Spring 2023 Analysis Seminar: Difference between revisions
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|Diogo Oliveira e Silva | |Diogo Oliveira e Silva | ||
|Instituto Superior Técnico (Lisboa) | |Instituto Superior Técnico (Lisboa) | ||
|[[Spring 2023 Analysis Seminar#Diogo Olivieira e Silva|The Stein-Tomas inequality: three recent improvements]] | |[[Spring 2023 Analysis Seminar#Diogo Olivieira e Silva|The Stein-Tomas inequality: three recent improvements]] | ||
|Betsy Stovall, Andreas Seeger | |Betsy Stovall, Andreas Seeger | ||
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Abstract: Hörmander 1973 proposed to study a generalized Fourier extension operator, and asked whether the generalized operator satisfies the same L^p bounds as that of the standard Fourier extension operator. Surprisingly, Bourgain 1991 gave a negative answer to Hörmander’s question. In this talk, I will discuss a modification of Hörmander’s question whose answer may be affirmative. This is a joint work with Hong Wang and Ruixiang Zhang. | Abstract: Hörmander 1973 proposed to study a generalized Fourier extension operator, and asked whether the generalized operator satisfies the same L^p bounds as that of the standard Fourier extension operator. Surprisingly, Bourgain 1991 gave a negative answer to Hörmander’s question. In this talk, I will discuss a modification of Hörmander’s question whose answer may be affirmative. This is a joint work with Hong Wang and Ruixiang Zhang. | ||
===[[Diogo Oliveira e Silva]]=== | |||
Title: The Stein-Tomas inequality: three recent improvements | |||
Abstract: The Stein-Tomas inequality dates back to 1975 and is a cornerstone of Fourier restriction theory. Despite its respectable age, it is a fertile ground for current research. The goal of this talk is three-fold: we present a recent proof of the sharp endpoint Stein-Tomas inequality in three space dimensions; we present a variational refinement and withdraw some consequences; and we discuss how to improve the Stein-Tomas inequality in the presence of certain symmetries. | |||
Revision as of 01:21, 7 February 2023
Organizer: Shaoming Guo
Email: shaomingguo (at) math (dot) wisc (dot) edu
Time: Tuesdays, 4-5pm
Room: Van Vleck B139
All talks will be in-person unless otherwise specified.
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+join (at) g-groups (dot) wisc (dot) edu
| Date | Speaker | Institution | Title | Host(s) |
|---|---|---|---|---|
| Jan. 24 | ||||
| Jan. 31 | ||||
| Feb. 7 | Shaoming Guo | UW Madison | Hörmander's generalization of the Fourier restriction problem | Analysis group |
| Feb. 14 | Diogo Oliveira e Silva | Instituto Superior Técnico (Lisboa) | The Stein-Tomas inequality: three recent improvements | Betsy Stovall, Andreas Seeger |
| Feb. 21 | Jack Burkart | UW Madison | Analysis group | |
| Feb. 28 | Shengwen Gan | MIT | Analysis group | |
| Mar. 7 | Yuqiu Fu | MIT | Zane Li | |
| Mar. 14 | Spring break | |||
| Mar. 21 | Zhiren Wang | Penn State | Shaoming Guo, Chenxi Wu | |
| Mar. 28 | ||||
| Apr. 4 | Liding Yao | Ohio State | Brian Street | |
| Apr. 11 | Dominique Maldague | MIT | Betsy Stovall, Andreas Seeger | |
| Apr. 18 | David Beltran | Universitat de València. | Andreas Seeger | |
| Apr. 25 | Herve Gaussier | Institut Fourier | Xianghong Gong, Andy Zimmer | |
| May 2 |
Abstracts
Shaoming Guo
Title: Hormander's generalization of the Fourier restriction problem
Abstract: Hörmander 1973 proposed to study a generalized Fourier extension operator, and asked whether the generalized operator satisfies the same L^p bounds as that of the standard Fourier extension operator. Surprisingly, Bourgain 1991 gave a negative answer to Hörmander’s question. In this talk, I will discuss a modification of Hörmander’s question whose answer may be affirmative. This is a joint work with Hong Wang and Ruixiang Zhang.
Diogo Oliveira e Silva
Title: The Stein-Tomas inequality: three recent improvements
Abstract: The Stein-Tomas inequality dates back to 1975 and is a cornerstone of Fourier restriction theory. Despite its respectable age, it is a fertile ground for current research. The goal of this talk is three-fold: we present a recent proof of the sharp endpoint Stein-Tomas inequality in three space dimensions; we present a variational refinement and withdraw some consequences; and we discuss how to improve the Stein-Tomas inequality in the presence of certain symmetries.
[1] Previous Analysis Seminars
[2] Fall 2022 Analysis Seminar