Share Facebook Twitter Friday January 27th 2023 03:15 PM - 04:15 PM Add to my calendar Add to my Calendar iCalendar Google Calendar Outlook Outlook Online Yahoo! Calendar Location Fariborz Maseeh Hall (FMH) room 462 1855 SW Broadway Cost / Admission Free Contact Fariborz Maseeh Department of Mathematics & Statistics 503-725-3621 Speaker: Dr. J.J.P. Veerman Title: Primes! Abstract: A non-technical review of some classical results in number theory. We identify some of the currents in number theory (analytic, algebraic, and ergodic), and informally discuss some results that had great impact on mathematical (and physical) thought. On the analytic side, we look at the prime number theorem (or PNT), which tells us how dense primes are in the natural numbers. While its proof starts with some combinatorial estimates, it turns out, very surprisingly, that the full proof makes essential use of complex analysis (the Cauchy integral formula). For that reason, this branch is now called analytic number theory. We will touch on algebraic number theory. This theorem gives the density of primes in sequences of the form {a+ib} where a and b are fixed integers. Time permitting, we will very briefly mention ergodic theory. colloquium