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20

2023-09

Regularity of free boundary for the Monge-Ampere obstacle problem

20

2023-09

D-modules, motivic integrals and hypersurface singularities

代数几何与辛几何系列学术报告Title: D-modules, motivic integrals and hypersurface singularities 报告人：吴磊（浙江大学数学学院长聘副教授）时间：2023年4月6日星期四下午1:45-2:45地点：浙大紫金港校区海纳苑2幢210Abstract:This talk is an invitation to the study of monodromy conjecture for hypersurfaces in complex affine spaces. I will recall two different ways to understand singularities of hypersurfac...

20

2023-09

Mapping class groups in symplectic geometry: from packing problem to moduli spaces

代数几何与辛几何系列学术报告Title: Mapping class groups in symplectic geometry: from packing problem to moduli spaces报告人：吴惟为（浙江大学数学学院长聘副教授）时间：2023年4月6日星期四下午2:45-3:45地点：浙大紫金港校区海纳苑2幢210Abstract: Symplectic packing problem is one of the central theme in symplectic geometry, after Gromov’s celebrating non-squeezing theorem. Many works have ...

20

2023-09

Alexandrov’s theorem for anisotropic capillary hypersurfaces in half-space

报告人：夏超教授（厦门大学）题目：Alexandrov’s theorem for anisotropic capillary hypersurfaces in half-space 时间：2023年4月18日星期二上午10:00地点：海纳苑2幢105Abstract: The minimizers for surface free energy functional, which is the sum of anisotropic surface tension (or parametric elliptic functional) and the wetting energy functional, in half-space are known to be truncated W...

20

2023-09

Some estimates on Higgs bundles over Riemann surfaces

题目: Some estimates on Higgs bundles over Riemann surfaces报告人：戴嵩（天津大学）时间： 2023年4月21日周五15：30地点：海纳苑2幢203摘要: Given a Riemann surface, the non-Abelian Hodge theory roughly speaking builds a correspondence between Higgs bundles and harmonic maps. In this talk, under the background of the moduli space of the Higgs bundles, we discuss some estimates of the geometric quantit...

20

2023-09

The dual Minkowski problem for unbounded closed convex sets

20

2023-09

RC-positivity and the geometry of compact complex manifolds

杰出青年数学家系列讲座Time: June 1, Thursday, 16:00-17:00 Venue: 海纳苑2幢210室Speaker: 杨晓奎 Xiaokui Yang (Tsinghua University)Title: RC-positivity and the geometry of compact complex manifolds. Abstract: In this talk we will present some recent progress on the geometry and topology of compact complex manifolds with RC-positive tangent bundles.简介杨晓奎，清华大学数学科学系教授。2012年毕业于美国...

20

2023-09

Mean curvature flow translators with prescribed ends

题目: Mean curvature flow translators with prescribed ends报告人: 孙奥（芝加哥大学）时间：2023年7月12日，15:30-地点：海纳苑2幢101室摘要: Mean curvature flow is the fastest way to decrease the area of surfaces. It is the model in many disciplines such as material science, fluid mechanism, and computer graphics. The translators are a special type of mean curvature flow soliton. They are the singular...

20

2023-09

Phase transitions with Allen-Cahn mean curvature bounded in Lp.

Title: Phase transitions with Allen-Cahn mean curvature bounded in Lp. Abstract: We consider the varifolds associated to a phase transition problem whose first variation of Allen-Cahn energy is Lp integrable with respect to the energy measure. We can see that the Dirichlet and potential part of the energy are almost equidistributed. After passing to the phase field limit, one can obtain...

20

2023-09

Sobolev inequalities and regularity of the linearized complex MongeAmp\`ere and Hessian equations

报告人：王嘉项博士（南开大学），题目：Sobolev inequalities and regularity of the linearized complex MongeAmp\`ere and Hessian equations摘要：Let $u$ be a smooth, strictly $k$-plurisubharmonic function on a bounded domain $\Omega\in\mathbb C^n$ with $2\leq k\leq n$.In this talk, we will discuss the regularity of solution to the linearized complex Monge-Amp\`ere and Hessian equations when the...

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