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15

2024-11

代数几何讨论班——Double star arrangements and the pointed multinet

报告人：刘永强（中国科学技术大学）报告时间：11月26日（周二）下午2点-3点报告地点：数学楼（海纳苑2幢）720室报告摘要: Let A be a hyperplane arrangement in a complex projective space. It is an open question if the degree one cohomology jump loci (with complex coefficients) are determined by the combinatorics of A. By the work of Falk and Yuzvinsky, all the irreducible compon...

14

2024-11

代数几何讨论班——Minimal model program for algebraically integrable foliations and generalized pairs

报告人：韩京俊（复旦大学）报告时间：11月19日（周二）下午4点-5点报告地点：数学楼（海纳苑2幢）720室报告摘要: Algebraically integrable foliations and generalized pairs are two structures that play important roles in modern birational geometry, specifically in the minimal model program. Recently, we showed we may run the minimal model program for both algebraically...

13

2024-11

The Catalan conjecture and its new proof

08

2024-11

Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime

23

2024-10

动力系统与分形几何讨论班——An upper bound for polynomial volume growth or Gelfand–Kirillov dimension of automorphisms of zero entropy

报告人：胡飞（南京大学）报告时间：10月27日（周日）上午10点-11点报告地点：数学楼（海纳苑2幢）101室报告摘要: Let X be a smooth complex projective variety of dimension d and f an automorphism of X.Suppose that the pullback f^* of f on the real Néron–Severi space N^1(X)_R is unipotent and denote the index of the eigenvalue 1 by k+1.We prove an upper bound for the polynomial volume...

21

2024-10

代数几何讨论班——On the Hodge theory of Toroidal embeddings and corresponding Vanishings

报告人：魏传豪 (西湖大学)时间：2024年10月22日（星期二），下午4:00-5:00地点：海纳苑2幢206摘要：Deligne's logarithmic comparison theorem and the degeneracy of the spectural sequence of logarithmic de Rham complex gives the mixed Hodge structure of a projective smooth variety with a normal crossing boundary divisor. In this talk, we will try to build a s...

21

2024-10

代数与表示论专题报告——The Unicity Theorem and the center of the SL3-skein algebra

Speaker: Dr. Zhihao Wang (王志浩博士) (新加坡Nanyang Technological Univ. and 荷兰Univ. of Groningen.)Time: 3:00-5:00pm, Oct. 23 (Wednesday), 2024Place: 浙江大学紫金港校区海纳苑二号楼101Abstract: SLn-skein algebra is related to character variety, Higher Teichmüller theory, and cluster algebra. For example, the reduced stated SL2-skein algebra has proved to be isomorphi...

18

2024-10

代数与表示论系列报告——Some open questions in non-commutative algebra

Title：Some open questions in non-commutative algebraSpeaker: Professor James Zhang (张坚教授) (University of Washington)Time: 3:00-4:00pm, Oct. 21 (Monday), 2024Place: 浙江大学紫金港校区海纳苑二号楼101Abstract: We survey some important open questions in noncommutative algebra posted during the last 30 years, some of which are motivated by noncommutative algebraic geometry...

18

2024-10

代数与表示论系列报告——On a class of noetherian prime Hopf algebra

Speaker: Dr.zahra nazemian (University of Graz, Austria)Time: 4:10-5:10pm, Oct. 21 (Monday), 2024Place: 浙江大学紫金港校区海纳苑二号楼101Abstract: Brown and Goodearl proposed a conjecture stating that every prime noetherian Hopf algebra is Auslander Gorenstein (AG). We prove that if a prime noetherian Hopf $k$-algebra is AG, or more generally, if it possesses an Auslander dualizin...

16

2024-10

动力系统与分形几何讨论班——Lower Assouad-type dimensions: old and new

报告人：陈海鹏（深圳技术大学）报告时间：10月25日（周五）下午3点30分—4点30分报告地点：数学楼（海纳苑2幢）203室报告摘要: As natural duals to the well-studied Assouad-type dimensions, the lower Assouad-type dimensions form a family of fractal dimensions that describe and quantify the coarse aspects of a set. In this talk, we will review their definitions and properties, and present ong...

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