Speaker: Vladislav Taranchuk (University of Delaware)
Abstract: Over the past few decades, algebraically defined graphs have gained a lot of attention due to their applications to Turán type problems in graph theory and their connections to finite geometries. In this talk, we discuss how the algebraically defined graphs have been used to tackle a long-standing question regarding the existence of new generalized quadrangles. Furthermore, we demonstrate a new family of algebraically defined graphs whose existence implies that there are potentially many new families of graphs yet to be studied that may provide a new generalized quadrangle.
This talk is based on joint work with Felix Lazebnik (University of Delaware).