# Seminars and colloquia

E.g., Jan. 28, 2022

### Chao Li

NYU
Chao Li Title TBA

February 15, 2022

Zoom talk

• Differential geometry
• Mathematical Physics
• Partial Differential Equations

### Dmitry Pelinovsky

McMaster
Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential

February 22, 2022

Zoom Talk

In order to prove the existence of a ground state (a positive, radially symmetric solution in the energy space), we develop the shooting method and deal with a one-parameter family of classical solutions to an initial-value problem for the stationary equation. We prove that ... Read more
• Differential geometry
• Mathematical Physics
• Partial Differential Equations

### Jeffrey Streets

UC Irvine
Recent progress on generalized Ricci flow

March 1, 2022

Zoom Talk

The generalized Ricci Flow is an extension of the Ricci Flow equation which naturally incorporates torsion, arising from independent considerations in complex geometry, mathematical physics, and generalized geometry. In this talk I will describe some recent progress in this ... Read more
• Differential geometry
• Mathematical Physics
• Partial Differential Equations

### Doyoon Kim

Korea University
Elliptic and parabolic equations with rough coefficients in Sobolev spaces

March 8, 2022

TBA

We discuss some recent results on elliptic and parabolic equations (local and non-local, in divergence form and non-divergence form) in Sobolev spaces, especially when the coefficients are very rough. We also discuss a few approaches for the unique solvability of equations in ... Read more
• Differential geometry
• Mathematical Physics
• Partial Differential Equations

### Severin Schraven

UBC
Spectral properties of trapped bosons in the Gross-Pitaevskii limit

March 15, 2022

TBA

We study the spectrum of the family of Hamiltonian $H_N = \sum_{j=1}^N \left[ -\Delta_{x_j} + V_\text{ext}(x_j) \right] + \sum_{1\leq i<j \leq N} N^2 V(N(x_i-x_j))$, where $H_N$ acts on $L^2(\mathbb{R}^{3N})$. This family of Hamiltonians models a gas of bosons confined by ... Read more
• Differential geometry
• Mathematical Physics
• Partial Differential Equations

### Ruxandra Moraru

U Waterloo
Ruxandra Moraru Title TBA

March 29, 2022

Zoom Talk