Category Archives: Updates

The Quantum Fault-Tolerance Debate Updates

In a couple of days, we will resume the debate between Aram Harrow and me regarding the possibility of universal quantum computers and quantum fault tolerance. The debate takes place over GLL (Godel’s Lost Letter and P=NP) blog. The Debate Where were … Continue reading

Posted in Computer Science and Optimization, Controversies and debates, Physics, Updates | Tagged , | 5 Comments

Exciting News on Three Dimensional Manifolds

The Virtually Haken Conjecture A Haken 3-manifold is a compact 3-dimensional manifold M which is irreducible (in a certain strong sense) but contains an incompressible surface S. (An embedded surface S is incompressible if the embedding indices an injection of its … Continue reading

Posted in Geometry, Updates | Tagged , , | 2 Comments

Updates, Boolean Functions Conference, and a Surprising Application to Polytope Theory

The Debate continues The debate between Aram Harrow and me on Godel Lost letter and P=NP (GLL) regarding quantum fault tolerance continues. The first post entitled Perpetual  motions of the 21th century featured mainly my work, with a short response by Aram. … Continue reading

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A Couple Updates on the Advances-in-Combinatorics Updates

In a recent post I mentioned quite a few remarkable recent developments in combinatorics. Let me mention a couple more. Independent sets in regular graphs A challenging conjecture by Noga Alon and Jeff Kahn in graph theory was about the number of … Continue reading

Posted in Combinatorics, Open problems, Updates | Tagged , | 4 Comments

Tentative Plans and Belated Updates II

  Elementary school reunion: Usually, I don’t write about personal matters over the blog, but having (a few weeks ago) an elementary school reunion after 42 years was a moving and exciting event as to consider making an exception. For now, … Continue reading

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I just came back home after two months in the US, mainly in and around New Haven and also in IPAM (Los Angeles) and Texas A&M. I heard all sort of wonderful things (but some sad news as well). I met a … Continue reading

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Recent and Future Excitements

It is very hectic around here and on top of the eight or so regular research seminars at math (and quite a few more at CS) we have many visitors as school terms at the US are over. A week … Continue reading

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IPAM Fall 2009

Combinatorics: Methods and Applications in Mathematics and Computer Science September 8 – December 11, 2009 Scientific overview: Combinatorics is a fundamental mathematical discipline as well as an essential component of many mathematical areas. It studies discrete objects and their properties. … Continue reading

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Plans and Updates

Jerusalem and Budapest       Monday, last week was the last day of lectures for the spring term here at the Hebrew U.  One outcome of the long professors’ strike was a very fruitful year for research seminars. We ran them during … Continue reading

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

Pushing Behrend Around

Erdos and Turan asked in 1936: What is the largest subset of {1,2,…,n} without a 3-term arithmetic progression? In 1946 Behrend found an example with  Now, sixty years later, Michael Elkin pushed the the factor from the denominator to the enumerator, … Continue reading

Posted in Combinatorics, Updates | Tagged , , | 10 Comments