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Analysis and Additive Combinatorics in Chicago | Betsy Stovall (UW Madison)

Thursday, November 12, 2026 | 4:00 PM - 5:00 PM CT
Lunt Hall, 104, 2033 Sheridan Road, Evanston, IL 60208 map it

Endline Fourier extension inequalities for hyperbolic surfaces in 3D

Abstract:  We outline an approach for extending $L^p \to L^q$ Fourier extension inequalities to the parabolic scaling line $q=2p’$ for a fairly broad class of hyperbolic 2-surfaces in $\mathbb R^3$.  Such estimates, while classical for $p \leq 2$, and known since the early 2000s in the elliptic case, had previously been unknown in the range $p > 2$ for any hyperbolic surface other than the hyperbolic paraboloid and hyperbolic (one-sheeted) hyperboloid.  This is joint work with Sam Craig.  

Audience

  • Faculty/Staff
  • Public
  • Post Docs/Docs
  • Graduate Students

Contact

Rachel Greenfeld
Email

Interest

  • Academic (general)

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