Mathematik und Statistik

KWIM & RGA Seminar: On the construction of regular maps to Grassmannians

Time
Friday, 3. February 2023
13:30 - 15:00

Location
F426

Organizer
Prof. Mateusz Michalek

Speaker:
Dr. Hanieh Keneshlou

A continuous map f : Cn → CN is called k-regular, if the image of any k distinct points in CN are linearly independent. The study of existence of regular map was initiated by Borusk 1957, and later attracted attention due to its connection with the existence of interpolation spaces in approximation theory, and certain inverse vector bundles in algebraic topology.

In this talk, based on a joint work with Joachim Jelisiejew, we consider the general problem of the existence of regular maps to Grassmannians Cn → Gr(τ,CN). We will discuss the tools and methods of algebra and algebraic
geometry to provide an upper bound on N , for which a regular map exists.