Дата: 25.03.2025 г., 14:00 ч.

Място: Зала 403, ИМИ – БАН

Докладчик: Михаил Школников, ИМИ – БАН

Доклад: Affine distance function

Допълнителна информация: https://icms.bg/category/icms-seminar/

Резюме. Affine geometry is sometimes described as “what remains of Euclidean geometry when distances are forgotten”. In this talk, I will report on a very recent discovery of an affine-invariant notion, which may be viewed as a distance from a point inside a convex domain to its boundary. This new concept stems from a suggestion of Conan Leung, who proposed to average the canonical tropical series, a fundamental notion of tropical optics, over the manifold of all tropical structures of fixed covolume on the given affine space. Very little of what we (Nikita Kalinin, Ernesto Lupercio and me) currently know, as well as necessary preliminaries, some observations and precise conjectures, will be covered during the talk, which mainly serves as an invitation to participate in developing this exciting new topic.