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 Hindustan Book Agency 2011; 1632 pp; hardcover ISBN-10: 93-80250-17-7 ISBN-13: 978-93-80250-17-5 List Price: US$215 Member Price: US$172 Order Code: HIN/50 For the past fifty years, C.S. Seshadri has been a towering figure in the mathematical world, and his contributions have been central to the development of moduli problems and geometric invariant theory as well as representation theory of algebraic groups. These two volumes of his collected papers have been organized in accordance with the subject matter, faithfully reflecting the diversity of his mathematical contributions. These volumes will inspire future generations of mathematicians and provide insights into the unique mathematical personality of C.S. Seshadri. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in algebra and algebraic geometry. Table of Contents Volume 1: Vector Bundles and Invariant Theory V. Balaji and V. Lakshmibai, C. S. Seshadri's work on vector bundles and invariant theory David Gieseker and Jun Li, Non-abelian Jacobians and gauge theory Generalised multiplicative meromorphic functions on a complex analytic manifold, Jour. Ind. Math. Soc., 21 (1957), 149-175 Triviality of vector bundles over the affine space $$K^2$$, Proc. Nat. Aca. Sci., U.S.A. 44 (1958), 456-458 Lópération de Cartier: Applications, Séminaire C. Chevalley, 3e année, 1958-1959 Diviseurs en géometrie algébrique, Séminaire C. Chevalley, 3e année, 1958-1959 Diviseurs en géometrie algébrique (Suite), Séminaire C. Chevalley, 3e année, 1958-1959 Algebraic vector bundles over the product of an affine curve and the affine line, Proc. Amer. Math. Soc., 10 (1959), 670-673 Variété de Picard d'une variété complète, Annali di Mat. Italy IV, Vol. LVII (1962), 117-142 On a theorem of Weitzenböck in invariant theory, J. Math, Kyoto Univ. 1, No. 3 (1962), 403-409 Some results on the quotient space by an algebraic group of automorphisms, Math. Annalen, 149 (1963), 286-301 Quotient space by an Abelian variety, Math. Annalen, 152 (1963), 185-194 with M. S. Narasimhan, Holomorphic vector bundles on a compact Riemann surface, Math, Ann., 155 (1964), 69-80 with M. S. Narasimhan, Stable bundles and unitary bundles on a compact Riemann surface, Proc. Nat. Acad. Soc., 52 (1964), 207-211 with M. S. Narasimhan, Stable bundles and unitary vector bundles on a compact Riemann surface, Annals of Math., 82 (1965), 540-567 Universal property of the Picard variety of a complete variety, Math. Ann., 156 (1965), 293-296 Space of unitary vector bundles on a compact Riemann surface, Annals of Math., 85 (1967), 303-335 Mumford's conjecture for Gl(2) and applications, Proc. Intern. Colloquium on Algebraic Geometry, Bombay (1968), 347-371 Moduli of $$\pi$$-vector bundles over an algebraic curve, Questions on algebraic Varieties, C.I.M.E, Varenna, (1969), 139-261 Quotient spaces modulo reductive algebraic groups, Annals. of Math., 95, No. 3 (1972), 511-556 Errata to Quotient spaces modulo reductive algebraic groups', Annals. of Math. Vol. 96 (1972), p. 599 Theory of moduli, Proc. Symp. in Pure Mathematics, Algebraic Geometry, Arcata, 1974, Amer. Math. Soc. (1975), 265-304 Geometric reductivity over arbitrary base, Advances in Math., 26 (1977) 225-274 Moduli of vector bundles on curves with parabolic structures, Bulletin of the Amer. Math. Soc., 83 (1977), 124-126 Desingularisation of the moduli varieties of vector bundles on curves, Proc. Tokyo Symposium on Algebraic Geometry (1977), 155-184 with T. Oda, Compactifications of the generalised Jacobian variety, Trans. Amer. Math. Soc. Vol. 253 (1979), 1-90 with V. B. Mehta, Moduli of vector bundles on curves with parabolic structures, Math. Ann. 228 (1980), 205-239 with V. Balaji, Cohomology of a moduli space of vector bundles, The Grothendieck Festschrift, Volume 1, Birkhauser, 87-120 with V. Balaji, Poincaré polynomials of some moduli varieties, Algebraic Geometry and Analytic Geometry, Springer Verlag (1991) 1-25 Vector bundles on curves, Contemporary Mathematics, Volume 153 (1993), 163-200 with D. S. Nagaraj, Degenerations of the moduli spaces of vector bundles on curves I, Proc. Indian Acad. Sci. (Math. Sci.) 107 (1997), 101-137 with D. S. Nagaraj, Degenerations of the moduli spaces of vector bundles on curves II, Proc. Indian Acad. Sci. (Math. Sci.) 109, No. 2 (1999), 165-201 Degenerations of the moduli spaces of vector bundles on curves, ICTP Lecture Notes 1 (2000), 205-265 with V. Balaji, Semistable principal bundles-I, Journals of Algebra, 258 (2002), 321-347 Geometric reductivity (Mumford's Conjecture)-revisited, Contemporary Mathematics, Volume 390 (2005), 137-145 with P. Sastry, Geometric Reductivity: A quotient space approach, Journals of the Ramanujan Math. Soc. (to appear in 2011) Volume 2: Schubert Geometry and Representation Theory Standard Monomial Theory: A Historical Account with V. Lakshmibai and C. Musili, Coomology of line bundles on $$G/B$$, Annales Scientifiques de l'É.N.S, 4 Series (1974), 89-138 Correction to Cohomology of line bundles on $$G/B$$', Annales Scientifiques de l'É.N. S, 4 Series (1974) Cohomology of line bundles on $$SL_3/B$$ (unpublished), Talk given at the Institute for Advanced Study (1976) Geometry of $$G/P$$-I (Theory of standard monomials for minuscule representation), C. P. Ramanujam - A Tribute, TIFR Publication (1978), 207-239 with with V. Lakshmibai, Geometry of $$G/P$$-II (The work of De Concini and Procesi and the basic conjectures), Proc. Indian Acad. Sci., 87 A, No. 2 (1978), 1-54 with V. Lakshmibai and C. Musili, Geometry of $$G/P$$-III (Standard Monomial Theory for a quasi-minuscule P), Proc. Indian Acad. Sci., Vol. 87 A (1979), 93-177 with V. Lakshmibai and C. Musili, Geometry of $$G/P$$-IV (Standard Monomial Theory classical types), Proc. Indian Acad. Sci., Vol. 88 A (1979), 279-362 with V. Lakshmibai and C. Musili, Geometry of $$G/P$$, Bulletin of the Amer. Math. Soc. Vol. 1 (1979), 432-435 with C. Musili, Standard Monomial Theory, Lecture Notes in Mathematics, Springer Verlag No. 867, 441-476 with C. Musili, Schubert varieties and the variety of complexes, Volume dedicated to Prof. Shafarevich on his 60th birthday, Birkhauser, 329-359 with V. Lakshmibai, Singular locus of a Schubert Variety, Bulletin of the Amer. Math. Soc. (1984), 363-366 Line bundles on Schubert varieties, International Colloquium on `Vector bundles on algebraic varieties', TIFR (1984) with V. Lakshmibai, Geometry of $$G/P$$-V, Journal of Algebra, Vol. 100 (1986), 462-557 The work of P. Littelmann and Standard Monomial Theory, Recent Trends in Mathematics and Physics: A Tribute to Harish Chandra, Narosa (1995), 178-197 with P. Littelmann, A Pieri-Chevalley type formula for $$K(G/B)$$ and Standard Monomial Theory, Studies in Memory of Issai Schur, Birkhauser (2003), 155-176 Chevalley: Some Reminiscences, Transformation Groups, No. 2-3, (1999), 119-125 George Kemph (unpublished) M. S. Narasimhan, Collected Papers, Hindustan Book Agency (2009)