Talk
Introduction to Algebraic Analysis
Abstract
Subscription
Subscription to the mailing list is also possible by sending an email with subject "subscribe" and empty email body to lecture24annalaura-join@mis.mpg.de
Next lectures
09.12.2024, 13:30 (G3 10 (Lecture hall))
12.12.2024, 11:00 (G3 10 (Lecture hall))
16.12.2024, 13:30 (G3 10 (Lecture hall))
19.12.2024, 11:00 (G3 10 (Lecture hall))
Algebraic analysis investigates linear PDEs and their solution functions by algebraic methods. The main actor is the Weyl algebra, denoted D. It is a non-commutative ring that gathers linear differential operators with polynomial coefficients. The theory of D-modules provides deep classification results of linear PDEs, structural insights into problems in the sciences, as well as new computational tools. Functions that can be encoded by an annihilating D-ideal are called holonomic, and these are ubiquitous in the sciences.
The course is hands-on: the focus lies on the introduction of concepts from algebraic analysis and utilizing them for solving problems arising in applications, such as a systematic study of Feynman integrals from particle physics.
