学术报告
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Curvature Flow of Pinched Hypersurfaces in Space FormsIn this talk, I first introduce mean curvature flow briefly, and then mainly consider closed hypersurfaces immersed in a space of constant sectional curvature evolving in direction of its outer unit normal vector with speed given by a general curvature function of principal curvatures, such that the initial hypersurface is pinched in the sense that the ratio of the biggest and smallest principal curvatures of the hypersurface is close enough to 1 everywhere. We prove that the pinching is preserved as long as the flow exists, and the flow shrinks to a point in finite time. Especially, if the speed is a high order homogeneous function, the normalized flow exists for all time and converges smoothly and exponentially to a round sphere in Euclidean space.李光汉 教授(武汉大学)腾讯会议室2020年5月19日 10:00-11:00
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Uniqueness of the Geometric Mean of Two Convex BodiesIn this talk, I will present a preliminary report of a problem asked by Vitali Milman. This is if there are two convex bodies K and L such that $K+L=K^o+L^o$, is it true that $K=L^o$?张宁 副教授(华中科技大学)腾讯会议室2020年5月19日 09:00-10:00
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On the Second Main Theorem of Nevanlinna Theory for SubschemesBy using Seshadri constants for subschemes, we establish a second main theorem of Nevanlinna theory for holomorphic curves intersecting subschemes in (weak) subgeneral position. We also give the corresponding Schmidt's subspace theorem in Diophantine approximation.于光升 博士 (复旦大学)zoom会议室2020年5月16日(周六) 9:00-10:00
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素数变量的丢番图方程素数变量的丢番图方程的研究历史悠久。研究方法涉及圆法,筛法和指数和等重要解析数论方法。本报告,将综述关于素数变量丢番图方程的一些研究内容,方法以及最新的进展。 最后,我们将简要介绍报告人在素数变量二次形上的一些工作赵立璐 教授 (山东大学 教授)腾讯会议室2020年05月12 日 10:00-11:00
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Average Bounds Toward the Generalzied Ramanujan Conjecture题目:Average Bounds Toward the Generalzied Ramanujan Conjecture报告人:王英男 副教授 (深圳大学)地点:腾讯会议室时间:2020 年 05 月12 日 09:00-10:00摘要:The generalized Ramanujan conjecture (GRC) for Maass forms is still open. In this talk we will survey the recent results and developments centered on this problem.点击链接入会,或添加至会议列表:https://meeting.tencent.com/s/5gXpEDI2d01c会议...王英男 副教授 (深圳大学)腾讯会议室2020 年 05 月12 日 09:00-10:00
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Diffeomorphic Classes of the Doubling Calabi-Yau ThreefoldsIt is well-known that there is only one compact Kahler manifold with zero first Chern class up to diffeomorphism in complex dimension 1. This is topologically a torus and is an example of Calabi-Yau manifold. The Ricci-flat metric on a torus is actually a flat metric. In dimension 2, the K3 surfaces furnish the compact simply-connected Calabi-Yau manifolds. However in 3 dimension, it is an open problem whether or not the number of topologically distinct types of Calabi-Yau 3-folds is bounded. From the view point of physics (String theory), S.T. Yau speculates that there is a finite number of families of Calabi-Yau 3-folds.Prof. Naoto Yotsutani (Kagawa University)致远楼101室2020年1月8日 15:00-17:00
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理解数学本报告试图通过一些观点和例子谈一谈怎样理解数学,如什么样的东西是基本的,什么样的问题是好问题,数学美的含义,如何理解数学的思维方式等。致远数学讲堂:席南华 院士 (中国科学院)致远楼108室2020年1月4日 15:30-16:30
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An L2 Poincare Dolbeault Lemma of Space with Mixed Cone-Cusp Singular MetricThe existence of Kahler Einstein metric with mixed cone and cusp singularity has attracted many attentions in recent years. In this talk, we show that their L2 cohomologies coincide with the de Rham cohomology of a good compactification (under both Dirichlet and Neumann boundary conditions) and prove that their L2-Hodge -Frolicher spectral sequence give the pure Hodge structure on them. This is a work joint with Junchao Shentu.赵晨 副研究员 (中国科学技术大学)致远楼101室2020年1月3日下午4:00-5:00