scnews: "Asia-Pacific Analysis and PDE Seminar: Neal Bez -- A nonlinear Brascamp-Lieb inequality" by Sanjana Bhardwaj

  Dear friends and colleagues,   

on Monday, 26 June 2023 at
    • 1:00 PM for Beijing, Hong Kong and Perth
    • 02:00 PM for Seoul and Tokyo
   • 03:00 PM for Canberra, Melbourne and Sydney
  • 05:00 PM for Auckland  

Professor Neal Bez is giving a talk in our Asia-Pacific Analysis and  PDE Seminar on   

A nonlinear Brascamp-Lieb inequality

Abstract:

The classical version of the Brascamp-Lieb inequality is a unification of fundamental inequalities such as the multilinear Holder, Young convolution and Loomis-Whitney inequalities. The well-advanced theory for this inequality includes Lieb's theorem which reveals a special role played by gaussians. In 2005, Bennett, Carbery and Wright obtained a nonlinear (local) version of the Loomis-Whitney inequality in which the underlying projection mappings are replaced by nonlinear perturbations. Here we present some joint work with Jon Bennett, Stefan Buschenhenke, Michael Cowling and Taryn Flock in which we provide a nonlinear version of the Brascamp-Lieb inequality in full generality. Our proof is built upon a tight induction-on-scales argument incorporating gaussian near- extremisers. A significant component of our proof is deriving an effective version of Lieb's theorem which guarantees the existence of gaussian near-extremisers with suitable control on their eccentricity.

Chair:Daniel Hauer (University of Sydney)

More information and how to attend this talk can be found at the seminar webpage

Sanjana
On behalf of Daniel H. and Ben

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Webinar Speaker

Neal Bez

Professor @ Saitama University, Japan

Neal obtained his PhD in 2007 from the University of Edinburgh under the supervision of Jim Wright. After positions at the University of Birmingham and the University of Glasgow, he moved to Japan in 2014 and since then has been working in the Department of Mathematics at Saitama University. From the Mathematical Society of Japan, he received a Takebe Katahiro Prize (2014), the Journal of the Mathematical Society of Japan Outstanding Paper Prize (2018), and the Spring Prize (2022). He also received a Young Scientists Prize from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) in 2020.