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Over the past fifty years, C.S. Seshadri has been a towering figure
in the mathematical horizon, and his contributions have been
central to the development of moduli problems and geometric
invariant theory as well as representation theory of algebraic
groups. The two volumes of the collected papers have been organised
in accordance with the subject matter, reflecting faithfully the
diversity of his mathematical contributions. 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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