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.

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 […]

What Algorithms can Transformers Learn? A Study in Length Generalization

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

New Technologies in Mathematics Seminar Speaker: Preetum Nakkiran, Apple Title: What Algorithms can Transformers Learn? A Study in Length Generalization Abstract: Large language models exhibit many surprising “out-of-distribution” generalization abilities, yet also struggle to solve certain simple tasks like decimal addition. To clarify the scope of Transformers' out-of-distribution generalization, we isolate this behavior in a […]

Quantum Algebra of Chern-Simons Matrix Model and Large N Limit

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

Quantum Matter in Mathematics and Physics Seminar Speaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) Title: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit Abstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons […]

Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors

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

Quantum Matter in Mathematics and Physics Seminar Speaker: Susanne Yelin (Harvard) Title: Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors Abstract: Simulations of quantum chemistry and quantum materials are believed to be among the most important potential applications of quantum information processors, but realizing practical quantum advantage for such problems is challenging. […]

Event Series Member Seminar

Symmetries and algebraicity in the flux landscape

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

CMSA Member Seminar Speaker: Damian van de Heisteeg (Harvard CMSA) Title: Symmetries and algebraicity in the flux landscape Abstract: In this talk I consider potentials coming from fluxes in string theory. The minima of these potentials trace out special loci in the moduli space of Calabi-Yau manifolds. I discuss the structure that underlies these minima from a Hodge-theoretic […]

Event Series General Relativity Seminar

Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes

Virtual

General Relativity Seminar Speaker: He Mei, Shenzhen University Title: Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes Abstract: In this talk, I will present a work on the long time dynamics of solutions to the defocusing semilinear wave equations on the Schwarzschild black hole spacetimes. For sufficiently smooth and localized initial data, we show that the […]