[Turkmath:5531] Symbolic Computation Istanbul Meetings (SCIM) - April 1

[Türkü Özlüm Çelik]

Dear all,

This is to invite you to our upcoming SCIM talk.
The talk will be accessible also via zoom for online participation.

You may find the details of the talk below.
For further details and registration (required if you plan to attend
in person) please check https://alcyon-lab.gitlab.io/lab/scim.html.

*Speaker:* Bilge Şipal (Afiniti)
*Time:* April 1, 2022; 17:00 (Istanbul)
*Place:* Istanbul Matematiksel Bilimler Merkezi & Zoom

*Title:* Border Bases and Border Basis Schemes
*Abstract: *The basic idea of border basis theory is to describe a
zero-dimensional
quotient ring by an order ideal of terms O whose residue classes form
a K-vector space basis of that ring. In this talk, we compare Grobner Bases
with Border Bases and discuss the advantages of Border Bases. We then
introduce
Border basis schemes which are schemes that parametrize all
zero-dimensional
ideals that have an O-border basis. If an order ideal O with μ elements is
defined in a two dimensional polynomial ring and it is of some special
shapes,
then the O-border basis scheme is isomorphic to the affine space A^{2μ}.

We present a general condition for an O-border basis scheme to be
isomorphic
to an affine space that is independent of the shape of the order ideal and
the dimension of the polynomial ring that the order ideal is defined in.

(For the references of the abstract, please see the attached file.).

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Zoom link:
https://sfu.zoom.us/j/64536080348?pwd=cGZURkY2TDVBaXM5VW1JWTZXOHVyQT09

Meeting ID: 645 3608 0348
Password: scimtalk

Best wishes,
Türkü
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