Inna Entova-Aizenbud





I am a lecturer in Math Department, Ben Gurion University.

I work in Representation Theory; my interests include monoidal categories (particularly Deligne categories), categorical actions, superalgebras, and algebraic combinatorics.


I have completed my graduate studies at MIT, where my advisor was Prof. Pavel Etingof.

Here are my thesis and CV.


Research:

  • Deligne categories and the periplectic Lie superalgebra , upcoming. Joint with Vera Serganova.
  • Deligne categories and representations of the infinite symmetric group, Arxiv. Joint with D. Barter, T. Heidersdorf.
  • Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n), Arxiv. Joint with M. Balagovic, Z. Daugherty, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel. To appear in Math. Res. Lett.
  • Categorical actions on Deligne categories, to appear in Journal of Algebra, Arxiv.
  • Deligne categories and the limit of categories Rep(GL(m|n)), to appear in IMRN, Arxiv. Joint with V. Serganova and V. Hinich.
  • Schur-Weyl duality for Deligne categories II: the limit case, Arxiv. Pacific Journal of Mathematics, Vol. 285 (2016), No. 1, pp. 185224.
  • Reduced Kronecker coefficients and Deligne categories, Arxiv. Journal of Algebraic Combinatorics, Volume 44 (2016), Issue 2, pp. 345362.
  • Schur-Weyl duality for Deligne categories, Arxiv. IMRN (2015), vol. 18: p. 8959-9060.
  • On representations of rational Cherednik algebras of complex rank, Arxiv. Representation Theory 18, AMS (2014), p. 361-407.

    Notes:

  • Notes on restricted inverse limits of categories (short version included as appendix in Schur-Weyl duality for Deligne categories II: the limit case ). On the Arxiv.
  • Complex tensor power is a symmetric monoidal functor .
  • Notes and links from the MIT Seminar on Deligne categories (seminar homepage).


    Talks at conferences:

  • ``Representation theory of finite groups'', connections for women workshop, MSRI, January 2018.
  • "Future Directions in Representation Theory", Sydney, December 2017.
  • "Algebraic Modes of Representations and Nilpotent Orbits: The Canicular Days. Celebrating A. Joseph's 75 birthday", Haifa University, Israel, July 2017.
  • "2017 Taipei Workshop on Representation Theory of Lie Superalgebras and Related Topics", National Center for Theoretical Sciences, Taipei, Taiwan, July 2017. \item ``Conference on Kronecker coefficients'', City University London, United Kingdom, September 2016. \item Israeli Mathematical Union (IMU) meeting, Section "Algebra and Representation Theory", Dead Sea, Israel, May 2015. \item Joint AMS-IMU meeting, Section "Mirror Symmetry and Representation Theory", Tel Aviv University, Israel, June 2014. \item ``12th Night Workshop'', Weizmann Institute of Science, Israel, January 2014.


    Talks at seminars:

  • MSRI, Representations of finite groups seminar, March 2018.
  • Bar Ilan University, Algebra seminar, May 2017.
  • Ben-Gurion University, Math Colloquium, April 2017.
  • University of Bonn, Oberseminar Representation Theory, October 2016. Title: "On representations of the periplectic superalgebra p(n)" (report on project joint with M. Balagovic, Z. Daugherty, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel).
  • Bar Ilan University, Algebra seminar, March 2016.
  • Ben-Gurion University, Algebra seminar, March 2016.
  • University of Oregon, Eugene, Representation Theory seminar, December 2015.
  • MIT, Infinite Dimensional Lie Algebras seminar, September 2015.
  • Technion, Algebra Seminar, December 2014. Title: "Deligne categories and reduced Kronecker coefficients".
  • Weizmann Institute of Science, Algebraic Geometry and Representation Theory Seminar, December 2014. Title: "Deligne categories and reduced Kronecker coefficients".
  • Technion, Algebra Seminar, November 2013. Title: "Schur-Weyl duality in complex rank" (report on work in progress).
  • MIT, Seminar on Deligne categories, Spring 2013. The handwritten notes are available at the seminar homepage.


    Organizer:

    Hafirot in BGU 2017 .
    Hafirot in BGU 2018 .


    Past teaching:

  • Fall 2017: Infinitesimal Calculus 3.
  • Spring 2017: Discrete Math.
  • Fall 2014-Spring 2015: Teacher at the Math Circle in Weizmann Institute of Science ( website of the Math Circle).
  • Fall 2013: Teaching assistant (teaching and grading) in the Rothschild program for high-school math teachers, Weizmann Institute of Science. Courses: "Analysis" and "Math in Everyday Life".
  • Fall 2011: Teaching assistant (grading and help sessions), 18.085 (Computational Science and Engineering), MIT.