A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory

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Front Matter ....Pages i-xxxii The early work of Seshadri (S. Ramanan)....Pages 1-5 Geometry of Moduli Spaces (The work of C.S.Seshadri) (V. Balaji)....Pages 6-15 Seshadri’s Contributions to Moduli and Geometric Invariant Theory (Vikram B. Mehta)....Pages 16-19 Seshadri’s work on moduli spaces - The case of singular curves (D. S. Nagaraj)....Pages 20-27 Parabolic Bundles (Nitin Nitsure)....Pages 28-33 Seshadri’s Work on Flag & Schubert Varieties (V. Lakshmibai, C. Musili)....Pages 34-41 Seshadri and the Chennai Mathematical Institute (K. R. Nagarajan)....Pages 42-46 C.S. Seshadri’s impact on education: A Computer Scientist’s Perspective (Madhavan Mukund)....Pages 47-48 CMI’s Undergraduate Programme and NBHM (M. S. Raghunathan)....Pages 49-50 Translates of Polynomials (Shreeram S. Abhyankar, William J. Heinzer, Avinash Sathaye)....Pages 51-124 Orbits of Certain Endomorphisms of Nilmanifolds and Hausdorff Dimension (C. S. Aravinda, P. Sankaran)....Pages 125-132 A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field (V. Arvind, K. R. Parthasarathy)....Pages 133-153 Principal bundle, parabolic bundle, and holomorphic connection (Indranil Biswas)....Pages 154-179 The cone of effective one—cycles of certain G—varieties (Michel Brion)....Pages 180-198 Representations of double affine lie algebras (Vyjayanthi Chari, Thang Le)....Pages 199-219 Poincaré series of line bundles on varieties (Steven Dale Cutkosky)....Pages 220-240 Triple Canonical Covers of Varieties of Minimal Degree (Francisco Javier Gallego, Bangere P. Purnaprajna)....Pages 241-270 Semistability and Semisimplicity in representations of low height in positive characteristic (S. Ilangovan, V. B. Mehta, A. J. Parameswaran)....Pages 271-282 The Development of Standard Monomial Theory-II (V. Lakshmibai)....Pages 283-309 Maximal Subbundles and Gromov-Witten Invariants (H. Lange, P. E. Newstead)....Pages 310-322 Bases for representations, LS-paths and Verma flags (P. Littelmann)....Pages 323-345 Invariant Tensor Fields and Orbit Varieties for Finite Algebraic Transformation Groups (Mark Losik, Peter W. Michor, Vladimir L. Popov)....Pages 346-378 Generators of a general ideal (M. Pavaman Murthy)....Pages 379-384 The Development of Standard Monomial Theory-I (C. Musili)....Pages 385-420 Measures on the Circle invariant under z → z2 and Z → z3 (M. G. Nadkarni)....Pages 421-427 Affine Hecke Algebras, Cyclotomic Hecke algebras and Clifford Theory (Arun Ram, Jacqui Ramagge)....Pages 428-466 The Helgason Fourier Transform for Symmetric spaces (Rudra P. Sarkar, Alladi Sitaram)....Pages 467-473 On representations of special orthogonal groups over fields of positive characteristics (S. Senthamarai Kannan, K. V. Subrahmanyam)....Pages 474-499 Equivariant Analogue of Grothendieck’s Theorem for Vector Bundles on ℙ1 (Shrawan Kumar)....Pages 500-501 Vector Bundles and Connections in Physics and Mathematics: Some Historical Remarks (V. S. Varadarajan)....Pages 502-541