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SUMMARY:Hilbert transforms on Coxeter groups and groups acting on building
 s - Xiaoqi Lu (University of Glasgow)
DTSTART:20250703T150000Z
DTEND:20250703T153000Z
UID:TALK233785@talks.cam.ac.uk
DESCRIPTION:Cotlar identities were used as a tool to show the $L_p$ ($1 < 
 p < \\infty$) boundedness of Hilbert transforms on the real line. In 2017\
 , Mei and Ricard first generalized Cotlar identities to the non-commutativ
 e setting and showed the $L_p$-boundednesses ($1 < p < \\infty$) of Hilber
 t transforms on free groups. Then in 2022\, Gonz{\\'a}lez-P{\\'e}rez\, Par
 cet and Xia generalized the result on groups acting on $\\mathbb{R}$-trees
  by using a geometric model. In this talk\, we will further discuss this t
 opic on Coxeter groups (abstract reflection groups) and groups which admit
  actions on buildings. This is a joint work with Runlian Xia.
LOCATION:External
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