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  Hessenberg varieties, intersections of quadrics, and the Springer correspondence

Chen, T.-H., Vilonen, K., & Xue, T. (2020). Hessenberg varieties, intersections of quadrics, and the Springer correspondence. Transactions of the American Mathematical Society, 373(4), 2427-2461. doi:10.1090/tran/7934.

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 Creators:
Chen, Tsao-Hsien1, Author           
Vilonen, Kari1, Author           
Xue, Ting1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Mathematics, Representation Theory
 Abstract: We continue our study of the Springer correspondence in the case of symmetric
spaces initiated in our previous paper. In this paper we introduce a certain class of families of Hessenberg varieties and study their monodromy representations in detail in a special case when the Hessenberg varieties can be expressed in terms of complete intersections of quadrics. We obtain decompositions of these monodromy representations into irreducibles and compute the Fourier transforms of the IC complexes associated to these irreducible
representations.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
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 Rev. Type: Peer
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Title: Transactions of the American Mathematical Society
  Abbreviation : Trans. Amer. Math. Soc.
Source Genre: Journal
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Pages: - Volume / Issue: 373 (4) Sequence Number: - Start / End Page: 2427 - 2461 Identifier: -