Fall 2024 Analysis Seminar
Organizers: Shengwen Gan, Terry Harris and Andreas Seeger
Emails:
- Shengwen Gan: sgan7 at math dot wisc dot edu
- Terry Harris: tlharris4 at math dot wisc dot edu
- Andreas Seeger: seeger at math dot wisc dot edu
Time and Room: Wed 3:30--4:30 Van Vleck B119.
In some cases the seminar may be scheduled at different time to accommodate speakers.
If you would like to subscribe to the Analysis seminar list, send a blank email to analysis+subscribe (at) g-groups (dot) wisc (dot) edu
Link to Spring 2025 Analysis Seminar
| Date | Speaker | Institution | Title | Host(s) | Notes (e.g. unusual room/day/time) |
|---|---|---|---|---|---|
| We, 9-11 | Gevorg Mnatsakanyan | UW Madison | Almost everywhere convergence of the Malmquist Takenaka series | ||
| We, 9-18 | Lars Niedorf | UW Madison | Restriction type estimates and spectral multipliers on Métivier groups | ||
| Th, 9-26, 2:25-3:25, VV B215 | Niclas Technau | University of Bonn | Rational points on/near homogeneous hyper-surfaces | Andreas | Note changes of time/date/room, joint with Number Theory Seminar |
| We, 10-2 | Sergey Denisov | UW Madison | Applications of inverse spectral theory for canonical systems to NLS. | ||
| We, 10-9 | Shukun Wu | Indiana University | On almost everywhere convergence of planar Bochner Riesz means | Shengwen | |
| We, 10-16 | Nathan Wagner | Brown University | Dyadic shifts, sparse domination, and commutators in the non-doubling setting | Andreas | |
| We, 10-23 | Betsy Stovall | UW Madison | |||
| We, 10-30 | Burak Hatinoglu | Michigan State University | Alexei | ||
| We, 11-6 | Bingyuan Liu | University of Texas Rio Grande Valley | Xianghong | ||
| We, 11-13 | Maxim Yattselev | Indiana University (Indianapolis) | Sergey | ||
| We, 11-20 | Li Ji | Macquarie University | Brian | ||
| We, 11-27 | No seminar | ||||
| We, 12-4 | Dallas Albritton | UW Madison | Andreas | ||
| We, 12-11 |
Abstracts
Gevorg Mnatsakanyan
Title: Almost everywhere convergence of the Malmquist Takenaka series
Link to Abstract: [1]
Lars Niedorf
Title: Restriction type estimates and spectral multipliers on Métivier groups
Abstract: We present a restriction type estimate for sub-Laplacians on arbitrary two-step stratified Lie groups. Although weaker than previously known estimates for the subclass of Heisenberg type groups, these estimates turn out to be sufficient to prove an Lp-spectral multiplier theorem with sharp regularity condition s > d|1/p-1/2| for sub-Laplacians on Métivier groups.
Niclas Technau
Title: Rational points on/near homogeneous hyper-surfaces
Abstract: How many rational points are on/near a compact hyper-surface? This question is related to Serre's Dimension Growth Conjecture. We survey the state of the art, and explain a standard random model. Furthermore, we report on recent joint work with Rajula Srivastava (Uni/MPIM Bonn). Our arguments are rooted in Fourier analysis and, in particular, clarify the role of curvature in the random model.
Sergey Denisov
Title: Applications of inverse spectral theory for canonical systems to NLS
Abstract: For nice initial data, NLS can be integrated using the inverse scattering theory for the Dirac equation on the line. We will discuss the connection of the Dirac equation to canonical systems and use the recent characterization of the Szegő class of measures on the real line to obtain a new semi-conserved quantity for the NLS. The bounds for the negative Sobolev norms will be presented as an application for the L2 NLS solutions (based on joint work with Roman Bessonov).
Shukun Wu
Title: On almost everywhere convergence of planar Bochner Riesz means
Abstract: We prove that the planar Bochner Riesz mean converges almost everywhere for any L^p function in the optimal range, for 5/3<p<2. Our approach is based on a weighted L^2 estimate, which may be of independent interest. For example, up to an epsilon loss, we can reprove Cordoba's L^4 orthogonality by solely considering L^2 space and using L^2 orthogonality. This is a joint work with Xiaochun Li.