Session S07 - Differential operators in algebraic geometry and commutative algebra

Friday, July 16, 12:30 ~ 13:00 UTC-3

Bernstein's inequality and holonomicity for certain singular rings

Josep Àlvarez Montaner

Universitat Politècnica de Catalunya, Spain   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly F-regular finitely generated graded algebras with FFRT in prime characteristic.

Joint work with Daniel J. Hernández (University of Kansas, USA), Jack Jeffries (University of Nebraska-Lincoln, USA), Luis Núñez-Betancourt (CIMAT , Mexico), Pedro Teixeira (Knox College, USA) and Emily E. Witt (University of Kansas, USA).

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