为了促进国内Gromov-Witten理论领域的同行们的交流合作，我们将于2024年10月18日至21日在山东大学中心校区举办2024年山东大学Gromov-Witten理论研讨会。真诚的欢迎您的参与！

时间：2024年10月18日-21日（18日报道，21日离会）

报告时间：10月19日和20日

会议地点：山东大学中心校区知新楼B924

住宿地点：学人大厦酒店（山东大学中心校区校内）

交通：1.从济南西站/东站（均可）打出租车或者网约车到山东大学中心校区北门；2从遥墙机场打出租车或者网约车到山东大学中心校区北门。

报告人：

杜承勇（四川师范大学）

何伟强（中山大学）

柯华忠（中山大学）

刘治宇（浙江大学）

涂君武（上海科技大学）

杨迪（中国科学技术大学）

周春辉（中国科学技术大学）

周杨（复旦大学）

周正一（中国科学院）

宗正宇（清华大学）

联系人：王新   电话（微信）：13287765589，Email:wangxin2015@sdu.edu.cn

                                                    会议安排

2024年10月19日

2024年10月20日

报告人：杜承勇（四川师范大学）

题目：Tautological property of relative Gromov–Witten classes

摘要：In this talk we show that as expceted,   the tautological property of relative Gromov-Witten classes of a relative pair (X/Z) is guaranteed by the tautological property of Gromov-Witten classes of X and Z. As an application, we could construct new examples of which the Gromov-Witten classes are tautological by blowups. This talk is based on a joint work with Bohui Chen. 

报告人：何伟强（中山大学）

题目：A Dubrovin conjecture for weighted polynomials of two variables

摘要：We investigate a Dubrovin conjecture for quasihomogeneous polynomials of two variables, relating the Gram matrix of the Euler pairing between exceptional objects in the category of equivariant matrix factorizations and the Stokes matrix of solutions of a quantum differential equation of the Fan-Jarvis-Ruan-Witten theory of the polynomial. We prove the conjecture in cases of Brieskorn-Pham polynomials, this is a joint work with  Matthew Habermann and Yefeng Shen.

报告人：柯华忠（中山大学）
题目: Counter-examples to Gamma conjecture I

摘要: For quantum cohomology of a Fano manifold X, Gamma conjectures try to describe the asymptotic behavior of Dubrovin connection in terms of derived category of coherent sheaves on X, via the Gamma-integral structure of the quantum cohomology. In particular, Gamma conjecture I expects that the structure sheaf corresponds to a flat section with the smallest asymptotics. Recently, we discovered that certain toric Fano manifolds do not satisfy this conjecture. In this talk, we will report our results on these counter-examples, and propose modifications for Gamma conjecture I. This talk is based on joint work with S. Galkin, J. Hu, H. Iritani, C. Li and Z. Su.

报告人：刘治宇（浙江大学）

题目：Castelnuovo bound conjecture and curve-counting invariants

摘要：The Castelnuovo bound conjecture, which is proposed by physicists, predicts an effective vanishing result for Gopakumar-Vafa invariants of Calabi-Yau 3-folds of Picard number one. In this talk, I will review recent advances toward solving this conjecture. I will first explain the proof for the quintic case, then explore how to extend it to all Calabi-Yau 3-folds of Picard number one.

报告人：涂君武（上海科技大学）

题目： Towards open-closed categorical enumerative invariants.
摘要： In this talk, we discuss some work-in-progress to construct open-closed enumerative invariants from Calabi-Yau A-infinity categories. We shall focus on the genus zero case, and discuss new phenomena in order to define these open invariants. This is a joint work with Lino Amorim from Kansas State University.

报告人：杨迪（中国科学技术大学）

题目: Large genus asymptotics of Witten's intersection numbers

摘要：We give a new proof of the DGZZ conjecture regarding the large genus asymptotic 

of Witten's intersection numbers. The talk is based on a joint work with Jindong Guo.

报告人：周春辉（中国科学技术大学）

题目：On the Burgers-KdV hierarchy and its tau-function

摘要：In this talk, we will discuss about the Burgers-KdV hierarchy which is constructed by A. Buryak to describe the so-called open intersection numbers. This hierarchy can be seen as a kind of extension of KdV hierarchy and its tau-function is also closely related to the KdV’s tau-function. We will show how to use Sato theory and Dubrovin-Zhang theory to derive some properties of Burgers-KdV hierarchy and show some applications on the related open intersection numbers.

报告人：周杨（复旦大学）

题目: Quasimap wall-crossing and applications

摘要: For a large class of GIT quotients, the quasimap invariants are analogous to the Gromov-Witten invariants, defined using the moduli of epsilon-stable quasimaps as an alternative compactification of the space of maps from smooth domain curves. For different epsilon, the invariants are equivalent to each other, related by an explicit wall-crossing formula. In this talk, I will give a brief introduction to quasimap wall-crossing and explain some recent applications.

报告人：周正一（中科院） 

题目：Kahler compactification of C^n and Reeb dynamics
摘要：We will present two results in complex geometry: (1) A Kahler compactification of C^n with a smooth divisor complement must be P^n, which confirms a conjecture of Brenton and Morrow (1978) under the Kahler assumption; (2) Any complete asymptotically conical Calabi-Yau metric on C^3 with a smooth link must be flat, confirming a modified version of Tian's conjecture regarding the recognition of the flat metric among Calabi-Yau metrics in dimension 3. Both proofs rely on relating the minimal discrepancy number of a Fano cone singularity to its Reeb dynamics of the conic contact form. This is a joint work with Chi Li. 

报告人：宗正宇（清华大学）

题目: Remodeling conjecture with descendant

摘要: Based on the work of Eynard-Orantin and Marino, the Remodeling Conjecture was proposed in the papers of Bouchard-Klemm-Marino-Pasquetti in 2007 and 2008. The Remodeling Conjecture can be viewed as an all genus open-closed mirror symmetry for toric Calabi-Yau 3-orbifolds. In this talk, I will explain an all genus mirror symmetry for descendant Gwomov-Witten nvariants of toric Calabi-Yau 3- orbifolds. The B-model is given by the Laplace transform of the Chekhov-Eynard-Orantin invariants of the mirror curve. This talk is based on ongoing joint work with Bohan Fang, Melissa Liu, and Song Yu.