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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20231122T150000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-68
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:AKASH SENGUPTA\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF
  WATERLOO\n\n\"FURSTENBERG SETS OVER FINITE FIELDS\"\n\nA Kakeya set is a 
 subset S of R^n that contains a unit line segment in\nevery direction. The
  Kakeya conjecture in harmonic analysis states\nthat a Kakeya set S in R^n
  has Hausdorff dimension n. The Kakeya\nconjecture is still open\, however
  an analogous statement over finite\nfields is known due to a beautiful al
 gebraic-geometric proof by Dvir.\nIn this talk\, we will consider a genera
 lization of the Kakeya sets\nover finite fields\, which are called Fursten
 berg sets. Furstenberg\nsets are subsets of F_q^n which have large interse
 ction with linear\nspaces in every direction\, where F_q is a finite field
 . We will\ndiscuss an algebraic geometric proof of lower bounds on the siz
 e of\nFurstenberg sets\, due to Ellenberg-Erman.\n\nMC 5417
DTSTAMP:20260506T034018Z
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