# Partial Differential Equations and Analysis Seminar

No events are currently scheduled.

## Past events

19

Apr

2022

### A tale of two tails »

29

Mar

2022

### Testing conditions for multilinear Radon-Brascamp-Lieb inequalities »

22

Mar

2022

### Singularity formation in fully nonlinear flows of hypersurfaces »

15

Mar

2022

### Decoupling for fractal sets on the parabola »

08

Mar

2022

### On an inverse curvature flow in two-dimensional space forms »

I am going to discuss the evolution of compact convex curves in two-dimensional space forms under an inverse curvature type flow, first proposed by Brendle, Guan and Li.

01

Mar

2022

### L^p improving bounds for circular maximal operators »

Consider families of circular means where the radii are restricted to a given subset of a compact interval. One is interested in the $L^p$ improving estimates for the associated maximal operators and related objects.

22

Feb

2022

### Convergence of regime-switching SDE via rough path theory »

We will introduce the probabilistic notion of strong convergence, discuss the basics of rough path theory, discover how we can acquire pathwise estimates of RSSDEs, and learn how these pieces fit together to establish convergence.

11

May

2021

### Quadratically pinched sub-manifolds of the sphere »

This seminar will present an algorithm for decomposing immersions satisfying a weaker inequality into a finite number of handles using a surgically modified (high codimension) mean curvature flow.

08

Sep

2020

### Caustics of weakly Lagrangian distributions »

We consider semiclassical sequences of distributions associated to a Lagrangian submanifold L of phase space.

25

Feb

2020

### Aspects in Functional Calculus Theory »

I will report on recent work in the theory of unbounded functional calculi.

07

Jan

2020

### Harmonic mean curvature flow and geometric inequalities »

In this talk, we use the harmonic mean curvature flow to prove Alexandrov-Fenchel type inequalities for strictly convex hypersurfaces in hyperbolic space.

10

Dec

2019

### Vector-valued time-frequency analysis and the bilinear Hilbert transform »

I will give an overview of how time-frequency analysis is used in proving these $L^p$-bounds, with focus on the recently understood setting of functions valued in UMD Banach spaces.

05

Nov

2019

### Global solutions to linear and semilinear Helmholtz and time-dependent Schr\"odinger equations »

A talk discussing recent work on solving the semilinear Helmholtz equation on Euclidean, or more generally asymptotically conic spaces.

15

Oct

2019

### On Escobar's conjecture and related topic »

The fundamental gap conjecture for Dirichlet eigenvalue problem on Euclidean domains is a well-known conjecture. In this talk we shall present our progress on Escobar's conjecture, namely, we confirm it for a large class of Riemannian manifolds, including Euclidean domains.

11

Oct

2019

### A priori estimates for Monge-Amp\`ere equation and applications. »

In this talk we will discuss the a priori estimates for some Monge-Amp\`ere type equation and their applications.