Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, December 5, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Tuesday, December 5, 2017

11:00 am in 345 Altgeld Hall,Tuesday, December 5, 2017

#### To Be Announced

###### Akhil Mathew (University of Chicago)

1:00 pm in 347 Altgeld Hall ,Tuesday, December 5, 2017

#### A Spherical Maximal Function along the Primes

###### Theresa Anderson (University of Wisconsin-Madison)

Abstract: Many problems at the interface of analysis and number theory involve showing that the primes, though deterministic, exhibit random behavior.  The Green-Tao theorem stating that the primes contain infinitely long arithmetic progressions is one such example.  In this talk, we show that prime vectors equidistribute on the sphere in the same manner as a random set of integer vectors would be expected to.  We further quantify this with explicit bounds for naturally occurring maximal functions, which connects classical tools from harmonic analysis with analytic number theory.  This is joint work with Cook, Hughes, and Kumchev.

3:00 pm in 241 Altgeld Hall,Tuesday, December 5, 2017