25 open questions about vector bundles and their moduli
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar
TL;DR
This paper presents 25 open questions and discusses longstanding conjectures related to moduli spaces of vector bundles, aiming to inspire further research in this mathematical area.
Contribution
It compiles and highlights key open problems and conjectures in the study of vector bundle moduli spaces, serving as a research guide.
Findings
Identification of 25 key open questions
Discussion of longstanding conjectures
Encouragement for new research efforts
Abstract
We present 25 open questions about moduli spaces of vector bundles and related topics and discuss some longstanding conjectures. We hope to inspire young researchers to engage in this area of research.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology