Moduli, Motives and Bundles

Pedro L. del Angel R. is Professor at the Centro de Investigación en Matemáticas (CIMAT). His research is in algebraic geometry, especially Hodge Theory and algebraic cycles. Frank Neumann is Professor at the University of Pavia. His research is in algebraic topology and algebraic geometry and interactions with number theory and mathematical physics. Alexander H. W. Schmitt is Professor at Freie Universität Berlin. He is best-known for his work on moduli spaces of decorated principal bundles. He is the author of 'Geometric Invariant Theory and Decorated Principal Bundles' (2008).

• Preface; 1. On the stack of 0-dimensional coherent sheaves: structural aspects Barbara Fantechi and Andrea T. Ricolfi; 2. Three lectures on quadratic enumerative geometry Marc Levine; 3. Flat torsors in complex geometry Juan Sebastián Numpaque-Roa and Florent Schaffhauser; 4. Universal chern classes on the moduli of bundles Donu Arapura; 5. Linear stability of coherent systems and applications to Butler's conjecture Abel Castorena, George H. Hitching, and Erick Luna; 6. A Kobayashi-Hitchin correspondence for general coherent systems Cesare Goretti; 7. On the injectivity and non-injectivity of the l-adic cycle class maps Bruno Kahn; 8. A primer on zeta functions and decomposition spaces Andrew Kobin; 9. Atiyah-Bott localization in equivariant Witt cohomology Marc Levine; 10. Base loci, semiampleness, and parallelizable manifolds Ernesto C. Mistretta; 11. Recent developments on compactifications of stacks of shtukas Tuan Ngo Dac and Yakov Varshavsky; 12. A common generalisation of the André-Oort and André-Pink-Zannier conjectures Rodolphe Richard and Andrei Yafaev.