BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.4.5//EN TZID:America/Los_Angeles X-WR-TIMEZONE:America/Los_Angeles BEGIN:VEVENT UID:0-1849@hmc.edu DTSTART;TZID=America/Los_Angeles:20261008T161500 DTEND;TZID=America/Los_Angeles:20261008T173000 DTSTAMP:20261006T181525Z URL:https://www.hmc.edu/calendar/events/mathematical-connections-seminar-j ason-rosenhouse-2/ SUMMARY:Mathematical Connections Seminar: Jason Rosenhouse DESCRIPTION:Jason Rosenhouse\, Professor of Mathematics\nJames Madison Univ ersity\nIn 1837\, Peter Dirichlet proved the following theorem: If a and d are relatively prime integers\, then the arithmetic progression a\, a+d\, a+2d\, . . . contains infinitely many prime numbers. His proof ushered in a revolution in number theory because it relied in a critical way on comp lex analysis. The use of analytic methods to solve problems in number theo ry was a tremendous innovation at the time. We shall consider some of the details of Dirichlet's proof\, focusing on understanding why there is a de ep connection between these seemingly unrelated branches of mathematics. T hroughout\, we will be more concerned with the ideas underlying the proof than we will with presenting an excessive amount of technical detail. CATEGORIES:Faculty,Staff,Students LOCATION:Shanahan Center\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711\, United States X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=320 E. Foothill Blvd.\, Cla remont\, CA\, 91711\, United States;X-APPLE-RADIUS=100;X-TITLE=Shanahan Ce nter:geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:America/Los_Angeles X-LIC-LOCATION:America/Los_Angeles BEGIN:DAYLIGHT DTSTART:20260308T030000 TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT END:DAYLIGHT END:VTIMEZONE END:VCALENDAR