nLab Pavel Etingof

Pavel Etingof is a mathematician at MIT. He has been one of the main developers of the theory of fusion categories.

• personal page

Selected writings

On orbifold cohomology of symplectic orbifolds:

• Vasily Dolgushev, Pavel Etingof, Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology, Int. Math. Res. Not. 2005, no. 27, 1657-1688 (arXiv:math/0410562)

On tensor categories:

• Damien Calaque, Pavel Etingof, Lectures on tensor categories, IRMA Lectures in Mathematics and Theoretical Physics 12, 1-38 (2008) (arXiv:math/0401246)

• Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, Topics in Lie theory and Tensor categories – 9 Tensor categories, Lecture notes (spring 2009) (pdf web)

• Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, Tensor Categories, AMS Mathematical Surveys and Monographs 205 (2015) $[$ISBN:978-1-4704-3441-0$]$

On fusion categories:

• Pavel Etingof, Dmitri Nikshych, Victor Ostrik, On fusion categories, Annals of Mathematics Second Series, Vol. 162, No. 2 (Sep., 2005), pp. 581-642 (arXiv:math/0203060, jstor:20159926)

• Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, On braided fusion categories I, Selecta Mathematica. New Series 16 (2010), no. 1, 1–119 (doi:10.1007/s00029-010-0017-z)

On representation theory:

• Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob, Elena Yudovina:

  Introduction to representation theory, Student Mathematical Library 59, AMS (2011) [arXiv:0901.0827, ams:stml-59]

On Frobenius exact categories:

• Pavel Etingof, Victor Ostrik, On the Frobenius functor for symmetric tensor categories in positive characteristic, J. für die reine und angewandte Mathematik 773 (2021) 165–198 $[$arXiv:1912.12947$]$

and in view of Deligne's theorem on tensor categories:

• Kevin Coulembier, Pavel Etingof, Victor Ostrik, On Frobenius exact symmetric tensor categories $[$arXiv:2107.02372$]$

On Calogero-Moser systems and double affine Hecke algebras:

• Pavel Etingof, Lectures on Calogero-Moser systems ^lbrack;pdf]

On Lie groups and Lie algebras:

• Pavel Etingof, Lie groups and Lie algebras [arXiv:2201.09397]

On quantum field theory:

• Pavel Etingof: Mathematical ideas and notions of quantum field theory [arXiv:2409.03117]

category: people