Can Transformers Do Enumerative Geometry?

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/zvvUFPOwseo New Technologies in Mathematics Seminar Speaker: Baran Hashemi, Technical University of Munich Title: Can Transformers Do Enumerative Geometry? Abstract: How can Transformers model and learn enumerative geometry? What is a systematic procedure for using Transformers in abductive knowledge discovery within a mathematician-machine collaboration? In this work, we introduce a Neural Enumerative Reasoning model for computation of ψ-class intersection numbers on the moduli space […]

3d Mirror Symmetry is 2d Mirror Symmetry

Virtual

Mathematical Physics and Algebraic Geometry Seminar Speaker: Ki Fung Chan (Chinese University of Hong Kong) Title: 3d Mirror Symmetry is 2d Mirror Symmetry Abstract: We introduce an approach to studying 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex […]

Homological Invariants in Translation-Invariant Pauli Stabilizer Codes

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Member Seminar Speaker: Bowen Yang Title: Homological Invariants in Translation-Invariant Pauli Stabilizer Codes Abstract: Pauli stabilizer codes serve as foundational models in quantum error correction and the study of exotic quantum phases. In this talk, we explore the application of homological methods to translationally invariant Pauli stabilizer codes with qudits of varying dimensions. We introduce a series of invariants, […]

The Extended Vertex Algebra of 4d N = 2 SCFTs and their Higher Products

Hybrid - G10

Quantum Field Theory and Physical Mathematics Seminar Speaker: Mitch Weaver, KAIST Title: The Extended Vertex Algebra of 4d N = 2 SCFTs and their Higher Products Abstract: Every 4d N=2 superconformal field theory contains a BPS protected sub-algebra of local operators that has the structure of a vertex operator algebra (VOA). This VOA is identified […]

Quantum K-theory at roots of unity

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Colloquium Speaker: Andrey Smirnov, University of North Carolina at Chapel Hill Title: Quantum K-theory at roots of unity Abstract: In this talk, I will discuss a version of quantum K-theory introduced by A.Okounkov, which can be defined through quasimap counts. In this framework, the quantum K-theory ring is obtained as a specialization of the equivariant […]

Positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds

CMSA G102 20 Garden Street, Cambridge, MA

General Relativity Seminar Speaker: Aghil Alaee, Clark University Title: Positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds Abstract: One of the fundamental conjectures in mathematical relativity is the positivity of total mass (if it is defined!) for complete non-compact Riemannian manifolds assuming appropriate lower bounds on scalar curvature. This conjecture has been proved for […]

Member Seminar

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Member Seminar Speaker: Han Shao