会议时间 Date
2026年6月4日 -- 2026年6月8日
会议地点 Place
华东师范大学闵行校区数学楼 102 会议室
邀请报告人 Invited speakers
陈苗芬 复旦大学
丁 聪 深圳大学
郝 峰 山东大学
黄国坚 深圳大学
江 智 复旦大学
李木林 湖南大学
张 磊 中山大学
张润泽 香港中文大学
仲国磊 华东师范大学
周明铄 天津大学
会议组织者 Organizers
杜荣，陆俊，骆文斌，吕鑫，孟晟，戚鲁，饶胜，谈胜利，杨金榜，张通，左康
会议联系人 Contact
吕 鑫 xlv@math.ecnu.edu.cn
题目摘要 Title & Abstract
陈苗芬 （复旦大学）
题目： Local Shimura varieties and affine Deligne-Lusztig varieties
摘要： Rapoport-Zink spaces are moduli spaces of p-divisible groups which are representable by formal schemes. Local Shimura varieties are the generalization of the generic fiber of Rapoport-Zink spaces with level structures and affine Deligne-Lusztig varieties are the generalization of the special fiber of Rapoport-Zink spaces. In this talk, we will discuss about the structure of local Shimura varieties in the HN-decomposable case and its application to affine Deligne-Lusztig varieties. This is a joint work in progress with Xu Shen.
丁聪 （深圳大学）
题目： Geometry of equivariant compactification of the Heisenberg groups
摘要： A classical result by Hassett and Tschinkel shows that there exist infinitely many inequivalent equivariant compactifications of vector groups into projective spaces of dimension at least 6. In this talk，we will give a non-commutative analog of this result for the Heisenberg groups. We prove that there exist infinitely many inequivalent equivariant compactifications of Heisenberg groups into odd dimensional projective spaces. This is a joint work with Zhijun Luo.
郝峰 （山东大学）
题目： Diffeomorphism types of simply connected 3-dimensional Mori fibre spaces
摘要： Isikovski, Mori, and Mukai showed that Fano threefolds admit finitely many (105) diffeomorphism types. In this talk, I will discuss the diffeomorphism types of three dimension Mori fibre spaces. For three dimensional simply connected Mori fibre spaces with torsion free cohomologies, we introduce finitely many numerical invariants classifying the their diffeomorphism types. This is a joint work with Yang Su and Jianqiang Yang.
黄国坚 （深圳大学）
题目： Nonexistence of certain level structures and Carathéodory geometry
摘要： Compactifying modular curves $\mathbb{H}/\Gamma$ will in general result in curves of rather different properties. In particular, increasing hyperbolicity properties are observed on gradually lifted high level coverings $\mathbb{H}/\Gamma(N)$.
In [Ann. Math. 1989], Nadel studied the above phenomenon on Shimura varieties and showed that certain level structures corresponding to genus $0, 1$ could not exist for Shimura varieties of sufficiently high level, which is sometimes thought to be closely related to the Modellic property and the Bombieri-Lang conjecture. Complex geometrically the result of Nadel can be interpreted as the nonexistence of entire holomorphic curve, i.e. Brody hyperbolicity.
The genus $\geq 2$ cases are due to Hwang-To [Math. Ann 2006], where a key ingredient is the volume estimates of subvarieties of Shimura varieties. This estimate later on is applied to recent progress in functional transcendence theory, especially the resolution of Ax-Schanuel conjecture for Shimura varieties in Mok-Pila-Tsimerman [Ann. Math. 2019].
In this talk, we discuss a generalization of Hwang-To to moduli spaces of hyperbolic Riemann surfaces form the point of view of Carath\'eodory geometry.
江智 （复旦大学）
题目： A family of minimal surfaces of general type with K^2=4 and p_g=q=1
摘要： About 30 years ago, Catanese and Ciliberto showed that for a minimal surface S of general type with K^2=3 and p_g=q=1, the general fiber of the Albanese morphism of S has genus at most 3 and when the genus is 5, these surfaces are deformation equivalent. We showed that an analogue holds for minimal surfaces S of general type with K^2=4 and p_g=q=1: the general fiber of the Albanese morphism of S has genus at most 5 and when the genus is 5, these surfaces are deformation equivalent. This talk is based on a joint work with Hsueh-Yung Lin.
李木林 （湖南大学）
题目： Deformation rigidity of non-uniruled manifolds
摘要： In this talk, we will discusss the rigidity properties of compact non-uniruled manifolds. Given a smooth family of compact Kahler manifolds over the unit disk, we show that all the fibers are mutually isomorphic under several mild conditions. This talk is mainly based on the joint works with Xiao-Lei Liu; Kai Wang and Sheng Rao.
张磊 （中山大学）
题目： The SGA3 Fundamental Group and Stratified Bundles on Rigid Spaces
摘要： For a connected rigid space over a non-archimedean field, we define an “SGA3 fundamental group” as the prodiscrete completion of the geometric (or de Jong) fundamental group. It is the Noohi group of the tame infinite Galois category of étale-locally constant sheaves split by discrete torsors. On the other hand, stratified bundles on rigid spaces form a Tannakian category. We construct a specialization functor: for a proper formal scheme with connected generic and special fibers, there is an exact tensor functor from representations of the SGA3 fundamental group of the special fiber to stratified bundles on the generic fiber. This yields a homomorphism of affine group schemes, which is faithfully flat under an eta‑normality hypothesis. (Joint work with Marcin Lara and Jiu‑Kang Yu.)
张润泽 （香港中文大学）
题目： Unobstructed deformations for pairs (Calabi-Yau manifold, holomorphic vector bundle)
摘要： Let X be a compact complex manifold in the Fujiki class (i.e., bimeromorphic to a compact Kähler manifold) with torsion canonical bundle, and let E be a holomorphic vector bundle over X. Suppose that H^2(X, End^0 (E))=0, where End^0 (E) denotes the subbundle of trace‑zero endomorphisms. We prove that the joint deformations of the pair (X,E) are unobstructed.
In particular as a direct corollary, when E is a line bundle, our result recovers and refines the known results of Shizhang Li-Xuanyu Pan (2019) and D. Iacono-M. Manetti (2021). Our approach is analytic by solving the obstruction equations, which is completely different from theirs.
仲国磊 （华东师范大学）
题目： Kawaguchi-Silverman conjecture for int-amplified endomorphisms.
摘要： Let $f$ be a surjective endomorphism of a smooth projective variety $X$ over a number field. The Kawaguchi-Silverman conjecture asserts that given a closed point $x$ whose forward orbit is Zariski dense in $X$, the arithmetic degree of $f$ at $x$ coincides with the first dynamical degree of $f$. In this talk, based on the previous work of Meng-Zhang, I would like to verify this conjecture when $f$ has a dominant topological degree (or equivalently, $f$ is int-amplified). The key step is to show that the pathological case when $f$ has totally invariant ramifications does not occur. This is based on a joint work with Sheng Meng.
周明铄 （天津大学）
题目： Moduli spaces and the algebra of conformal blocks
摘要： For a classical simple and simply connected group G, let M be the moduli space of semistable parabolic G-bundles on a complex smooth projective curve of genus g. In this talk, we prove two results: (1) M is of Fano type when g>2; (2) the algebra of conformal blocks on any n-pointed stable curve for a classical simple Lie algebra is finitely generated. This is joint work with Yanglong Zhang.
住宿信息 Accommodation
住宿酒店为华东师范大学闵行校区旁边的宝龙艺悦酒店(地址: 上海市闵行区吴泾尚义路39弄1号, 电话: 021-33880888)。
从机场/火车站至酒店 From Airports/Stations to Hotel
上海浦东机场至酒店:
从浦东机场站乘坐地铁2号线，至世纪大道站换乘地铁9号线，至桂林路站换乘地铁15号线，至永德路站下车，步行约1.2公里到达宝龙艺悦酒店(步行导航请参考下图)，总耗时约2小时40分钟。
乘坐出租车约需1小时(非高峰时段)，费用约200元。
上海火车站至酒店:
从上海火车站乘坐地铁1号线或3号线，至上海南站换乘地铁15号线，至永德路站下车，步行约1.2公里到达宝龙艺悦酒店(步行导航请参考下图)，总耗时约1小时30分钟。
乘坐出租车约需50分钟(非高峰时段)，费用约140元。
上海虹桥机场/上海虹桥火车站至酒店:
从虹桥站乘坐地铁2号线，至娄山关路站换乘地铁15号线，至永德路站下车，步行约1.2公里到达宝龙艺悦酒店(步行导航请参考下图)，总耗时约1小时40分钟。
乘坐出租车约需40分钟(非高峰时段)，费用约120元。
上海南站至酒店:
从上海南站乘坐地铁15号线，至永德路站下车，步行约1.2公里到达宝龙艺悦酒店(步行导航请参考下图)，总耗时约50分钟。
乘坐出租车约需30分钟(非高峰时段)，费用约60元。
永德路地铁站至宝龙艺悦酒店步行导航图
从酒店至数学楼 From Hotel to Math Building
从宝龙艺悦酒店步行至数学楼路程约1.5公里，用时约20分钟，步行导航请参考下图。
宝龙艺悦酒店至数学楼步行导航图
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