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URL:https://uwaterloo.ca/pure-mathematics-number-theory/events/hasse-princi
 ple-random-homogeneous-polynomials-thin-sets
SUMMARY:The Hasse principle for random homogeneous polynomials in thin sets
CLASS:PUBLIC
DESCRIPTION:KISEOK YEON\, PURDUE UNIVERSITY\n\nIn this talk\, we introduce 
 a framework via the circle method in order\nto confirm the Hasse principle
  for random homogeneous polynomials in\nthin sets. We first give a motivat
 ion for developing this framework by\nproviding an overall history of the 
 problems of confirming the Hasse\nprinciple for homogeneous polynomials. N
 ext\, we provide a sketch of\nthe proof of our main result and show a part
  of the estimates used in\nthe proof. Furthermore\, by using our recent jo
 int work with H. Lee and\nS. Lee\, we discuss the global solubility for ra
 ndom homogeneous\npolynomials in thin sets.\n\nZoom\nlink: https://uwate
 rloo.zoom.us/j/98937322498?pwd=a3RpZUhxTkd6LzFXTmcwdTBCMWs0QT09
DTSTAMP:20260319T161923Z
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