时间：2026年3月23日
地点：浙江世贸君澜大饭店 二楼文汇阁
9:00-10:00
On a Higher-Dimensional Cohen--Lenstra Type Result
许金兴（中国科学技术大学）
The geometric Cohen--Lenstra heuristic predicts the distribution of the Picard groups (or their ξ\ellξ-primary parts) of hyperelliptic curves over finite fields. By replacing a hyperelliptic curve with a double cover of projective space branched along a hyperplane arrangement, we study the distribution of Frobenius-invariant subspaces of the étale cohomology groups in this family of double covers over a finite field. This can be viewed as a higher-dimensional analogue of the geometric Cohen--Lenstra heuristic. The result relies on a large monodromy theorem for this family.
10:30-11:30
Khovanov homology and the complexity of spatial graph recognition problems
谢羿（北京大学）
Khovanov homology serves as a fundamental invariant in knot theory. In this talk, we introduce a generalization of Khovanov homology for graphs embedded in the space. We demonstrate that this invariant effectively detects certain planar graphs and provides deeper insights into the complexity of spatial graph recognition problems.
14:00-15:00
Fundamental Quantum L-Functions of Bloch Elements
方宏怀（西湖大学）
Starting from Habiro-type fundamental elements attached to Bloch classes, we construct complex and p-adic quantum L-functions via logarithms and Mellin transforms. In cyclotomic cases they factor through Dirichlet and Kubota-Leopoldt L-functions and recover classical regulators, while in general the intrinsic object is a Bloch L-class with a universal zero divisor.
15:30-16:30
On the complexity of quantum cohomology
王崇宇（北京大学）
Circuit complexity for two-dimensional topological quantum field theories (2D TQFTs) was defined by Couch, Fan, and Shashi. Quantum cohomology of compact symplectic manifolds provides a natural source of 2D TQFTs. In this talk, I will discuss the complexity of quantum cohomology in the specific contexts of (co)minuscule homogeneous varieties and Fano complete intersections.
