Tag Archives: Peter Keevash

Subspace Designs, Unit and Distinct Distances, and Piercing Standard Boxes.

Posted on March 10, 2023 by Gil Kalai

A lot of things are happening and let me briefly report on three major advancements in combinatorics. Peter Keevash, Ashwin Sah and Mehtaab Sawhney proved the existence of subspace designs with any given parameters, provided that the dimension of the … Continue reading →

Posted in Combinatorics, Geometry | Tagged , , , , , , | 4 Comments

To cheer you up in difficult times 3: A guest post by Noam Lifshitz on the new hypercontractivity inequality of Peter Keevash, Noam Lifshitz, Eoin Long and Dor Minzer

Posted on May 8, 2020 by Gil Kalai

This is a guest post kindly contributed by Noam Lifshitz. My short introduction: There is nothing like a new hypercontractivity inequality to cheer you up in difficult times and this post describes an amazing new hypercontractivity inequality.  The post describes … Continue reading →

Posted in Analysis, Combinatorics, Computer Science and Optimization, Guest blogger, Poetry, Probability | Tagged , , , , | 5 Comments

Exciting Beginning-of-the-Year Activities and Seminars.

Posted on October 30, 2018 by Gil Kalai

Let me mention two talks with very promising news by friends of the blog, Karim Adiprasito and Noam Lifshitz. As always, with the beginning of the academic year there are a lot of exciting activities,  things are rather hectic around,  … Continue reading →

Posted in Combinatorics, Geometry, Probability | Tagged , , , , , | 3 Comments

Peter Keevash and Eoin Long: Forbidden vector-valued intersections

Posted on February 25, 2018 by Gil Kalai

Peter Keevash and Eoin Long arxived some time ago a very nice paper:  Forbidden vector-valued intersections, which settled a problem that was first posed here on the blog. Here is the abstract. We solve a generalised form of a conjecture of Kalai … Continue reading →

Posted in Combinatorics | Tagged , | Leave a comment

Peter Keevash: More and Easier Designs!

Posted on February 23, 2018 by Gil Kalai

Peter Keevash just posted on the arxiv a couple of new papers on designs. The first is a rewritten version of his original paper The existence of designs with a much simpler proof. The second paper The existence of designs … Continue reading →

Posted in Combinatorics | Tagged | Leave a comment

Séminaire N. Bourbaki – Designs Exist (after Peter Keevash) – the paper

Posted on September 2, 2015 by Gil Kalai

Update: Nov 4, 2015: Here is the final version of the paper: Design exists (after P. Keevash). On June I gave a lecture on Bourbaki’s seminare devoted to Keevash’s  breakthrough result on the existence of designs. Here is a draft of the … Continue reading →

Posted in Combinatorics | Tagged , | 7 Comments

In And Around Combinatorics: The 18th Midrasha Mathematicae. Jerusalem, JANUARY 18-31

Posted on September 29, 2014 by Gil Kalai

  The 18th yearly school in mathematics is devoted this year to combinatorics. It will feature lecture series by Irit Dinur, Joel Hass, Peter Keevash, Alexandru Nica, Alexander Postnikov, Wojciech Samotij, and David Streurer and additional activities. As usual grants … Continue reading →

Posted in Conferences, Updates | Tagged , , , , , , , | 1 Comment

Amazing: Peter Keevash Constructed General Steiner Systems and Designs

Posted on January 16, 2014 by Gil Kalai

Here is one of the central and oldest problems in combinatorics: Problem: Can you find a collection S of q-subsets from an n-element set X set so that every r-subset of X is included in precisely λ sets in the collection? … Continue reading →

Posted in Combinatorics, Open problems | Tagged , , , | 16 Comments