Singular vectors in affine subspaces

Orateur:
Shreyasi DATTA
Localisation:
Type: Online Seminar in Diophantine Approximation and Related Topics
Site: N/A
Salle:
Zoom
Date de début:
22/11/2022 - 14:00
Date de fin:
22/11/2022 - 15:00

Singular vectors play a crucial role in the study of Diophantine approximation. I want to discuss about the inheritance of the measure zero property of the set of singular vectors in R^n. I will also talk about a sufficient and necessary condition on hyperplanes such that almost all vectors in the hyperplanes are not singular.

On a slightly different direction I want to briefly talk about about some simple yet surprising results on ψ-Dirichlet numbers and singular vectors in function field. The talk will be based on joint works with Yewei Xu.