Resulting from the Tenth International Conference on Representations of Algebras and Related Topics held at The Fields Institute (Toronto, ON, Canada), this collection of research and survey articles, honoring Vlastimil Dlab's seventieth birthday, reflects state-of-the-art research on the topic. Leading experts contributed papers, demonstrating the interaction between representation theory of finite dimensional algebras and neighboring subjects. A wide range of topics are covered, including quantum groups, the theory of Lie algebras, the geometry and combinatorics of tilting theory, commutative algebra, algebraic geometry, homology theories, and derived and triangulated categories. The book is suitable for graduate students and researchers interested in the theory of algebras.

Table of Contents:
On translation quivers with weak sections by E. R. Alvares and F. U. Coelho Realization of general and special linear algebras via Hall algebras by H. Asashiba On discrete and inductive algebras by R. Bautista and L. Salmeron Exact structures for lift categories by R. Bautista and R. Zuazua Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials by G. Benkart and D. Moon Introduction to realizability of modules over Tate cohomology by D. Benson, H. Krause, and S. Schwede Auslander algebras and simple plane curve singularities by J. Bilodeau On derived categories of certain associative algebras by I. Burban and Y. Drozd Gentle algebras are Gorenstein by C. Geiss and I. Reiten On the primeness of an Artin-Schelter regular Koszul algebra by J. Y. Guo On the set of tilting objects in hereditary categories by D. Happel and L. Unger Irreudicible components, nilpotent classes, and the Auslander algebra of $k[T]/T^n$ by L. Hille A generalization of the Auslander formula by M. Hoshino and K. Nishida Representations of a quiver with automorphism: Generalising a theorem of Kac by A. Hubery On the finitistic global dimension conjecture for Artin algebras by K. Igusa and G. Todorov Some applications of Gelfand-Zetlin modules by O. Khomenko A tubular algebra with three types of separating tubular families by D. Kussin PBW bases, non-degeneracy conditions and applications by V. Levandovsky Projective dimensions and Nakayama algebras by D. Madsen Borel subalgebras of extension algebras by F. Marko Extesion algebras of standard modules by F. Marko Cohomology of tails and stable cohomology over Koszul quiver algebras by R. Martinez Villa and A. Martsinkovsky A survey of well generated triangulated categories by A. Neeman Oneway hereditary rings by M. Sato Deformations, tiltings, and decomposition matrices by M. Schaps On the multiplication in the quantized enveloping algebra of type $A$ by R. Schiffler Equipped posets of finite growth by A. Zavadskij.