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‪Theresa Anderson, Purdue University, Dyadic analysis (virtually) meets number theory

March 22, 2021 | 3:00 pm - 4:00 pm EDT

In this talk we discuss two ways in which dyadic analysis and number theory share a rich interaction. The first involves a complete classification of “distinct dyadic systems”. These are sets of grids which allow one to compare any Euclidean ball nicely with any dyadic cube, and allow for showing that a large number of continuous objects and operators can be “replaced” with their easier dyadic counterparts. Secondly, we define and make progress on showing the (failure) of a “Hasse principle” in harmonic analysis; specifically, we discuss the interplay between number theory and dyadic analysis that allows us to construct a measure that is “p-adic” doubling for any prime p (in a finite set of primes), yet not doubling overall.

Zoom meeting ID: 928 3597 1183 (Password is 3811)

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Date:
March 22, 2021
Time:
3:00 pm - 4:00 pm EDT
Event Category:

Venue

Zoom