Moduli, Motives and Bundles

The present volume features contributions from the 2022 BIRS-CMO workshop ‘Moduli, Motives and Bundles – New Trends in Algebraic Geometry’ held at the Casa Matemática Oaxaca (CMO), in partnership with the Banff International Research Station for Mathematical Innovation and Discovery (BIRS). The first part presents overview articles on enumerative geometry, moduli stacks of coherent sheaves, and torsors in complex geometry, inspired by related mini course lecture series of the workshop. The second part features invited contributions by experts on a diverse range of recent developments in algebraic geometry, and its interactions with number theory and mathematical physics, offering fresh insights into this active area. Students and young researchers will appreciate this text’s accessible approach, as well as its focus on future research directions and open problems.

Author Biography

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).