Time: 14:00, Friday, 3/6/2022

Join Zoom Meeting

https://us02web.zoom.us/j/89603210669?pwd=dDJyYnJHd3A5WlR1cFFkRUlYa3loUT09

Meeting ID: 896 0321 0669

Passcode: 340252

Abstract: For many classical varieties such as Segre-Veronese embeddings, rational normal scrolls and curves of high degree, the defining homogeneous ideal can be generated by quadratic polynomials of rank 3 and 4. In this talk, I will speak about the question whether those ideals can be generated by quadratic polynomials of rank 3. We prove that the ideal of the Veronese variety has this property and explain the geometric structure of the rank 3 locus as a projective algebraic set.

For general information of the AGEA seminar, please check out

https://sites.google.com/ncts.ntu.edu.tw/agea-seminar

or the mirror site

http://www.math.ntu.edu.tw/~jkchen/agea-seminar.htm