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Karim Adiprasito: The g-Conjecture for Vertex Decomposible Spheres
J Scott Provan (site) The following post was kindly contributed by Karim Adiprasito. (Here is the link to Karim’s paper.) Update: See Karim’s comment on the needed ideas for extend the proof to the...
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Danny Nguyen and Igor Pak: Presburger Arithmetic Problem Solved!
Short Presburger arithmetic is hard! This is a belated report on a remarkable breakthrough from 2017. The paper is Short Presburger arithmetic is hard, by Nguyen and Pak. Danny Nguyen Integer...
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Tomorrow: Boolean functions day at the TAU theory fest
As part of the 2019/2020 TAU theory fest, tomorrow, Friday, January 3, 2020, is a Boolean function day at Tel Aviv University. The five speakers are Esty Kelman, Noam Lifschitz, Renan Gross, Ohad...
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To cheer you up in difficult times 22: some mathematical news! (Part 1)
To cheer you up, in these difficult times, here are (in two parts) some mathematical news that I heard in personal communications or on social media. (Maybe I will write later, in more details, about...
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To cheer you up in difficult times 26: Two real-life lectures yesterday at...
After 16 months without lecturing to an audience in my same location, I gave yesterday two lectures at the Technion in front of a live audience (and some additional audience in remote locations). The...
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Giving a talk at Eli and Ricky’s geometry seminar. (October 19, 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...
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The Logarithmic Minkowski Problem
The logarithmic origin of Manhattan We are spending the fall semester in NYC at NYU and yesterday* I went to lunch with two old friends Deane Yang and Gaoyong Zhang. They told me about the logarithmic...
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Chaim Even-Zohar, Tsviqa Lakrec, and Ran Tessler present: The Amplituhedron...
There is a recent breakthrough paper The Amplituhedron BCFW Triangulation by Chaim Even-Zohar, Tsviqa Lakrec, and Ran Tessler Abstract: The amplituhedron is a geometric object, introduced by...
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Joshua Hinman proved Bárány’s conjecture on face numbers of polytopes, and...
Joshua Hinman proved Bárány’s conjecture. One of my first posts on this blog was a 2008 post Five Open Problems Regarding Convex Polytopes, now 14 years later, I can tell you about the first problem on...
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A High-Dimensional Diameter Problem for Polytopes
Avi Wigderson is here for a year and it was a good opportunity to go back together to the question of diameter of polytopes. The diameter problem for polytopes is to determine the behavior of the...
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