Dear Colleagues, 

You are most cordially invited to Yeditepe Mathematics Department 25th Year Seminars organized by the Department of Mathematics. The details of this week's talk are as follows.

Speaker: Cihan Okay (Bilkent University)

Topic: Homotopy classification of operator solutions of linear systems

Abstract: Linear systems of equations over a finite field play an important role in quantum information theory. Instead of looking for solutions over the base field one can look for solutions (in a certain sense) over the unitary group, which are called operator solutions. The data of this system of equations can be expressed using a hypergraph and the operator solutions can be studied from a topological point of view by considering certain topological realizations of these hypergraphs. In this talk I will describe how homotopical methods provide a way to classify operator solutions of linear systems. Our basic approach is to interpret operator solutions as maps from a topological realization of the hypergraph to a certain classifying space first introduced by Adem-Cohen-Torres Giese.

Date:  November 5, 2021, Friday

Time: 16:00

Zoom: Zoom:  Contact Asst. Prof. Dr. Mehmet Akif ERDAL (mehmet.erdal@yeditepe.edu.tr) for the address.

You can find a copy of the flyer via this link. For a full list of this semester's seminar schedule, click on the link below!

https://researchseminars.org/seminar/7tepemathseminars