Seminar Representation Theory, SS 2020

Time and place: Wednesdays 10–12, all talks are given via Zoom

Organisers: Prof. Dr. William Crawley-Boevey, Prof. Dr. Henning Krause

The seminar covers different topics within the field of representation theory.

Schedule of Talks

  • 29 April: Zahra Toosi: Comparison of Spanier–Whitehead Categories and Singularity Categories
  • 06 May: Karin M. Jacobsen: Tilting, cluster-tilting and τ-tilting (following [IR14])[Slides]
  • 13 May: Jan-Paul Lerch : Bijections in τ-tilting theory: a selection (references [AIR14] and [AMV19])[Slides]
  • 20 May: Yuta Kimura: g-vectors of gentle algebras (reference [AY20])
  • 03 June: Sebastian Eckert: Parametrising modules over tubular canonical algebras (references [DMM14] and [Mel07])
  • 17 June: Henning Krause: Tilting preserves finite global dimension (jt. with B. Keller, reference [KK19])
  • 24 June: David Fernandez: The Fourier transform in representation theory (references [Hau06] and [Hau10])
  • 08 July: Bill Crawley-Boevey: Locally free representations of quivers over commutative Frobenius algebras (reference [HLR18])


[AIR14] T. Adachi, O. Iyama and I. Reiten, τ-tilting-theory, Compos. Math. 150 (2014), 415–452, doi:10.1112/S0010437X13007422
[AMV19] L. Angeleri Hügel, F. Marks and J. Vitória, A characterisation of τ-tilting finite algebras , in: Model theory of modules, algebras and categories, Contemp. Math. 730, Amer. Math. Soc. 2019, 75–89, doi:10.1090/conm/730/14711
[AY20] T. Aoki, T. Yurikusa, Complete gentle algebras are g-tame, arXiv:2003.09797
[DMM14] P. Dowbor, H. Meltzer, and A. Mróz, Parametrizations for integral slope homogeneous modules over tubular canonical algebras, Algebr. Represent. Theory 17.1 (2014), 321–356, doi:10.1007/s10468-012-9386-7
[Hau06] T. Hausel, Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform, PNAS 103 (2006), 6120–6124, doi:10.1073/pnas.0601337103
[Hau10] T. Hausel, Kac's conjecture from Nakajima quiver varieties, Invent. Math. 181 (2010), 21–37, doi:10.1007/s00222-010-0241-3
[HLR18] T. Hausel, E. Letellier and F. Rodriguez Villegas, Locally free representations of quivers over commutative Frobenius algebras, arXiv:1810.01818
[IR14] O. Iyama and I. Reiten, Introduction to τ-tilting theory, PNAS 111 (2014), 9704–9711, doi:10.1073/pnas.1313075111
[KK19] B. Keller and H. Krause, Tilting preserves finite global dimension, to appear in: C. R. Math. Acad. Sci. Paris, arXiv:1911.11749
[Mel07] H. Meltzer, Exceptional modules for tubular canonical algebras, Algebr. Represent. Theory 10.5 (2007), 481–496, doi:10.1007/s10468-007-9067-0