BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Drupal: Date iCal//NONSGML kigkonsult.se iCalcreator 2.18//
METHOD:PUBLISH
X-WR-CALNAME;VALUE=TEXT:Calendar of Events
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20241103T020000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20240310T020000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
RDATE:20250309T020000
TZNAME:EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:calendar.65344.field_date.0@calendar.lafayette.edu
DTSTAMP:20260606T110055Z
DESCRIPTION:*Let /a/\, /b/\, and /c/ be relatively prime positive integers 
 such that \n/a+b=c/. How does /c/ compare to rad(/abc/)\, where rad(/n/) d
 enotes the \nproduct of the distinct prime factors of /n/? According to th
 e explicit /abc/ \nconjecture\, it is always the case that /c/ is less tha
 n the square \nof rad(/abc/). This simple statement is incredibly powerful
 \, and as a \nconsequence\, one gets a (marginal) proof of Fermat's Last T
 heorem for an \nexponent /n/ greater than 5.*\n* *\n*In this talk\, we int
 roduce Masser and Oesterlé's /abc/ conjecture and \ndiscuss some of its co
 nsequences\, as well as some of the numerical evidence \nfor the conjectur
 e. Along the way\, we will discuss recent work from the PRiME \n2022 summe
 r research group on /abc/ triples of the form (1\, /c - 1/\, /c/). \nWe wi
 ll then introduce elliptic curves and see that the /abc/ conjecture has \n
 an equivalent formulation in this setting\, namely\, the modified Szpiro 
 \nconjecture. We conclude the talk by discussing a recent result that \nes
 tablishes the existence of sharp lower bounds for the modified Szpiro rati
 o \nof an elliptic curve that depends only on its torsion structure.*\n\n
 \n 
DTSTART;TZID=America/New_York:20240328T161500
DTEND;TZID=America/New_York:20240328T171500
LAST-MODIFIED:20240318T181744Z
LOCATION:Pardee 217
SUMMARY:The abc conjecture and its equivalent formulation in the realm of e
 lliptic \ncurves
URL;TYPE=URI:https://calendar.lafayette.edu/node/65344
END:VEVENT
BEGIN:VEVENT
UID:calendar.65344.field_date.1@calendar.lafayette.edu
DTSTAMP:20260606T110055Z
DESCRIPTION:*Let /a/\, /b/\, and /c/ be relatively prime positive integers 
 such that \n/a+b=c/. How does /c/ compare to rad(/abc/)\, where rad(/n/) d
 enotes the \nproduct of the distinct prime factors of /n/? According to th
 e explicit /abc/ \nconjecture\, it is always the case that /c/ is less tha
 n the square \nof rad(/abc/). This simple statement is incredibly powerful
 \, and as a \nconsequence\, one gets a (marginal) proof of Fermat's Last T
 heorem for an \nexponent /n/ greater than 5.*\n* *\n*In this talk\, we int
 roduce Masser and Oesterlé's /abc/ conjecture and \ndiscuss some of its co
 nsequences\, as well as some of the numerical evidence \nfor the conjectur
 e. Along the way\, we will discuss recent work from the PRiME \n2022 summe
 r research group on /abc/ triples of the form (1\, /c - 1/\, /c/). \nWe wi
 ll then introduce elliptic curves and see that the /abc/ conjecture has \n
 an equivalent formulation in this setting\, namely\, the modified Szpiro 
 \nconjecture. We conclude the talk by discussing a recent result that \nes
 tablishes the existence of sharp lower bounds for the modified Szpiro rati
 o \nof an elliptic curve that depends only on its torsion structure.*\n\n
 \n 
DTSTART;TZID=America/New_York:20240328T161500
DTEND;TZID=America/New_York:20240328T173000
LAST-MODIFIED:20240318T181744Z
SUMMARY:The abc conjecture and its equivalent formulation in the realm of e
 lliptic \ncurves
URL;TYPE=URI:https://calendar.lafayette.edu/node/65344
END:VEVENT
END:VCALENDAR