Collected Papers of C S Seshadri (Volume 1 and 2)

Name: Collected Papers of C S Seshadri (Volume 1 and 2)
Author: Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori
ISBN: 9789380250175

Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori

Idioma: inglés

Editorial: Hindustan Book Agency, 2011

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Contents Vol 1 Vector Bundles and Invariant Theory Preface Curriculum Vitae of C S Seshadri Acknowledgements 1 V Balaji and V Lakshmibai CS Seshadris 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 211957 149-175 4 Triviality of vector bundles over the affine space K2 Proc Nat Aca Sci USA 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 dune variete complete Annali di MatItaly IV Vol LVII 1962 117-142 10 On a theorem of Weitzenbock in invariant theory J Math Kyoto Univ 1 No3 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 MS Narasimhan Holomorphic vector bundles on a compact Riemann surface Math Ann 155 1964 69-80 14 with MS Narasimhan Stable bundles and unitary bundles on a compact Riemann surface Proc Nat Acad Soc 52 1964 207-211 15 with MS 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 Mumfords conjecture for GL2 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 CIME Varenna 1969 139-261 20 Quotient spaces modulo reductive algebraic groups Annals of Math 95 No3 1972 511-556 21 Errata to Quotient spaces modulo reductive algebraic groups Annals of Math Vol96 1972 p599 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 Vol253 1979 1-90 27 with VB 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 DS Nagaraj Degenerations of the moduli spaces of vector bundles on curves I Proc Indian Acad Sci Math Sci 107 1997 101-137 32 with DS Nagaraj Degenerations of the moduli spaces of vector bundles on curves II Proc Indian Acad Sci Math Sci 109 No2 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 bundlesI Journal of Algebra 258 2002 321-347 35 Geometric reductivity Mumfords 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 Vol 2 Schubert Geometry and Representation Theory Preface Curriculum Vitae of C S Seshadri 1 Standard Monomial Theory A Historical Account 2 with V Lakshmibai & C Musili Cohomology of line bundles on GB Annales Scientifiques de lENS 4 Series 1974 89-138.…

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Título: Collected Papers of C S Seshadri (Volume 1 and 2)
Autor: Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori
Editorial: Hindustan Book Agency
Año de publicación: 2011
Encuadernación: Encuadernación de tapa blanda
Idioma: inglés
ISBN 10: 9380250177
ISBN 13: 9789380250175

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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Reseña del editor

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 ContentsVolume 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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