Enumerative geometry and geometric representation theory
Andrei Okounkov
TL;DR
This paper introduces the interplay between enumerative geometry of rational curves in symplectic resolutions and geometric representation theory, highlighting their interconnected structures and recent developments.
Contribution
It provides an introductory overview linking enumerative geometry with geometric representation theory in the context of symplectic resolutions.
Findings
Connections between rational curves and representation theory structures
Insights into equivariant symplectic resolutions
Foundational concepts for further research in the field
Abstract
This is an introduction to: (1) the enumerative geometry of rational curves in equivariant symplectic resolutions, and (2) its relation to the structures of geometric representation theory. Written for the 2015 Algebraic Geometry Summer Institute.
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
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory