Algebra Seminar, Michael Kelly (University of Michigan): " Uniform Dilations in High Dimensions"

Friday, December 4, 2015
1:10 PM - 2:00 PM (ET)
Exley Science Center (Tower)
Event Type
Seminar/Colloquium
Contact
Han Li
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=65894

Abstract: It is a theorem of Glasner that given an infinite subset X of the torus R/Z and an epsilon greater than 0 there exists a positive integer n such that any interval of length epsilon in R/Z contains a point of the set nX (that is, nX is epsilon-dense in R/Z). The set nX is called a dilation of X by n. Alon and Peres have shown that the dilation factor n can be chosen to be a prime or n=f(m) for some integral polynomial f with degree(f)>0 and integer m. We will discuss various developments on these sorts of topics and I'll present joint work with Le Thai Hoang where we consider this phenomenon in higher dimensions.

Algebra Seminar, Michael Kelly (University of Michigan): " Uniform Dilations in High Dimensions" 1:10 PM - 2:00 PM (ET)
Exley Science Center (Tower)
265 Church Street, Middletown, CT 06457
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