Analysis Seminar

Date:
Dec
14
2018

Analysis Seminar

Two questions of Landis and their applications
4:30pm|Simonyi Hall 101

We discuss two old questions of Landis concerning behavior of solutions of second order elliptic equations. The first one is on propagation of smallness for solutions from sets of positive measure, we answer this question and as a corollary prove an...

Nov
30
2018

Analysis Seminar

Branched conformal structures and the Dyson superprocess
4:30pm|Simonyi Hall 101

In the early 1920s, Loewner introduced a constructive approach to the Riemann mapping theorem that realized a conformal mapping as the solution to a differential equation. Roughly, the “input” to Loewner’s differential equation is a driving measure...

Nov
16
2018

Analysis Seminar

Some recent results related to the strong openness property of multiplier ideal sheaves.
Qi\'an Guan
4:30pm|Simonyi Hall 101

In this talk, we will recall the strong openness property of multiplier ideal sheaves (conjectured by Demailly and proved by Guan-Zhou), and then present some recent related progress including some joint work with Professor Xiangyu Zhou.

Oct
19
2018

Analysis Seminar

Some recent results related to the strong openness property of multiplier ideal sheaves.
Qi\'an Guan
4:30pm|Simonyi Hall 101

In this talk, we will recall the strong openness property of multiplier ideal sheaves (conjectured by Demailly and proved by Guan-Zhou), and then present some recent related progress including some joint work with Professor Xiangyu Zhou.

Mar
28
2018

Analysis Seminar

Polynomial Carleson operators along the paraboloid
Lillian Pierce
1:30pm|Simonyi Hall 101

The classical Carleson operator, which is intimately related to the Fourier transform, was an oscillatory singular integral operator with a linear phase. Motivated by a question of Eli Stein, recent consideration of Carleson operators has focused on...

Mar
21
2018

Analysis Seminar

Vertical perimeter versus horizontal perimeter
1:30pm|Simonyi Hall 101

We will show that the appropriately-defined vertical perimeter of a measurable subset of the Heisenberg group is at most a constant multiple of its horizontal (Heisenberg) perimeter. This isoperimetric-type inequality exhibits different behavior in...

Feb
28
2018

Analysis Seminar

Local eigenvalue statistics of random band matrices
Tatyana Shcherbina
1:30pm|Simonyi Hall 101

Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular...

Feb
14
2018

Analysis Seminar

On the long-term dynamics of nonlinear dispersive evolution equations
2:00pm|Simonyi Hall 101

We will give an overview of some of the developments in recent years dealing with the description of asymptotic states of solutions to semilinear evolution equations ("soliton resolution conjecture").

New results will be presented on damped...