Mini Course on Geometric Measure Theory
Date: Friday, 14 March 2025
Time: 3:30 PM
Venue: Seminar Hall(Hybrid)
Mini Course on Geometric Measure Theory
Aswin Govindan Sheri
IISER Berhampur.
14-03-25

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Abstract

Hausdorff measure and dimension, Examples of various types of constructions, Fourier transform and it's basic properties, Frostman's lemma, energy integrals, it's reformulation using Fourier inversion, Distance set conjecture. The first lecture will explore problems related to pattern recognition, demonstrating how geometric measure theory offers valuable tools for identifying and analyzing patterns in various mathematical and real-world contexts. The second lecture will focus on variants of distance problems, highlighting their significance and complexity in geometric and analytic settings. These sessions promise to offer both depth and accessibility, intended for participants with a range of mathematical backgrounds.