Seminar: Noncrossing Partitions

Programme:

14:15	-	15:15	Claudia Köhler	The connection between braid group actions on exceptional sequences,
				thick subcategories, and noncrossing partitions
15:30	-	16:30	Tobias Jakobi	Crossings in q-Deformed Probability Theory
17:00	-	18:00	Dirk Kussin	Transitivity of the braid group action for Coxeter groups (after Igusa-Schiffler)

13:15	-	14:15	Holger Kösters	Random Matrices and their Connection to Free Probability Theory
14:30	-	15:30	Philipp Lampe	The simple transitivity of the braid group action and noncrossing loops (after Bessis)
16:00	-	17:00	Friedrich Götze	Analytic Definition of Free Addition and Multiplication, and Applications

Wednesday the seminar takes place in V3-201. Friday we meet in V2-216.

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M. Aguiar, Infinitesimal Bi-Algebras, in "Hopf Algebras", Lecture Notes in Pure & Applied Mathematics, vol. 237 (2004), 1-33.
D. Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups, Mem. Amer. Math. Soc. 202 (2009), no. 949, x+159 pp.
C. A. Athanasiadis and V. Reiner, Noncrossing partitions for the group Dn. SIAM J. Discrete Math., 18(2):397-417 (electronic), 2004.
D. Bessis, A dual braid monoid for the free group. J. Algebra 302 (2006), no. 1, 55-69.
F. Hiai, D. Petz: The semicircle law, free random variables and entropy. American Mathematical Society, 2000.
K. Igusa and R. Schiffler, Exceptional sequences and clusters, J. Algebra 323 (2010), no. 8, 2183--2202.
C. Ingalls and H. Thomas, Noncrossing partitions and representations of quivers, Compos. Math. 145 (2009), no.6, 1533--1562.
C. Koehler, Thick subcategories of finite algebraic triangulated categories, arXiv:1010.0146v1 [math.CT].
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A. Nica; R. Speicher: Lectures on the Combinatorics of Free Probability. Cambridge University Press, 2006.
V. Reiner, Non-crossing partitions for classical reflection groups. Discrete Math., 177(1-3):195-222, 1997.
D. V. Voiculescu, K. J. Dykema, A. Nica: Free Random Variables. American Mathematical Society, 1992.