On the Quadratic Case of the Brown-Erdős–Sós Problem
组织者
马杰
, 本杰明·苏达科夫
演讲者
Oleg Pikhurko
时间
2026年05月12日 17:05 至 18:15
地点
Online
线上
Zoom 787 662 9899
(BIMSA)
摘要
In 1973, Brown, Erdős and Sós initiated the study of the maximum number of edges in an $n$-vertex $r$-graph such that no $k$ edges span at most $s$ vertices. If $s=rk-2k+2$ then this function is quadratic in $n$. I will present various results, joint with Stefan Glock, Felix Joos, Jaehoon Kim, Marcus Kühn, Lyuben Lichev and Shumin Sun, on this case.
演讲者介绍
Oleg Pikhurko obtained a 5-year Diploma from L'viv State University,
Ukraine, in 1995 and a PhD from the University of Cambridge in 2000.
He was a Junior Research Fellow at St John's College, Cambridge
(2000-2003) and an Assistant/Associate Professor at Carnegie Mellon
University, before moving to the University of Warwick in 2011. He is
a recipient of an ERC Starting Grant (2013-9) and an on-going ERC
Advanced Grant (2022-2026).