nLab Benson Farb

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Selected writings

Introducing the notion of FI-modules ($FinSet_{inj}$-representations):

• Thomas Church, Jordan S. Ellenberg, Benson Farb, FI-modules and stability for representations of symmetric groups, Duke Math. J. 164 9 (2015) 1833-1910 [arXiv:1204.4533, doi:10.1215/00127094-3120274]

• Thomas Church, Jordan S. Ellenberg, Benson Farb, Rohit Nagpal, FI-modules over Noetherian rings, Geom. Topol. 18 (2014) 2951-2984 [arXiv:1210.1854, doi:10.2140/gt.2014.18.2951]

and the related notion of representation stability:

• Thomas Church, Benson Farb, Representation theory and homological stability, Advances in Mathematics

  245 (2013) 250-314 [doi:10.1016/j.aim.2013.06.016]

• Benson Farb, Representation Stability [arXiv:1404.4065]

On mapping class groups:

• Benson Farb, Dan Margalit: A primer on mapping class groups, Princeton Mathematical Series, Princeton University Press (2012) [ISBN:9780691147949, jstor:j.ctt7rkjw, pdf]

category: people