Réunion d'hiver SMC 2025
Toronto, 5 - 8 decembre 2025
Équations différentielles partielles géométriques
Org: Siyuan Lu et Yi-Lin Tsai (McMaster University)
[PDF]
Org: Siyuan Lu et 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]
- ROBERT HASLHOFER, University of Toronto
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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]
- YULUN XU, University of Toronto
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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.