27 апреля 2023 г.

Geometric theory of optimal control

Расписание: 

четверг, 16:45

Room number: 

Семинар проходит онлайн, в zoom, https://us06web.zoom.us/j/84704253405?pwd=M1dBejE1Rmp5SlUvYThvZzM3UnlvZz09

Докладчик: 

Samuël Borza
SISSA

Название: 

Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry

Аннотация доклада: 

In Riemannian geometry, a theorem originally due to Morse and Littauer states that the exponential map fails to be injective in any neighbourhood of a conjugate vector. Warner also provided an alternative proof of this result by studying some regularity properties and the normal forms of the exponential map. We will discuss a generalisation of these approaches to the sub-Riemannian exponential map and their consequences on the regularity of the sub-Riemannian conjugate locus, as well as on the nature of conjugate points in metric geometry.