Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory
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negut-negut.pdf
Description
Accepted version
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415.89 KB
Format
Adobe PDF
Checksum (MD5)
33ff6e4ee5ed970ee5aeb81942b29d63
Author(s)
Neguţ, A
Date Issued
2019
Publisher
Springer International Publishing
Citation
Neguţ, A. 2019. "Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory." 2248.
Version
Author's final manuscript
Abstract
© Springer Nature Switzerland AG 2019. In modern terms, enumerative geometry is the study of moduli spaces: instead of counting various geometric objects, one describes the set of such objects, which if lucky enough to enjoy good geometric properties is called a moduli space. For example, the moduli space of linear subspaces of 𝔸n is the Grassmannian variety, which is a classical object in representation theory. Its cohomology and intersection theory (as well as those of its more complicated cousins, the flag varieties) have long been studied in connection with the Lie algebras 𝔰 𝔩 n.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-030-26856-5_2
