GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES

We give a brief overview of recent developments on the calculation of generating series for invariants of external products of suitable coefficients (e.g., constructible or coherent sheaves, or mixed Hodge modules) on complex quasi-projective varieties.

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Main Author: Laurentiu George Maxim
Format: Article
Language:English
Published: Dalat University 2021-11-01
Series:Tạp chí Khoa học Đại học Đà Lạt
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Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/845
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author Laurentiu George Maxim
author_facet Laurentiu George Maxim
author_sort Laurentiu George Maxim
collection DOAJ
description We give a brief overview of recent developments on the calculation of generating series for invariants of external products of suitable coefficients (e.g., constructible or coherent sheaves, or mixed Hodge modules) on complex quasi-projective varieties.
format Article
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institution Kabale University
issn 0866-787X
language English
publishDate 2021-11-01
publisher Dalat University
record_format Article
series Tạp chí Khoa học Đại học Đà Lạt
spelling doaj-art-d7ea24c6b01b4d2eb428a405f2096e012025-02-02T05:35:56ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2021-11-0141810.37569/DalatUniversity.12.2.845(2022)607GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIESLaurentiu George Maxim0University of Wisconsin - MadisonWe give a brief overview of recent developments on the calculation of generating series for invariants of external products of suitable coefficients (e.g., constructible or coherent sheaves, or mixed Hodge modules) on complex quasi-projective varieties.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/845characters of representationsexternal and symmetric productsgenerating seriessymmetric groupssymmetric monoidal categoryschur functor.
spellingShingle Laurentiu George Maxim
GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
Tạp chí Khoa học Đại học Đà Lạt
characters of representations
external and symmetric products
generating series
symmetric groups
symmetric monoidal category
schur functor.
title GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
title_full GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
title_fullStr GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
title_full_unstemmed GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
title_short GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
title_sort geometry and topology of external and symmetric products of varieties
topic characters of representations
external and symmetric products
generating series
symmetric groups
symmetric monoidal category
schur functor.
url https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/845
work_keys_str_mv AT laurentiugeorgemaxim geometryandtopologyofexternalandsymmetricproductsofvarieties