BIREP – Representations of finite dimensional algebras at Bielefeld
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Seminar Representation Theory, SS 2018

Time and place: Wednesdays 14-16 in room C01-249

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

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

Schedule of Talks


ADE sequences

[ONFR] M. A. A. Obaid, S. K. Nauman, W. M. Fakieh, and C. M. Ringel, The Number of Support-Tilting Modules for a Dynkin Algebra, JIS 18 (2015) 15.10.6, Link
[Ri] C. M. Ringel, The Catalan combinatorics of the hereditary artin algebras, Contemp. Math. 673, Link
[Yi] E. Yildirim, The Coxeter transformation on cominuscule posets, arXiv:1710.10632, Link

APR tilting

[APR] M. Auslander, M. I. Platzeck and I. Reiten, Coxeter functors without diagrams, Trans. Amer. Math. Soc. 250 (1979), 1–46 , Link
[La] S. Ladkani, Perverse equivalences, BB-tilting, mutations and applications, arXiv:1001.4765, Link

Kac polynomials

[Me] A. Mellit, Poincare polynomials of character varieties, Macdonald polynomials and affine Springer fibers, arXiv:1710.04513, Link

Kit algebras

[Br] Thomas Brüstles, Kit algebra, J. Algebra 240 (2001), no. 1, 1–24 , Link
[RV] C. M. Ringel and D Vossieck, Hammocks, Proc. London Math. Soc. (3) 54 (1987), no. 2, 216–246 , Link

Noncommutative Poisson and symplectic structures

[BFR] Y. Berest, G. Felder and A. Ramadoss, Derived representation schemes and noncommutative geometry, Expository lectures on representation theory, 113-162, Contemp. Math., 607, Amer. Math. Soc., Providence, RI, 2014 , Link
[CBEG] W. Crawley-Boevey, P. Etingof and V. Ginzburg,, Noncommutative geometry and quiver algebras, Adv. Math. 209 (2007), no. 1, 274-336, Link
[Fe] D. Fernandez, The Kontsevich-Rosenberg principle for bi-symplectic forms, arXiv:1708.02650, Link
[VdB] M. Van den Bergh, Double Poisson algebras, Trans. Amer. Math. Soc. 360 (2008), no. 11, 5711-5769, Link

Quasi-hereditary algebras

[IR] O. Iyama and I. Reiten, 2-Auslander algebras associated with reduced words in Coxeter groups, Int. Math. Res. Not. IMRN, no. 8, Link
[BIRS] A. B. Buan, O. Iyama, I. Reiten and J. Scott, Cluster structures for 2-Calabi–Yau categories and unipotent groups, Compositio Mathematica, vol. 145, no. 04, Link

Relative homological algebra

[AS1] M. Auslander and Ø. Solberg, Relative homology and representation theory. I. Relative homology and homologically finite subcategories, Comm. Algebra 21 (1993), no. 9 , Link
[AS2] M. Auslander and Ø. Solberg, Relative homology and representation theory. II. Relative cotilting theory, Comm. Algebra 21 (1993), no. 9, Link
[AS3] M. Auslander and Ø. Solberg, Relative homology and representation theory. III. Cotilting modules and Wedderburn correspondence, Comm. Algebra 21 (1993), no. 9, Link