Microlocal Approach to Lusztig’s Symmetries

Michael Finkelberg; Vadim Schechtman

doi:10.1007/978-3-030-82007-7_3

Microlocal Approach to Lusztig’s Symmetries

Michael Finkelberg^*
, Vadim Schechtman

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We reformulate the De Concini-Toledano Laredo conjecture about the monodromy of the Casimir connection in terms of a relation between Lusztig’s symmetries of quantum group modules and the monodromy in the vanishing cycles of factorizable sheaves.

Original language	English
Title of host publication	Trends in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	57-83
Number of pages	27
DOIs	https://doi.org/10.1007/978-3-030-82007-7_3
State	Published - 2022
Externally published	Yes

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Bibliographical note

Publisher Copyright:
© 2022, Springer Nature Switzerland AG.

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10.1007/978-3-030-82007-7_3

Cite this

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abstract = "We reformulate the De Concini-Toledano Laredo conjecture about the monodromy of the Casimir connection in terms of a relation between Lusztig{\textquoteright}s symmetries of quantum group modules and the monodromy in the vanishing cycles of factorizable sheaves.",

author = "Michael Finkelberg and Vadim Schechtman",

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year = "2022",

doi = "10.1007/978-3-030-82007-7\_3",

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AB - We reformulate the De Concini-Toledano Laredo conjecture about the monodromy of the Casimir connection in terms of a relation between Lusztig’s symmetries of quantum group modules and the monodromy in the vanishing cycles of factorizable sheaves.

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Microlocal Approach to Lusztig’s Symmetries

Abstract

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