全部视频在校内视频网站：wlkt.ustc.edu.cn
时间： 2023年5月30日（周二）15:00
地点：东区第二教学楼2103教室
Zoom meeting invitation - Zhe Sun的Zoom会议
https://us06web.zoom.us/j/8784574760
密码：111111
报告人：曹俊彦, 尼斯大学
题目：Analytic methods in complex geometry
摘要：The analytic method in complex geometry is a powerful approach that combines complex analysis and differential geometry to study the properties of projective varieties or, more generally, Kähler varieties. We will discuss several topics about the analytic methods in complex geometry. In the first part, we will explain some basic properties of Kähler manifolds and projective manifolds, particularly Kodaira's projectivity criteria and Voisin's counterexample to Kodaira's conjecture. In the second part, we will discuss how the curvatures determine the geometry of the manifolds in the complex geometry setting.
时间： 2023年5月30日（周二）10:00
地点：东区第五教学楼5107教室
报告人：覃帆, 上海交通大学
题目：Visualizing Cluster Algebras Through Topological Models
摘要: Cluster algebras are algebras with a rich combinatorial structure. They are ubiquitous in mathematics. In this talk, we will illustrate these algebras and associated higher structures using topological models on surfaces.
时间： 2023年5月4日（周四）15:00-16:00
地点：东区第五教学楼5406教室
Zoom meeting invitation - Zhe Sun的Zoom会议
https://us06web.zoom.us/j/8784574760
密码：111111
报告人：王艺霖, 法国高等数学研究所IHES
题目：Connecting Schramm-Loewner evolution to Teichmuller theory
摘要: In this introductory lecture, I will show how ideas in probabilistic theory gives rise to a natural quantity, and show it to be linked to objects in Teichmuller theory. More specifically, we study the Loewner energy for Jordan curves which is first introduced as the action functional of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. On the other hand, we show that the Loewner energy coincides with the universal Liouville action introduced by Takhtajan and Teo, which is a Kahler potential for the Weil-Petersson metric on Universal Teichmueller space. This unexpected link suggests that more geometric structures are hidden underneath the probabilistic theory of SLE. I will give an overview of the link between SLE and Kahler geometry of Universal Teichmuller space and a first glimpse into the territory the link has opened up to.
时间： 2023年4月24日（周一）8:30-10:00
地点：东区第五教学楼5307教室
Join Zoom Meeting
https://caltech.zoom.us/j/88686737010?pwd=bVFCZFAwdnFlQ1B1WXVnYnBUUXF3dz09
Meeting ID: 886 8673 7010
Passcode: 123456
报告人：余越, 加州理工学院
题目：Mirror structure constants via non-archimedean analytic disks
摘要: For any smooth affine log Calabi-Yau variety U, we construct the structure constants of the mirror algebra to U via counts of non-archimedean analytic disks in the skeleton of the Berkovich analytification of U. This generalizes our previous construction with extra toric assumptions. The technique is based on an analytic modification of the target space as well as the theory of skeletal curves. Consequently, we deduce the positivity and integrality of the mirror structure constants. If time permits, I will discuss further generalizations and virtual fundamental classes. Joint work with S. Keel.
时间： 2023年4月14日（周五）16:00-17:00
地点：东区第五教学楼5107教室
报告人：刘毅, 北京大学北京国际数学研究中心
题目：3-Manifold groups and finite quotients
摘要: In this talk, I will discuss recent development in 3-manifold topology. In particular, these include finite cover constructions and study of finite quotients of the fundamental groups.
时间： 2023年3月28日（周二）16:00-17:00
地点：东区第五教学楼5107教室
腾讯会议：592-5316-4611
https://meeting.tencent.com/dm/69QbtMcsT6Ty
报告人：单芃, 清华大学丘成桐数学科学中心
题目：范畴化及其应用
摘要: 我们将以对称群表示为例，介绍量子群范畴化在表示论中的应用以及一些近期的发展。
时间： 2023年3月7日（周二）14:00-16:00
地点：东区第五教学楼5107教室
报告人：何颂, 中科院理论物理研究所
题目：Scattering amplitudes @ intersection of QFT, strings and mathematics
摘要: I will give some pedagogical introduction to remarkable mathematical structures discovered in studying scattering amplitudes of Quantum Field Theory and string theory.
时间：2023年3月2日（周四）19:30-20:30
地点：东区第五教学楼5106教室
报告人：郗平，西安交通大学
题目：Algebraic exponential sums in analytic number theory
摘要：Applications of Fourier analysis to number theory create exponential sums, which are basically of analytic or algebraic types. Estimates for such exponential sums turn out to be very crucial in many applications. In this talk, we aim to give a survey on the study of algebraic exponential sums from different aspects, including complete sums and incomplete sums, one variable cases and high dimensional generalizations, analytic methods and geometric approaches, arithmetic properties and analytic behaviours, individual sums and on average. With some typical examples on hand, we would like to show how algebraic exponential sums are applied in analytic number theory, and also describe how the latter one is used to characterize the former ones.
时间： 2022年12月11日（周日）14:00-16:00
地点：东区第五教学楼5207教室
报告人：邓亚 (CNRS, Université de Lorraine)
报告题目：Hyperbolicity, birational geometry, Hodge theory and their interface
摘要：The little Picard theorem asserts that a non constant entire function omits at most one complex value. It is the starting point of modern complex hyperbolicity. In this talk I will introduce the notion of hyperbolicity and explain how it interacts with birational geometry and Hodge theory.