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SUMMARY:Hannah Cairo (University of California\, Berkeley)
DTSTART:20250408T200000Z
DTEND:20250408T210000Z
DTSTAMP:20260423T005723Z
UID:OARS/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/71/">A 
 counterexample to the Mizohata-Takeuchi Conjecture</a>\nby Hannah Cairo (U
 niversity of California\, Berkeley) as part of OARS Online Analysis Resear
 ch Seminar\n\nAbstract: TBA\n\nWe derive a family of $L^p$ estimates of th
 e X-Ray transform of positive measures in $\\mathbb{R}^d$\, which we use t
 o construct a log $R$-loss counterexample to the Mizohata-Takeuchi conject
 ure for every $C^2$ hypersurface in $\\mathbb{R}^d$ that does not lie in a
  hyperplane. In particular\, multilinear restriction estimates at the endp
 oint cannot be sharpened directly by the Mizohata-Takeuchi conjecture.\n
LOCATION:https://researchseminars.org/talk/OARS/71/
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