The University of Pennsylvania had a successful grad-student-organized seminar series called the "Pizza Seminar" when I was there (2005-2010). It appears to still be active. Some people talked about their research, others about just math they found interesting. Grad-student-only audience, with the occasional faculty speaker. At the time it probably had more pure talks than applied just because of the department population; it looks like this is still true.
Michael Lugo
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