Additive and geometric transversality of fractal sets in the integers

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Florian Richter
February 25, 2021
3:00PM - 4:00PM
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Online: Zoom info below

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Add to Calendar 2021-02-25 15:00:00 2021-02-25 16:00:00 Additive and geometric transversality of fractal sets in the integers Speaker:  Florian K. Richter (Northwestern University) Title:  Additive and geometric transversality of fractal sets in the integers Speaker's URL:  https://sites.math.northwestern.edu/~fkr/ Abstract:  Using the language of fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the 1960s that explore the relationship between digit expansions of real numbers in distinct prime bases. While his famous x2 x3 conjecture remains open, recent solutions to some of his "transversality conjectures" have shed new light on old problems. In this talk we explore analogues questions in the discrete setting of the integers, with the aim of understanding the independence of sets of integers that are structured with respect to different prime bases. This is based on joint work with Daniel Glasscock and Joel Moreira. Additional Dates &/or Times Zoom link: https://osu.zoom.us/j/98033590349 Meeting ID: 980 3359 0349 Password: Mixing Online: Zoom info below Department of Mathematics math@osu.edu America/New_York public
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Speaker:  Florian K. Richter (Northwestern University)

Title:  Additive and geometric transversality of fractal sets in the integers

Speaker's URL:  https://sites.math.northwestern.edu/~fkr/

Abstract:  Using the language of fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the 1960s that explore the relationship between digit expansions of real numbers in distinct prime bases. While his famous x2 x3 conjecture remains open, recent solutions to some of his "transversality conjectures" have shed new light on old problems. In this talk we explore analogues questions in the discrete setting of the integers, with the aim of understanding the independence of sets of integers that are structured with respect to different prime bases. This is based on joint work with Daniel Glasscock and Joel Moreira.

Additional Dates &/or Times
Zoom link: https://osu.zoom.us/j/98033590349

Meeting ID: 980 3359 0349

Password: Mixing

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