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## Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant

This volume, dedicated to the memory of the great American mathematician Bertram Kostant

(May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading

mathematicians working in Lie theory, representation theory, algebra, geometry, and

mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new

insights and connections, and has created new fields of research. This volume features the

only published articles of important recent results of the contributors with full details of their

proofs. Key topics include: Poisson structures and potentials (A. Alekseev, A. Berenstein, B.

Hoffman) Vertex algebras (T. Arakawa, K. Kawasetsu) Modular irreducible representations of

semisimple Lie algebras (R. Bezrukavnikov, I. Losev) Asymptotic Hecke algebras (A. Braverman,

D. Kazhdan) Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych) Nil-

Hecke algebras and Whittaker D-modules (V. Ginzburg) Toeplitz operators (V. Guillemin, A.

Uribe, Z. Wang) Kashiwara crystals (A. Joseph) Characters of highest weight modules (V. Kac, M.

Wakimoto) Alcove polytopes (T. Lam, A. Postnikov) Representation theory of quantized Gieseker

varieties (I. Losev) Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi) Almost

characters (G. Lusztig) Verlinde formulas (E. Meinrenken) Dirac operator and equivariant index

(P.-É. Paradan, M. Vergne) Modality of representations and geometry of-groups (V. L. Popov)

Distributions on homogeneous spaces (N. Ressayre) Reduction of orthogonal representations (J.-

P. Serre).