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Directorate for Mathematical and Physical SciencesNSF · NSFNSF

Conference: Connections between Commutative and Non-commutative Harmonic Analysis

Haonan Zhang·University of South Carolina at Columbia, SC·2025–2026·COMPLETED
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INSTITUTION

University of South Carolina at Columbia, SC

PRINCIPAL INVESTIGATOR

Haonan Zhang

FUNDING

$16K

YEAR

2025

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Abstract

This award supports U.S.-based participants in attending the workshop "Connections between Commutative and Non-commutative Harmonic Analysis," to be held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh, UK, during the week of September 1–5, 2025. The workshop aims to bring together senior and early-career researchers working in commutative and non-commutative harmonic analysis. Although these fields share deep connections, their communities rarely have the opportunity to meet at conferences of this scale. The workshop will provide a unique environment to present recent advances and exchange expertise. This workshop will focus on four central topics in harmonic analysis: matrix weights, Fourier multipliers on (non-abelian) groups, vector-valued harmonic analysis, and martingale-related techniques. It will begin with four plenary mini-courses on these themes, delivered by leading experts. The workshop will also feature invited long and short talks by researchers working around these core topics. In addition, there will be contributed talks and a poster session to provide more opportunities for graduate students and early-career researchers to present their work. More information can be found at https://www.icms.org.uk/CommutativeandNonCommutativeHarmonicAnalysis This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Directorate for Mathematical and Physical SciencesEXP PROG TO STIM COMP RESCONFERENCE AND WORKSHOPSANALYSIS PROGRAMthroughcentralresearchersadditioninvitedseniorinformationvaluedworthypresentreflectsmathematicalmartingalecommutativeandnoncommutativeharmonicanalysisfourierfieldsduringrecentshort

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