings with only two tiles, or one nonabelian tile August 19, 2021

Rachel Greenfeld and I have just uploaded to the arXiv our preprint “Undecidable translational tilings with only two tiles, or one nonabelian tile“. This paper studies the following question: given a finitely generated group , a (periodic) subset of , and finite sets in , is it possible to tile by translations of the tiles […]

Terence Tao

Varieties of general type with many vanishing plurigenera, and optimal sine and sawtooth inequalities July 26, 2021

Louis Esser, Burt Totaro, Chengxi Wang, and myself have just uploaded to the arXiv our preprint “Varieties of general type with many vanishing plurigenera, and optimal sine and sawtooth inequalities“. This is an interdisciplinary paper that arose because in order to optimize a certain algebraic geometry construction it became necessary to solve a purely anal […]

Terence Tao

The Gowers uniformity norm of order 1+ July 25, 2021

In the modern theory of higher order Fourier analysis, a key role are played by the Gowers uniformity norms for . For finitely supported functions , one can define the (non-normalised) Gowers norm by the formula where denotes complex conjugation, and then on any discrete interval and any function we can then define the (normalised) […]

Terence Tao

Quantitative bounds for Gowers uniformity of the Mobius and von Mangoldt functions July 6, 2021

Joni Teräväinen and myself have just uploaded to the arXiv our preprint “Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions“. This paper makes quantitative the Gowers uniformity estimates on the Möbius function and the von Mangoldt function . To discuss the results we first discuss the situation of the Möbius function, […] […]

Terence Tao

Singmaster’s conjecture in the interior of Pascal’s triangle June 8, 2021

Kaisa Matomäki, Maksym Radziwill, Xuancheng Shao, Joni Teräväinen, and myself have just uploaded to the arXiv our preprint “Singmaster’s conjecture in the interior of Pascal’s triangle“. This paper leverages the theory of exponential sums over primes to make progress on a well known conjecture of Singmaster which asserts that any natural number larger than a […]

Terence Tao

Goursat and Furstenberg-Weiss type lemmas May 8, 2021

I’m collecting in this blog post a number of simple group-theoretic lemmas, all of the following flavour: if is a subgroup of some product of groups, then one of three things has to happen: ( too small) is contained in some proper subgroup of , or the elements of are constrained to some sort of […]

Terence Tao

Is there a non-analytic function with all differences analytic? May 4, 2021

I was asked the following interesting question from a bright high school student I am working with, to which I did not immediately know the answer: Question 1 Does there exist a smooth function which is not real analytic, but such that all the differences are real analytic for every ? The hypothesis implies that […]

Terence Tao

	Nguyễn Trung Tuân on Lớp 9 năm học 2021-2022: Một s…
	Long on Lớp 9 năm học 2021-2022: Một s…
	Hopf on Các căn bậc hai là độc lập…
	Nguyen Trung Tuan on Một số trang về Olympic T…
	Vnt.hnue on Một số trang về Olympic T…

Share this:

Like this: