Analytic and Algebraic Geometry

Contents: 1. On the Bumpy Fundamental Group Scheme/Marco Antei.  2. Heat Kernels, Bergman Kernels, and Cusp Forms/Anilatmaja Aryasomayajula. 3. On a Conjecture of Butler/Usha N. Bhosle. 4. A Survey of Low Dimensional (Quasi) Projective Groups/Indranil Biswas and Mahan Mj. 5. Parabolic Sheaves and Logarithmic Geometry/Niels Borne. 6. A Survey of Ulrich Bundles/Emre Coskun. 7. Noether-Lefschetz Locus and a Special Case of the Variational Hodge Conjecture: Using Elementary Techniques/Ananyo Dan. 8.Tangent Bundle of P2 and Morphism from P2 to Gr(2;C4)/A. El Mazouni and D.S. Nagaraj.9. Twisting by a Torsor/Michel Emsalem. 10. Hitchin Hamiltonians in Genus 2/Viktoria Heu and Frank Loray. 11. Smoothness of Moduli Space of Stable Torsion-free Sheaves with Fixed Determinant in Mixed Characteristic/Inder Kaur. 12. Group Compactifications and Moduli Spaces/Johan Martens. 13. The Serre-Swan Theorem for Ringed Spaces/Archana S. Morye. 14. An Extension Theorem for Hermitian Line Bundles/Georg Schumacher. 15. Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3/Tathagata Sengupta.

This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of Analytic and Algebraic Geometry. This volume attempts to give recent developments in the area to target mainly young researchers, who are new to this area. Also some research articles have been added to give examples of how to use these techniques to prove new results. (jacket)