[Turkmath:5467] Symbolic Computation Istanbul Meetings (SCIM) - March 4

[Türkü Özlüm Çelik]

Dear all,

This week, SCIM will host Mesut Şahin from Hacettepe University.
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.

-------------------------------------------------------------------------------------------------
*Time:* March 4, 2022; 17:00
*Place:* Istanbul Matematiksel Bilimler Merkezi & Zoom

*Title:* Rational points of lattice ideals on a toric variety and toric
codes

*Abstract:* We begin by introducing basic notions about algebraic geometric
codes obtained from evaluating rational functions on K-rational points of a
toric variety, where K is a field with q elements. Then, we get more
technical and exhibit some results on computing the number of K-rational
points cut out by a lattice ideal via Smith normal form of the matrix whose
columns constitute a basis of the lattice. We also share a Nullstellensatz
type theorem over K establishing a one to one correspondence between
subgroups of the dense split torus and certain homogeneous lattice ideals.
Time permitting, we give formulas for the main parameters of toric codes on
subgroups of the torus of Hirzebruch surfaces.
--------------------------------------------------------------------------------------------------
*Zoom link: *
https://sfu.zoom.us/j/64536080348?pwd=cGZURkY2TDVBaXM5VW1JWTZXOHVyQT09

*Meeting ID:* 645 3608 0348
*Password:* scimtalk

Best wishes,
Türkü
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20220302/5a737591/attachment.html>