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 Advanced Studies in Pure Mathematics 2009; 379 pp; hardcover Volume: 54 ISBN-10: 4-931469-51-5 ISBN-13: 978-4-931469-51-8 List Price: US$61 Member Price: US$48.80 Order Code: ASPM/54 This volume is the proceedings of the conference "Algebraic Analysis and Around", in honor of Professor Masaki Kashiwara's 60th birthday. The conference was held in Kyoto in June 2007. Most of the papers are based on talks given at the conference, and the subjects discussed include $$D$$-modules, micro-local analysis, representation theory, integrable systems, to which Kashiwara's contribution and influence are really profound. The readers may find groundbreaking materials for the future in mathematics. Volumes in this series are freely available electronically 5 years post-publication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in analysis. Table of Contents P. Schapira -- Masaki Kashiwara and algebraic analysis T. Tanisaki -- Masaki Kashiwara and representation theory T. Aoki, T. Kawai, and Y. Takei -- The Bender-Wu analysis and the Voros theory. II A. Boysal and S. Kumar -- A conjectural presentation of fusion algebras B. Feigin, E. Feigin, M. Jimbo, T. Miwa, and E. Mukhin -- Principal $$\widehat{{\mathfrak sl}_3}$$ subspaces and quantum Toda Hamiltonian E. Frenkel and D. Gaitsgory -- Local geometric Langlands correspondence: The spherical case K. Kato, C. Nakayama, and S. Usui -- Classifying spaces of degenerating mixed Hodge structures, I: Borel-Serre spaces T. Mochizuki -- Good formal structure for meromorphic flat connections on smooth projective surfaces P.-E. Paradan and M. Vergne -- Quillen's relative Chern character C. Sabbah -- Wild twister $$\mathcal{D}$$-modules M. Saito -- On $$b$$-function, spectrum and multiplier ideals