You are cordially invited to the seminars organized by the Department of Mathematics.<\/p>\n
Speaker: Jiahua Zou (Rutgers University)<\/p>\n
“New constructions of minimal hypersurfaces and self-shrinkers”<\/p>\n
Abstract: For each large enough $m\\in\\mathbb{N}$ we construct by PDE gluing methods a closed embedded smooth minimal hypersurface ${\\breve{M}m}$ doubling the equatorial three-sphere $\\mathbb{S<\/em>{eq}}^3$ in $\\mathbb{S}^4(1)$. This answers a long-standing question of Yau in the case of $\\Sph4(1)$ and long-standing questions of Hsiang. Similarly for each integer or half-integer $J$, we construct a self-shrinker $\\breve{M}[m,J]$ of the Mean Curvature Flow in $\\mathbb{R}^3$ with $2J+1$ ends by stacking the two-plane. This talk is based on joint works with Kapouleas and Shao.<\/p>\n Date: November 5, Wednesday, 2025 To request the event link, please send a message to turker.ozsari@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the seminars organized by the Department of Mathematics. Speaker: Jiahua Zou (Rutgers University) “New constructions of minimal hypersurfaces and self-shrinkers” Abstract: For each large enough $m\\in\\mathbb{N}$ we construct by PDE gluing methods a closed embedded smooth minimal hypersurface ${\\breve{M}m}$ doubling the equatorial three-sphere $\\mathbb{S{eq}}^3$ in [\u2026] <\/p>\n
\nTime: 15:40 (Turkey)
\nPlace: Zoom<\/p>\n