Семинары: V. N. Rubtsov, Towards a theory of homotopy structures for differential equations: First definitions and examples. Part 2

СЕМИНАРЫ


Когомологические аспекты геометрии дифференциальных уравнений 8 января 2025 г. 19:20, г. Москва, онлайн, ссылку для участия можно получить по почте seminar@gdeq.org

Towards a theory of homotopy structures for differential equations: First definitions and examples. Part 2

V. N. Rubtsov

Аннотация: We define $A_\infty$-algebra structures on horizontal and vertical cohomologies of (formally integrable) partial differential equations.
Since higher order $A_\infty$-algebra operations are related to Massey products, our observation implies the existence of invariants for differential equations that go beyond conservation laws.
We also propose notions of formality for PDEs, and we present examples of formal equations.

Язык доклада: английский

Website: https://doi.org/10.1016/j.jde.2024.08.057

Цикл докладов

Towards a theory of homotopy structures for differential equations: First definitions and examples. Part 1
V. N. Rubtsov, 18 декабря 2024 г. 19:20
Towards a theory of homotopy structures for differential equations: First definitions and examples. Part 2
V. N. Rubtsov, 8 января 2025 г. 19:20