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Texas A&M University
Mathematics

Geometry Seminar

Date: March 24, 2023

Time: 4:00PM - 5:00PM

Location: BLOC 506A

Speaker: H, Keneshlou, U. Konstanz

  

Title: The construction of regular maps to the Grassmannian

Abstract: A continuous map f : C^n −→ C^N is called k-regular, if the image of any k distinct points in C^N 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 C^n −→Gr(τ, C^N ). 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.