This is a tentative programme which can still suffer modifications. 

Abstracts

Wed 17:

10:00-11:00  Yang Lei (Soochow U): Decoupled geometry in higher-dimensional Kerr-AdS Black hole

The near-horizon limit of extremal black holes displayed the AdS2 geometry, whose entropy can be understood by the famous Kerr/CFT correspondence. In specific AdS_5 black holes, it is known that the near-horizon geometry can be lifted to AdS3. This is known as the Extremal vanishing horizon limit, with S=k T scaling. And the entropy of AdS3 can be shown to be reduced from the superconformal indices of N=4 SYM, indicating a step towards proving Kerr/CFT correspondence from AdS/CFT.

Higher-dimensional black holes would allow more fruitful parameter spaces. In this talk, I will discuss the near EVH limits of AdS_6 and AdS_7 black holes. The scalings between entropy and temperature will be S=k T^2 and S=k T^3. We will show that the geometry is not of AdS type but Einstein-Maxwell-Maxwell-Dilaton black holes. These geometries thus generalize the AdS_2 in the near-horizon limits, and open a possibility to understand microscopic states of EMMD black holes in (D-2) dimensions, from its AdS_D black hole embeddings.

11:30-12:30 Nicolo Piazzalunga (BIMSA): The count of BPS states on Calabi-Yau fourfolds

14:00-15:00 Yan-Yan Li (UCLA): Effective Strings in the Abelian Higgs Model

I will discuss the effective worldsheet theory of Abrikosov–Nielsen–Olesen vortex strings in the Abelian Higgs models. After reviewing the construction of the vortex background, I will analyze the spectrum of small fluctuations around the string, including the axion, dilaton, and higher-spin modes, beyond the translational Nambu–Goldstone modes. I will then show how these massive modes, after being integrated out, contribute to non-universal higher-curvature corrections to the Nambu–Goto action and determine the Wilson coefficients. I will conclude by comparing these results to features of confining strings in Yang–Mills theory. Based on work to appear with Thomas Dumitrescu and Amey Gaikwad.

15:30-16:30 Shan-Ming Ruan (PKU):  The Finite Black Hole Interior in Quantum Gravity 

Quantum gravity faces deep tensions between the smooth geometry of classical spacetime and the discrete, finite nature of the quantum Hilbert space. One striking manifestation of this tension is the infinite size of a black hole’s interior. For an AdS black hole, the volume of its interior (the Einstein–Rosen bridge) increases almost linearly at late times. Motivated by the complexity = anything proposal, we introduce the spectral representation of infinite generating functions for both codimension-one and codimension-zero gravitational observables that probe the black hole interior. Their time evolution exhibits a characteristic slope–ramp–plateau structure, analogous to the spectral form factor in chaotic quantum systems. Upon incorporating quantum corrections from Euclidean wormholes, we find that holographic complexity measures obey a universal time evolution: they grow linearly for a long period and then saturate at a plateau at late times. We further show that this universal behaviour is governed by a specific pole structure and by spectral level repulsion, the hallmark of quantum chaos.

16:30-17:00 Ran Luo ( PKU): Continuous Categorical Symmetries

17:00-17:30 Yuanyuan Fang (Tsinghua U): On Seiberg dualities of 4d N=1 supersymmetric gauge theories

Thur 18: 

10:00-11:00 Weiqiang He (Sun Yat-Sen U): Landau-Ginzburg mirror symmetry for x^p+y^q

Suppose W is a quasi-homogenous invertible  polynomial and G is some admissible symmetry groups of W. The Landau-Ginzburg (LG) mirror symmetry conjecture states the equivalence between LG A model on the pair (W, G) and LG B model on the mirror pair (W^T, G^). Here LG A model is induced by curve counting and LG B model is induced by variation of Hodge structure. This talk includes an introduction on LG A B model and a recent progress for the proof of the above conjecture in the case x^p+y^q.

11:30-12:30 Satoshi Nawata (Fudan U): Central Charges and Vacuum Moduli of 2d N=(0,4) Theories from Class S

14:00-15:00 Jaehyeok Choi (KIAS): Fortuity and relevant deformation

I will talk about the supercharge(Q) cohomology in an N=1 relevant deformation of 4d N=4 super Yang-Mills. We introduce a field redefinition which helps 'integrating out' massive fields in a cohomological sense. Then, we construct the monotone cohomologies corresponding to the Kaluza-Klein particles of the dual supergravity solution. Some of the monotone cohomologies obey stringy exclusion principle analogous to that of AdS_3. Also, they vanish on the diagonal field configurations, unlike N=4 monotone cohomologies. We also construct infinitely many fortuitous cohomologies for gauge group SU(2). We find that unlike N=4 fortuitous cohomologies, they can either be non-vanishing or vanishing on the diagonal fields. By undoing the field redefinition and taking a suitable UV limit, we show that non-vanishing ones reduce to monotone cohomologies of N=4 SYM, while vanishing ones reduce to fortuitous cohomologies of N=4 SYM. This implies that the fortuity can arise due to the relevant deformation.

15:30-16:30 Bin Chen (Ningbo U): Root-TTbar Deformation in Integrable Sigma Models and 4D Duality-invariant Electrodynamics

We present a single, dimension-independent framework that links four-dimensional duality-invariant nonlinear electrodynamics to two-dimensional integrable sigma models. Both sectors are shown to obey the same first-order Courant–Hilbert equation, solved by a common generating function and an auxiliary-potential formulation. Within this structure, a discrete φ parity acts as a selection rule, organizing deformation series into integer versus fractional powers. Two commuting deformations—an irrelevant parameter λ and a marginal parameter γ—admit universal flow representations that recover root-TT¯ dynamics and extend them in a controlled way. The construction yields closed-form families (generalized Born-Infeld, logarithmic, and q deformed) and a new integrable model, all realized in 2D and 4D. These results replace case-by-case analyses with a unified route to solvable nonlinear theories, with immediate relevance to gauge dynamics, string-inspired effective actions, and integrable models.

16:30-17:00 Tiantai Chen (CAS): Quiver Yangians as Coulomb branch algebras

17:00-17:30 Kedar Kolekar (BIMSA): Interacting BMS fermions in two dimensions

I will present an interacting theory of BMS fermions in two dimensions which shares similarities to the relativistic Thirring model while exhibiting intriguing and distinct features. This is a solvable theory at both classical and quantum levels. In particular, we compute the two-point and four-point functions in the induced vacuum using the Swinger-Dyson equations and the Ward-Takahashi identities. Further, we show that this model can also be obtained from an ultra-relativistic limit of the Thirring model, and discuss its implications for flat space holography.

Fri 19:

10:00-11:00 Jie Gu (Southeast U): TBA

11:30-12:30 Huazhong Ke (Sun Yat-Sen U): TBA

14:00-15:00 Fei Si (Xi'an Jiaotong U): Cohomology of moduli spaces of one dimensional sheaves on the projective plane and enumerative geometry

Recently, many interesting connections between the cohomology of moduli spaces of one dimensional sheaves on the projective plane and enumerative geometry have been discovered. In this talk, I will explain this connection and discuss a method to compute the refined BPS invariant in the sense of Maulik-Toda. This also leads to a proof of an asymptotic version of the “P = C” conjecture, which is a compact analogue of “P=W” conjecture. The talk is based on joint work with Weite Pi, Junliang Shen, and Feinuo Zhang.

15:30-16:30 Jie LIU (CAS): Implosions and symplectic singularities

Symplectic implosion, introduced by Guillemin, Jeffrey, and Sjamaar, is an abelianization construction in symplectic geometry for which a universal object was shown to exist. Motivated by this, Dancer, Kirwan, and Swann later formulated the notion of a universal hyperkähler implosion. This construction turns out to be closely related to symplectic singularities in algebraic geometry and to 3d N=4 quiver gauge theory. In this talk, I will present a birational geometry perspective on these objects and discuss some related open questions concerning so-called partial implosions, as raised by Bourget, Dancer, Grimminger, Hanany, and Zhong. The talk is based on joint work with Baohua Fu.

16:30-17:00 Xiaolong Liu (CAS): Donaldson-Thomas Invariants of [C⁴/Zᵣ]

In this talk, I will begin with a brief review of Donaldson–Thomas theory for Calabi–Yau 3-folds and 4-folds. Then I will talk about our main results about the DT4 invariants invariants for toric Calabi–Yau 4-folds and the toric orbifold [C⁴/Zᵣ], which confirming a conjecture by Cao–Kool–Monavari. Finally, the talk concludes by outlining some further open questions.

17:00-17:30 Zekai Yu (Tsinghua U): On family Floer program and SYZ mirror of Grassmannians