These volumes will achieve the objective of inspiring future generations of mathematicians and provide insights into the unique mathematical personality of C.S. Seshadri.
Table of Contents
Volume 1: Vector Bundles and Invariant Theory
Preface
Curriculum Vitae of C S Seshadri
List of Publications
Acknowledgements
1. V. Balaji and V. Lakshmibai, C.S. Seshadri's work on vector bundles and invariant theory
2. David Gieseker and Jun Li, Non-abelian Jacobians and gauge theory
3. Generalised multiplicative meromorphic functions on a complex analyticmanifold Jour. Ind. Math. Soc., 21(1957), 149-175.
4. Triviality of vector bundles over the affine space K2, Proc. Nat. Aca. Sci., U.S.A. 44 (1958), 456-458.
5. L' operation de Cartier: Applications, Seminaire C. Chevalley, 3e annee, 1958-1959.
6. Diviseurs en geometrie algebrique, Seminaire C. Chevalley, 3e annee, 1958-1959.
7. Diviseurs en geometrie algebrique (Suite), Seminaire C. Chevalley, 3e annee, 1958-1959.
8. Algebraic vector bundles over the product of an a ne curve and the afffine line, Proc. Amer. Math. Soc. 10 (1959), 670-673.
9. Variete de Picard d'une variete complete, Annali di Mat.Italy IV, Vol. LVII (1962), 117-142.
10. On a theorem of Weitzenbock in invariant theory, J. Math, Kyoto Univ. 1, No.3, (1962), 403-409.
11. Some results on the quotient space by an algebraic group of automorphisms, Math. Annalen, 149 (1963), 286-301.
12. Quotient space by an Abelian variety, Math. Annalen, 152 (1963), 185-194.
13. (with M.S. Narasimhan) Holomorphic vector bundles on a compact Riemann surface, Math. Ann., 155 (1964), 69-80.
14. (with M.S. Narasimhan) Stable bundles and unitary bundles on a compact Riemann surface, Proc. Nat. Acad. Soc., 52 (1964), 207-211.
15. (with M.S. Narasimhan) Stable bundles and unitary vector bundles on a compact Riemann surface, Annals of Math., 82 (1965), 540-567.
16. Universal property of the Picard variety of a complete variety, Math. Ann., 156 (1965), 293-296.
17. Space of unitary vector bundles on a compact Riemann surface, Annals of Math., 85 (1967), 303-335.
18. Mumford's conjecture for GL(2) and applications, Proc. Intern. Colloquium on Algebraic Geometry, Bombay (1968), 347-371.
19. Moduli of vector bundles over an algebraic curve, Questions On algebraic Varieties, C.I.M.E, Varenna, (1969), 139-261.
20. Quotient spaces modulo reductive algebraic groups, Annals. of Math., 95, No.3 (1972) 511-556.
21. Errata to `Quotient spaces modulo reductive algebraic groups', Annals. of Math. Vol.96, (1972), p.599.
22. Theory of moduli, Proc. Symp. in Pure Mathematics, Algebraic Geometry, Arcata, 1974, Amer. Math. Soc. (1975), 265-304.
23. Geometric reductivity over arbitrary base, Advances in Maths., 26 (1977) 225-274.
24. Moduli of vector bundles on curves with parabolic structures, Bulletin of the Amer. Math. Soc., 83 (1977) 124-126.
25. Desingularisation of the moduli varieties of vector bundles on curves, Proc. Tokyo Symposium on Algebraic Geometry, (1977), 155-184.
26. (with T. Oda), Compactications of the generalized Jacobian variety, Trans. Amer. Math. Soc. Vol.253, (1979), 1-90.
27. (with V.B. Mehta), Moduli of vector bundles on curves with parabolic structures, Math. Ann. 228 (1980) 205-239.
28. (with V. Balaji), Cohomology of a moduli space of vector bundles, The Grothendieck Festschrift, Volume 1, Birkhauser, 87-120.
29. (with V. Balaji) Poincare polynomials of some moduli varieties, Algebraic Geometry and Analytic Geometry, Springer Verlag (1991) 1-25.
30. Vector bundles on curves, Contemporary Mathematics, Volume 153 (1993), 163-200.
31. (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.
32. (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.
33. Degenerations of the moduli spaces of vector bundles on curves, ICTP Lecture Notes 1, (2000), 205-265.
34. (with V. Balaji), Semistable principal bundles{I, Journal of Algebra, 258, (2002), 321-347.
35. Geometric reductivity (Mumford's Conjecture) revisited, Contemporary Mathematics, Volume 390 (2005), 137-145.
36. (with P. Sastry) Geometric Reductivity: A quotient space approach, Journal of the Ramanujan Math. Soc., (to appear in 2011).
Volume 2: Schubert Geometry and Representation Theory
Preface
Curriculum Vitae of C S Seshadri
List of Publications
Acknowledgements
1. Standard Monomial Theory: A Historical Account
2. (with V. Lakshmibai & C. Musili) Cohomology of line bundles on G=B, Annales Scientifiques de l'E.N.S, 4 Series, (1974), 89-138.
3. Correction to `Cohomology of line bundles on G=B', Annales Scientifiques de l'E.N.S, 4 Series, (1974).
4. Cohomology of line bundles on SL3=B, (unpublished), Talk given at the Institute for Advanced Study, (1976).
5. Geometry of G=P{I (Theory of standard monomials for minuscule representation), C.P. Ramanujam { A Tribute, TIFR Publication, (1978), 207-239.
6. (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.
7. (with V. Lakshmibai & 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.
8. (with V. Lakshmibai & C. Musili), Geometry of G=P{IV (Standard Monomial Theory for classical types), Proc. Indian Acad. Sci., Vol. 88 A, (1979), 279-362.
9. (with V. Lakshmibai & C. Musili), Geometry of G=P, Bulletin of the Amer. Math. Soc. Vol 1, (1979), 432-435.
10. (with C. Musili) Standard Monomial Theory, Lecture Notes in Mathematics, Springer Verlag No. 867, 441-476.
11. (with C. Musili), Schubert varieties and the variety of complexes, Volume dedicated to Prof. Shafarevich on his 60th birthday, Birkhauser, 329-359.
12. (with V. Lakshmibai), Singular Locus of a Schubert Variety, Bulletin of the Amer. Math. Soc., (1984), 363-366.
13. Line bundles on Schubert varieties, International Colloquium on `Vector bundles on algebraic varieties', TIFR, (1984).
14. (with V. Lakshmibai), Geometry of G=P{V, Journal of Algebra, Vol. 100, (1986), 462-557.
15. The work of P. Littelmann and Standard Monomial Theory, Recent Trends in Mathematics and Physics: A Tribute to Harish Chandra, Narosa, (1995), 178-197.
16. (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.
17. Chevalley: Some Reminiscences, Transformation Groups, No.2-3, (1999), 119-125.
18. George Kempf (unpublished).
19. M.S.Narasimhan, Collected Papers, Hindustan Book Agency, (2009).
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