Open Problems in

Algebraic Combinatorics

  • OPAC Conference Postponed

    March 19, 2020 by

    Because of the COVID-19 pandemic, the University of Minnesota’s Open Problems in Algebraic Combinatorics conference, which was scheduled for May 18–22, 2020, has been postponed. The likely date of the conference will be May 17-21 of 2021, a year from the original date. See the conference website for more information.

  • Welcome to the OPAC blog!

    September 2, 2019 by

    The OPAC blog is for members of algebraic combinatorics community to share open problems with each other. To submit an entry, please…

  • OPAC 2021 Proceedings Articles

    June 24, 2020 by

    The OPAC 2021 conference will be accompanied by a proceedings to be published by the AMS, and some of the articles for the proceedings are now available on the conference website. These articles also discuss open problems in algebraic combinatorics, in somewhat more detail than the posts featured on this blog.

  • Coinvariants and harmonics

    January 26, 2020 by

    An open problem about understanding the coinvariants of the symmetric group action on polynomials in multiple sets of (commuting and anti-commuting) variables.

  • Descent sets for tensor powers

    December 1, 2019 by

    An open problem about understanding combinatorially the characters of the symmetric group acting on tensor powers of representations of a reductive group.

  • The restriction problem

    November 17, 2019 by

    An open problem about the restriction of irreducible general linear group representations to the subgroup of permutation matrices.

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