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1-2-3 Seminar: An Introduction to D-Modules Without Algebraic Geometry

Haocheng Cai, University of Washington
Monday, May 1, 2023 - 4:00pm to 4:50pm
PDL C-401

The theory of D-modules, developed in the 1970s, is renowned for its success in proving many significant theorems, including the Riemann Hilbert correspondence. In this presentation, I will introduce the foundational object in the theory of D-modules: the nth Weyl algebra. By treating it as a ring of differential operators on the polynomial ring, we will explore its properties and establish the connection between modules over the Weyl algebra (D-modules) and systems of partial differential equations. While a familiarity with partial derivatives is necessary, knowledge of partial differential equations is not required for understanding.

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