Fall 2024 Analysis Seminar: Difference between revisions
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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. | 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. | |||
Revision as of 13:11, 12 September 2024
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, Ingraham 216 | 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 | |||
| We, 10-9 | Shukun Wu | Indiana University | Shengwen | ||
| We, 10-16 | |||||
| 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.