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Large language models, mathematical discovery, and search in the space of strategies: an anecdote

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

https://youtu.be/SPfLEZ-Ghio New Technologies in Mathematics Seminar Speaker: Jordan Ellenberg (UW Madison) Title: Large language models, mathematical discovery, and search in the space of strategies: an anecdote Abstract: I spent a portion of 2023 working with a team at DeepMind on the “cap set problem” – how large can a subset of (Z/3Z)^n be which contains no […]

AQFT Lecture Series | Brian Williams

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic: Algebraic quantum field theory Abstract: Questions and structures in arithmetic that have been / might be amenable to inspiration from QFT, in particular the theory of L-functions and the Langlands program.

Event Series Algebraic Geometry in String Theory Seminar

On (semi)stable reduction and KSBA moduli in positive characteristic

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

Algebraic Geometry in String Theory Seminar Speaker: Iacopo Brivio (Harvard CMSA) Title: On (semi)stable reduction and KSBA moduli in positive characteristic Abstract: The moduli space M_g of genus g stable curves is perhaps the most studied of all algebraic varieties. Its higher-dimensional generalization is the moduli functor M_{n,v} of n-dimension stable varieties of volume v. It […]

AQFT Lecture Series | Minhyong Kim

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: Minhyong Kim, University of Edinburgh Topic: Arithmetic topology and field theory Abstract: The setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”), including the “middle realm” of positive characteristic function fields. Slides (pdf)

AQFT Lecture Series | David Ben-Zvi

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.

Event Series Quantum Matter in Mathematics and Physics Seminar

Quantum Algorithms to Recognize Phases of Matter and Exactly Solvable 2D Models with Anomalous Entanglement Entropy

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

Quantum Matter in Mathematics and Physics Seminar Speaker: Soonwon Choi (MIT) Title: Quantum Algorithms to Recognize Phases of Matter and  Exactly Solvable 2D Models with Anomalous Entanglement Entropy Abstract: In this talk, I will report my two recent results at the intersection of quantum information and strongly interacting phases of matters. In the first half […]

Event Series Member Seminar

The spectrum of some nonlinear random matrices

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

CMSA Member Seminar Speaker: Benjamin McKenna (Harvard) Title: The spectrum of some nonlinear random matrices Abstract: Modern data science often requires one to consider "nonlinear random matrices," a broad term for random-matrix models whose construction involves a nonlinear function applied entrywise. Such models are typically far from classical random matrix theory, and in principle entrywise nonlinearities can affect the […]

AQFT Lecture Series | Brian Williams

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic: Algebraic quantum field theory Abstract: Questions and structures in arithmetic that have been / might be amenable to inspiration from QFT, in particular the theory of L-functions and the Langlands program.

AQFT Lecture Series | David Ben-Zvi

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.

AQFT Lecture Series | David Ben-Zvi

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.

Featured Featured Event Series Colloquium

Machine Learning and Scientific Computing: There is plenty of room in the middle

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

Colloquium Speaker: Petros Koumoutsakos, Harvard SEAS Title: Machine Learning and Scientific Computing: There is plenty of room in the middle Abstract: Over the last thirty years we have experienced more than a billion-fold increase in hardware capabilities and a dizzying pace of acquiring and transmitting massive amounts of data. Scientific Computing and, more lately, Artificial […]

Event Series General Relativity Seminar

Characteristic Initial Value Problem for the 3D Compressible Euler Equations

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

General Relativity Seminar Speaker: Sifan Yu, NUS Title: Characteristic Initial Value Problem for the 3D Compressible Euler Equations Abstract: We present the first result for the characteristic initial value problem of the compressible Euler equations in three space dimensions without any symmetry assumption. We allow presence of vorticity and consider any equation of state. Compared […]