2025 CMS Winter Meeting

Toronto, Dec 5 - 8, 2025

Abstracts        

Geometric Partial Differential Equations
Org: Siyuan Lu and Yi-Lin Tsai (McMaster University)
[PDF]

KENNETH DEMASON, McMaster University

ROBERT HASLHOFER, University of Toronto
Singularities of mean curvature flow in $\mathbb{R}^4$  [PDF]

I will first survey the theory of mean curvature flow through singularities in $\mathbb{R}^3$. Then, I will discuss our recent classification of all noncollapsed singularities in $\mathbb{R}^4$. This is joint work with Kyeongsu Choi.

FREID TONG, University of Toronto

YULUN XU, University of Toronto
viscosity solution to complex Hessian quotient equation.  [PDF]

We prove the existence of viscosity solutions to complex Hessian equations on compact Hermitian manifolds, assuming the existence of a strict subsolution in the viscosity sense. The results cover the complex Hessian quotient equations. This generalizes our previous results, where the equation must satisfy a determinant domination condition. This is a joint work with Prof. Jingrui Cheng.


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