BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:The negative Pell equation and class groups.
DTSTART:20230131T093000
DTEND:20230131T103000
DTSTAMP:20260407T091731Z
UID:6ef1b6cfea1e2bff6467c95cbb421fbd7bb15bf1a0787182115eb8b6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Peter Koymans\, Uni. Of Michigan\nSeminar in Mathematics\nAbst
 ract:\nPell's equation has a rich and long history going back to the ancie
 nt Greeks. Refining an earlier conjecture of Nagell from the 1930s\, Steve
 nhagen made a fundamental conjecture about the negative Pell equation 30 y
 ears ago. I will discuss my recent proof\, in joint work with Carlo Pagano
 \, of this conjecture. A central object in the proof is the so-called clas
 s group\, which plays a prominent role in modern number theory. We give an
  introduction to class groups\, explain its central role in modern number 
 theory and explain its connection to the negative Pell equation.\n 
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021 https://epfl.zoom
 .us/j/63065816703
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR