Member Seminar Speaker: Houcine Ben Dali, Harvard CMSA Title: Jack polynomials and enumeration of non-orientable maps Abstract: A map is a graph embedded on a surface, which may be orientable or not. The representation theory of the symmetric group can be used to write the generating series of maps on orientable surfaces using Schur symmetric functions. Several […]
https://youtu.be/T9D4heG-OSU General Relativity Seminar Speaker: Maximilian Ofner, University of Vienna Title: Stability and Instability of Relativistic Fluids in Slowly Expanding Spacetimes Abstract: Homogeneous and isotropic solutions to the relativistic Euler equations are known to be unstable on a Minkowski background. However, for FLRW models with a fast expansion rate, relativistic fluids stabilize. This scenario suggests […]
Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard CMSA and Math Title: Algebras of "symmetries" in QFT and applications to solitons (1) https://arxiv.org/abs/2403.08883
CMSA Q&A Seminar Speaker: Phillip Matchett Wood, Harvard University Topic: Info session on the CMSA/Mathematics Summer REU Program (Research Experience for Undergraduates)
Mathematical Physics and Algebraic Geometry Seminar Speaker: Simone Noja (Heidelberg University) Title: The geometry of pure spinor superfield formalism Abstract: In this talk I will present a mathematical perspective on the pure spinor superfield formalism. In particular, I will discuss how field multiplets in supersymmetric theories can be constructed mathematically from geometric data associated with certain […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Liyuan Chen ( Harvard) Title: Toward constructing a large-scale quantum computer based on TQFT Abstract: Topological quantum computation, motivated by topological quantum field theory (TQFT), offers a promising path toward fault-tolerant universal quantum computation. However, the practical realization of such a system remains challenging due to the […]
https://youtu.be/g8V7VeQwDtk General Relativity Seminar Speaker: Warren Li ( Princeton University) Title: BKL bounces outside homogeneity Abstract: In work spanning the late 20th century, physicists Belinski, Khalatnikov and Lifshitz (BKL) proposed a general ansatz for solutions to the Einstein (vacuum) equations near singularities. They suggest that the spacetime dynamics at different spatial points on the singularity decouple […]
Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard CMSA and Math Title: Algebras of "symmetries" in QFT and applications to solitons (2) https://arxiv.org/abs/2403.08883
https://youtu.be/XUp3IM66AQA New Technologies in Mathematics Seminar Speaker: Simon Frieder, Oxford Title: Datasets for Math: From AIMO Competitions to Math Copilots for Research Abstract: This talk begins with a brief exposition of the AI Mathematical Olympiad (AIMO) on Kaggle, now in its second iteration, outlining datasets and models available to contestants. Taking a broader perspective, I then […]
Mathematical Physics and Algebraic Geometry Seminar Speaker: Wei Bu (Harvard University) Title: 2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity Abstract: In this talk, I will present a simple chiral 2d Lagrangian living on a 2d celestial sphere on the null boundary of 4d Minkowski space and briefly mention its first principal […]
Member Seminar Speaker: Matteo Parisi Title: The Combinatorics of the Amplituhedron – Tiles, Tilings, and Cluster Algebras Abstract: The amplituhedron is the image of the positive Grassmannian—the region of the Grassmannian where all Plücker coordinates are nonnegative—under a totally positive linear map. It is a far-reaching generalization of cyclic polytopes and hyperplane arrangements, and the positive […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Kai Xu, Harvard Title: Finite Landscape of 6d N=(1,0) Supergravity Abstract: We present a bottom-up argument showing that the number of massless fields in six-dimensional quantum gravitational theories with eight supercharges is uniformly bounded. Specifically, we show that the number of tensor multiplets is bounded by T≤193, and the […]