Upcoming Talks
| 时间地点 | 报告人 | 题目与摘要 |
|---|---|---|
|
11月20日（周五） 16:00–17:00 SCMS 102 |
（北京国际数学研究中心 BICMR） |
Title: Compactifications of integral models of Shimura varieties Abstract: Shimura varieties and their integral models are important geometric objects in arithmetic geometry and the Langlands program, and the study of their compactifications has a long history. In this talk, we discuss some recent progress on constructing and describing integral models of toroidal and minimal compactifications of Shimura varieties, and discuss some applications of it if time permits. This is based on my own work and joint work with Shengkai Mao. |
|
11月27日（周五） 16:00–17:00 SCMS 102 |
（清华大学丘成桐数学科学中心） |
Title: TBA |
|
11月27日（周五） TBA SCMS 102 |
（台湾大学国家理论科学研究中心 NCTS） |
Title: TBA |
|
12月4日（周五） TBA SCMS 102 |
（中南大学） |
Title: The derivative function of the zeta-star correspondence Abstract: We study the right derivative of the zeta-star correspondence between binary expansions and multiple zeta-star values of infinite depth. At a finite-index point, this derivative is a normalized difference of two finite-depth multiple zeta-star values. We use this identity to express its local behavior in terms of lower-truncated star sums and their boundary coefficients. The homogeneous contribution at summation variable three contracts with ratio $2/3$. On the open parameter interval, we prove that the derivative is right-continuous everywhere and continuous precisely at the non-dyadic points. Its left jump at a dyadic point is given by an explicit positive multiple series, with divergence exactly at some special points. A refinement of the index gives an infinite upper right Dini derivative at every interior point. We also prove that the Hausdorff, packing, and modified upper box dimensions of the graph are all $\log_2(8/3)$. The Hausdorff lower bound uses the dimension of the Bernoulli convolution with parameter $2/3$, together with a separate measure-transfer argument. Finally, the pointwise Hölder exponent at a non-dyadic point is $\log_2(3/2)$ divided by its dyadic approximation exponent, and the corresponding Hausdorff spectrum is linear. |
|
12月4日（周五） TBA SCMS 102 |
（厦门大学） |
Title: TBA |
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12月17日（周四） TBA SCMS 102 |
（厦门大学） |
Title: TBA |