Prof. U. B. Tewari Distinguished Lecture Series in Mathematics Department of Mathematics & Statistics Indian Institute of Technology Kanpur 




Title: Applications of the Fourier transform to Hausdorff dimension 

Date: 7,8,9,11 November 2024 

Time: 03:30 PM (IST) 

Venue: LH14 

Brochure: UBTLecture SeriesBrochure 

Abstract:
Starting from Kaufman's work in 1968 and Falconer's
in 1982 on orthogonal projections of general Borel sets, there have been
many applications of the Fourier transform to geometric problems
involving Hausdorff dimension.
About the Series: The lecture series is in honour of Prof. U. B. Tewari (19442019) for his outstanding contributions in mathematics. This annual event is generously established by his family, friends, and former students. Each year, a distinguished mathematician is invited to deliver a comprehensive short course consisting of 45 lectures spread over a twoweek period in a forefront area of Mathematics. This year's lecture is the third in the series, and it includes a short course designed to engage researchers and graduate students. All the lectures will be in hybrid mode.


About the Speaker:
Pertti
Mattila is a Finnish mathematician and a leading figure in geometric
measure theory and fractal geometry. His pioneering contributions
continue to influence ongoing research and shape the future directions
of harmonic analysis, complex analysis, and geometric measure theory. He
has explored the geometric and measuretheoretic properties of fractal
sets, contributing significantly to the development of this rich and
intricate field. Mattila is the author of several influential books and
numerous research papers. His books "Geometry of Sets and Measures in
Euclidean Spaces: Fractals and Rectifiability" and "Fourier Analysis and
Hausdorff Dimension" are widely cited. 

About Prof. U. B. Tewari:
Prof U. B. Tewari, popularly known as UBT, obtained his Ph.D at the University of California Berkeley, and joined IIT Kanpur in 1970. He was known for his inspiring and rigorous teaching. He started an Harmonic Analysis School at IITK and brought together colleagues from other reputed institutes in India. Prof. Tewari has received many awards, including the Shanti Swaroop Bhatnagar Prize, and the Meghnad Saha award for research in Theoretical Sciences. He was also a Fellow of the National Academy of Sciences, Allahabad.
