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SUMMARY:Dr. Chun-Yen Shen (National Taiwan University)
DTSTART:20240327T060000Z
DTEND:20240327T070000Z
DTSTAMP:20260423T021435Z
UID:MAC8028/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAC8028/19/"
 >Discretized Sum-Product and Geometric Measure Theory</a>\nby Dr. Chun-Yen
  Shen (National Taiwan University) as part of Trends in Mathematical Resea
 rch\n\nLecture held in NTNU Gongguan S101.\n\nAbstract\nIn this talk\, I w
 ill first briefly review the history of sum-product estimates in the setti
 ng of finite fields and mention the applications of sum-product type probl
 ems. Then I will start introducing the celebrated result of Bourgain about
  the discretized sum-product estimates and the applications to geometric m
 easure theory problems. Finally I will talk about our recent results about
  expanding polynomials in terms of Hausdorff dimension and discuss their s
 um-product phenomena.\n
LOCATION:https://researchseminars.org/talk/MAC8028/19/
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