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Student Analysis

Organizers: Romain Speciel & Andy Yin

Upcoming Events

Nov
08
Date3:00 PM
Location
384H
Speaker
Miles Cua (Stanford)

The theme for Student Analysis in the second half of fall quarter is geometric wave equations and wave maps. This will be the second talk on this theme.

Nov
15
Date3:00 PM
Location
384H
Speaker
Josef Greilhuber (Stanford)

The theme for Student Analysis in the second half of fall quarter is geometric wave equations and wave maps. This will be the third talk on this theme.

Nov
22
Date3:00 PM
Location
384H
Speaker
Yuefeng Song (Stanford)

The theme for Student Analysis in the second half of fall quarter is geometric wave equations and wave maps. This will be the fourth talk on this theme.

Past Events

Nov
01
Date3:00 PM
Location
384H
Speaker
Ethan Lu (Stanford)

This will be the first talk in our series on geometric wave equations, the theme for Student Analysis in the second half of fall quarter.

Oct
25
Date3:00 PM
Location
384H
Speaker
Yuefeng Song (Stanford)

This will be the fourth Student Analysis talk on kinetic theory, the seminar theme for the first half of Autumn 2024. Detailed abstract to come.

Oct
18
Date3:00 PM
Location
384H
Speaker
Lucca Prado (Stanford)

We'll start covering monotonicity of Fisher information for the space homogeneous Boltzmann equation, from the September 2024 paper by Imbert, Silvestre and Villani.

Oct
11
Date3:00 PM
Location
384H
Speaker
Andy Yin (Stanford)

We will prove the global existence and uniqueness of solutions to the Cauchy problem for the Boltzmann equation of a hard sphere, assuming small data. We will also show that such solutions, assuming nonnegative initial data, remain nonnegative, which is what we expect, as a solution represents a…

Oct
04
Date3:00 PM
Location
384H
Speaker
Lucca Prado (Stanford)

Derivation of the Boltzmann equation, introduction of the collision operator, the hard sphere case, conservation laws and entropy.

May
31
Date11:00 AM
Location
384I
Speaker
Ben Foster (Stanford)

I'll discuss some recent work of Michael Christ which establishes smoothing for the integral of a four-fold product. In particular, I will outline some key ideas involving a reduction to the trilinear case using spicy​ Cauchy-Schwarz, a study of sublevel set estimates for a…

May
24
Date11:00 AM
Location
384I
Speaker
Josef Greilhuber

Unlike for pseudodifferential operators, showing even just L²-boundedness for a general Fourier Integral Operators is nontrivial. This is especially true if the corresponding canonical relation cannot be written as a graph over the cotangent bundle of the source manifold. We will have a look at…

May
17
Date11:00 AM
Location
384I
Speaker
Josef Greilhuber (Stanford)

We will discuss applications of the clean composition calculus.

May
10
Date11:00 AM
Location
384I
Speaker
Ethan Lu (Stanford)

We will discuss the clean composition calculus of Guillemin and Duistermaat.

May
03
Date11:00 AM
Location
384I
Speaker
Yuefeng Song (Stanford)

Abstract