Moduli, motives and bundles : new trends in algebraic geometry / edited by Pedro L. del Ángel R., Frank Neumann, Alexander H. W. Schmitt.

Format:

Book

Contributor:

Del Ángel R., Pedro L., editor.

Neumann, Frank (Mathematician), editor.

Schmitt, Alexander H. W., editor.

Series:

London Mathematical Society lecture note series ; 499.

London Mathematical Society lecture note series ; 499

Language:

English

Subjects (All):

Geometry, Algebraic.

Moduli theory.

Motives (Mathematics).

Physical Description:

1 online resource (x, 468 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge ; New York, NY : Cambridge University Press, 2026.

Summary:

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.

Contents:

On the stack of 0-dimensional coherent sheaves : structural aspects / Barbara Fantechi and Andrea T. Ricolfi

Three lectures on quadratic enumerative geometry / Marc Levine

Flat torsors in complex geometry / Juan Sebastián Numpaque-Roa and Florent Schaffhauser

Universal chern classes on the moduli of bundles / Donu Arapura

Linear stability of coherent systems and applications to Butler's conjecture / Abel Castorena, George H. Hitching, and Erick Luna

A Kobayashi-Hitchin correspondence for general coherent systems / Cesare Goretti

On the injectivity and non-injectivity of the l-adic cycle class maps / Bruno Kahn

A primer on zeta functions and decomposition spaces / Andrew Kobin

Atiyah-Bott localization in equivariant Witt cohomology / Marc Levine

Base loci, semiampleness, and parallelizable manifolds / Ernesto C. Mistretta

Recent developments on compactifications of stacks of shtukas / Tuan Ngo Dac and Yakov Varshavsky

A common generalisation of the André-Oort and André-Pink-Zannier conjectures / Rodolphe Richard and Andrei Yafaev.

Notes:

Title from publisher's bibliographic system (viewed on 31 Oct 2025).

ISBN:

1-009-49721-9

1-009-49720-0

OCLC:

1555345103