11月7日 -- 8日 (7 -- 8, November)
2026年11月7日至8日(11月6日报到,11月8日离会)
华东师范大学闵行校区数学楼102报告厅
傅吉祥复旦大学
王健中国科学院
黄国坚深圳大学
欧阳泽轩西湖大学
王成茜清华大学
温洋南京理工大学
夏铭辰中国科学技术大学
彦文娇北京师范大学
张良迪重庆理工大学
傅吉祥复旦大学
李嘉禹中国科学技术大学
刘克峰重庆理工大学
莫毅明香港大学
张伟平南开大学
陈张弛华东师范大学
李琼玲南开大学
饶胜武汉大学
万学远重庆理工大学
肖建清华大学
| 时间 | 内容 |
|---|---|
| 08:40 -- 08:50 | 开幕式 |
| 08:50 -- 09:00 | 合影 |
| 09:00 -- 09:50 | 邀请报告1(50分钟):黄国坚(深圳大学) |
| 09:50 -- 10:10 | 茶歇 |
| 10:10 -- 11:00 | 邀请报告2(50分钟):王成茜(清华大学) |
| 11:00 -- 11:10 | 休息 |
| 11:10 -- 12:00 | 邀请报告3(50分钟):彦文娇(北京师范大学) |
| 12:00 -- 14:00 | 午餐 |
| 14:00 -- 14:50 | 邀请报告4(50分钟):欧阳泽轩(西湖大学) |
| 14:50 -- 15:00 | 休息 |
| 15:00 -- 15:30 | 报告1(30分钟) |
| 15:30 -- 15:40 | 休息 |
| 15:40 -- 16:10 | 报告2(30分钟) |
| 16:10 -- 16:30 | 茶歇 |
| 16:30 -- 17:20 | 特邀报告:傅吉祥(复旦大学) |
| 18:00 -- | 晚宴 |
| 时间 | 内容 |
|---|---|
| 09:00 -- 09:50 | 邀请报告5(50分钟):王健(中国科学院) |
| 09:50 -- 10:00 | 休息 |
| 10:00 -- 10:50 | 邀请报告6(50分钟):温洋(南京理工大学) |
| 10:50 -- 11:10 | 茶歇 |
| 11:10 -- 12:00 | 邀请报告7(50分钟):夏铭辰(中国科学技术大学) |
| 12:00 -- 14:00 | 午餐 |
| 14:00 -- 14:50 | 邀请报告8(50分钟):张良迪(重庆理工大学) |
| 14:50 -- 15:10 | 茶歇 |
| 15:10 -- 15:40 | 报告3(30分钟) |
| 15:40 -- 15:50 | 休息 |
| 15:50 -- 16:20 | 报告4(30分钟) |
| 16:20 -- 16:30 | 闭幕式 |
| 17:00 -- | 晚餐 |
题目: Adiabatic limit of a class of Hermitian Yang–Mills metrics: exponential decay
摘要: We study Hermitian Yang–Mills metrics on a rank-two stable holomorphic vector bundle over the product of two elliptic curves in the large Kähler limit. We construct approximate HYM metrics whose mean-curvature errors decay exponentially as the associated degeneration parameter tends to zero. We then prove that the constructed Hermitian metric is exponentially close to the exact Hermitian Yang–Mills metric in every Ck-norm. This is joint work with Dekai Zhang.
题目: TBA
题目: Holomorphic isometry arising from minimal rational curves and its applications
摘要: In this talk, we discuss:
1) the construction of nonstandard holomorphic isometric embeddings of some complex unit balls into irreducible bounded symmetric domains of rank at least 2. The construction is found by N. Mok and is closely related to the theory of minimal rational curves.
2) Via the embedding, we construct a holomorphic submersion, called the Cayley projection, from an irreducible bounded symmetric domain of rank at least two to its boundary component of the regular part. The fibre of such submersion is exactly the image of Mok's isometric embedding.
3) By using the Cayley projection in combination with techniques in ergodic theory and harmonic analysis, we obtain, under natural topological and analytic assumptions, a uniformization theorem among complete Kähler–Einstein manifolds of negative Ricci curvature whose universal covering is Carathéodory hyperbolic. In particular, the theorem is applicable to quotients of bounded domains on Stein manifolds with finite Kobayashi volume.
4) If time permits, we also discuss how to extend Mok's embedding to period domains and its relevance to Hodge theory.
This talk is based on a series of joint works with N. Mok.
题目: Compactification of metric moduli space of K3 surfaces
摘要: I will present our recent results on the metric moduli space of K3 surfaces. In particular, I will describe our proof of a conjecture of Odaka–Oshima, which gives an algebraic description of the Gromov–Hausdorff compactification of the moduli space of unit-diameter hyperkähler metrics on K3 surfaces. As a corollary, we classify the Gromov–Hausdorff limits of hyperkähler K3 surfaces with either a fixed complex structure or a fixed polarization. This is joint work with Professor Gang Tian.
题目: Characterization of products of projective spaces via nef complexity
摘要: Nef complexity of a projective variety X compares dim X + ρ(X) with the sum of the coefficients of nef partitions of −KX. We prove that the nef complexity is non-negative and zero precisely for products of projective spaces. We classify smooth Fano threefolds with nef complexity at most one. In a similar vein, we prove Mukai's conjecture for smooth Fano varieties for which every extremal contraction is of fiber type and study smooth images of products of projective spaces. Along the way, we answer positively a question of J. Starr regarding the nef cone of smooth Fano varieties.
题目: Morse Index of a G2-Instanton over S7
摘要: A classical result states that every nonflat Yang–Mills connection on the unit round sphere Sn, n ≥ 5, has Morse index at least n+1. In this paper, we prove that the pullback of the standard anti-self-dual BPST instanton on S4 under the quaternionic Hopf fibration S7 → S4 attains this lower bound, with Morse index 8 and nullity 20. This provides an example distinct from the canonical connection on SO(8) → S7.
题目: A solution to the Collins–Tosatti conjecture
摘要: On a compact Kähler manifold, given a pseudoeffective class, there are two canonically associated subvarieties, known as the null locus and the non-Kähler locus. Collins–Tosatti showed that these two loci are equal for nef classes, and conjectured the same result for general classes. In this talk, I will explain the background, sketch the proof and explain a few applications. This is a joint work with D. V. Vu.
题目: A Complex Structure on T2 × S4: The Genus-One Case of Calabi's Problem
摘要: We construct a complex structure on T2 × S4, giving an affirmative answer to the genus-one case of Calabi's problem. The resulting compact complex threefold is non-Kähler and admits no biholomorphic product decomposition.
题目: Higgs–Demailly System and Positivity of Higgs Bundles
摘要: In this talk, I will discuss a Higgs analogue of the Demailly approach to Griffiths positivity on compact Riemann surfaces. We prove that the Higgs–Demailly system admits a smooth admissible solution at the terminal parameter if and only if the Higgs bundle is H-ample. As a consequence, H-ampleness admits an analytic characterization in terms of Griffiths-positive Hitchin–Simpson curvature. The proof combines a priori estimates and Leray–Schauder degree theory with a Higgs-compatible Simpson–Uhlenbeck–Yau blow-up argument. The key step is to show that a failure of the scalar lower bound produces a nonzero Higgs quotient of nonpositive degree, contradicting H-ampleness.
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)。
酒店提供早餐。
晚宴在华东师大教师之家宾馆,上海市闵行区虹梅南路5858号。
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。
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。
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。
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
请点击以下链接或扫描二维码注册, 截止日期:2026年10月10日
本次论坛计划安排4个博士或博士后报告,每个30分钟。欢迎自荐报名。有意向的报告人,请在10月10日前发送论文至zcchen@math.ecnu.edu.cn。报名截止后我们会选择安排,并提供资助。
https://www.wenjuan.com/s/F7VVFbg/