Tag Archives: Karim Adiprasito

Amazing: Simpler and more general proofs for the g-theorem by Stavros Argyrios Papadakis and Vasiliki Petrotou, and by Karim Adiprasito, Stavros Argyrios Papadakis, and Vasiliki Petrotou.

Posted on January 21, 2021 by Gil Kalai

Stavros Argyrios Papadakis, Vasiliki Petrotou, and Karim Adiprasito In 2018, I reported here about Karim Adiprasito’s proof of the g-conjecture for simplicial spheres.  This conjecture by McMullen from 1970 was considered a holy grail of algebraic combinatorics and it resisted … Continue reading →

Posted in Algebra, Combinatorics, Geometry | Tagged , , , , | 7 Comments

To cheer you up in difficult times 13: Triangulating real projective spaces with subexponentially many vertices

Posted on November 14, 2020 by Gil Kalai

Wolfgang Kühnel Today I want to talk about a new result in a newly arXived paper: A subexponential size by Karim Adiprasito, Sergey Avvakumov, and Roman Karasev. Sergey Avvakumov gave about it a great zoom seminar talk about the result … Continue reading →

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

Karim Adiprasito: The g-Conjecture for Vertex Decomposible Spheres

Posted on February 23, 2019 by Gil Kalai

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 general case. See also  in the … Continue reading →

Posted in Combinatorics, Convex polytopes, Geometry, Guest blogger | Tagged , , , , | 9 Comments

Amazing: Karim Adiprasito proved the g-conjecture for spheres!

Posted on December 25, 2018 by Gil Kalai

Karim in his youth with a fan Congratulations, Karim! Update: Here is the link to the paper From the arXive, Dec 26, 2018. (Link will be added tomorrow.) COMBINATORIAL LEFSCHETZ THEOREMS BEYOND POSITIVITY by Karim Adiprasito Abstract: Consider a simplicial complex … Continue reading →

Posted in Combinatorics, Updates | Tagged , | 14 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

Beyond the g-conjecture – algebraic combinatorics of cellular spaces I

Posted on June 20, 2018 by Gil Kalai

The g-conjecture for spheres is surely the one single conjecture I worked on more than on any other, and also here on the blog we had a sequence of posts about it by Eran Nevo (I,II,III,IV). Here is a great … Continue reading →

Posted in Combinatorics, Convex polytopes, Geometry | Tagged , , , , , , , , , , , , , , , , , , | 14 Comments

Postoctoral Positions with Karim and Other Announcements!

Posted on August 28, 2016 by Gil Kalai

Postoctoral positions with Karim Adiprasito My young friend and colleague Karim Adiprasito  told me that he has funding for postdocs (with or without teaching) and students (with or without teaching), both at the Hebrew University of Jerusalem (HUJI) and the MPI/University … Continue reading →

Posted in Combinatorics, Updates | Tagged | Leave a comment

Karim Adiprasito: Flag simplicial complexes and the non-revisiting path conjecture (A combinatorial proof of the Adiprasito-Benedetti theorem.)

Posted on November 12, 2012 by Gil Kalai

This post is authored by Karim Adiprasito The past months have seen some exciting progress on diameter bounds for polytopes and polytopal complexes, both in the negative and in the positive direction.  Jesus de Loera and Steve Klee described simplicial polytopes which are not  … Continue reading →

Posted in Convex polytopes, Guest blogger | Tagged , , , | Leave a comment