Sheaves of AV-modules over projective varieties

Abstract: AV-modules are representations of Lie algebra V of vector fields that admit a compatible action of the commutative algebra A of functions. This notion is a natural generalization of D-modules. In this talk we shall start by reviewing the theory of AV-modules over smooth irreducible affine varieties. When variety X is projective, it is necessary to consider sheaves of AV-modules. We describe associative algebras that control the category of AV-modules, and construct a functor from the category of strong representations of Lie algebra of jets of vector fields to the category of AV-modules. This talk is based on the joint work with Colin Ingalls, as well as the work of Emile Bouaziz and Henrique Rocha.

MathematicsPhysics

Audience: researchers in the topic

Comments: Meeting ID: 925 4420 8640 Passcode: 123089

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Representations of Lie Superalgebras and Related Topics

Series comments: ● Important Dates • Registration Opening: July 26, 2023 (Mordad 04, 1402) • Registration Deadline: August 28, 2023 (Shahrivar 06, 1402)

● Contact: Asghar Daneshvar, * Email: a[dot]daneshvar[at]ipm[dot]ir * If you have any questions or problems related to the conference or the registration form, please contact the email address above.

Plenary Speakers:

• Drazen Adamovic, University of Zagreb, Croatia

• Yuly Billig, University of Carleton, Canada

• Alberto Elduque, University of Zaragoza, Spain

• Dimitar Grantcharov, University of Texas at Arlington, United States of America

• Li Luo, East China Normal University, China

• Volodymyr Mazorchuk, Uppsala university, Sweden

• Jakob Palmkvist, Orebro University, Sweden

• Jinwei Yang, Shanghai Jiaotong University, China

• Kaiming Zhao, Wilfrid Laurier University, Canada

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