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Joint BHI/CMSA Foundation Seminar Location: BHI Seminar Room Speaker: Uri Kol, Harvard CMSA Title: Quantum Criticality in Black Hole Dynamics Abstract: Black hole perturbation theory captures a few important effects in the dynamics of binary mergers, such as tidal deformations and the decay of ringdown modes, as well as the physics of the photon ring. […]
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Vivek Saxena (YITP Stony Brook and NHETC Rutgers) Title: A homotopy of 2d SCFTs and an implication for Topological Modular Forms Abstract: The Segal-Stolz-Teichner conjecture states that there exists an isomorphism between deformation classes of two-dimensional N=(0,1) superconformal field theories (SCFTs) and generalized cohomology classes known as […] |
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Geometry and Quantum Theory Seminar Speaker: Keyou Zeng, Harvard CMSA Title: Review of the excision property in factorization homology |
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Mathematical Physics and Algebraic Geometry Seminar Speaker: Zichang Wang (Tsinghua University) Title: Stochastic Process and Noncommutative Geometry Abstract: We explain a stochastic approach to topological field theory and present a case study of quantum mechanical model and its relation to noncommutative geometry. For detail reference, see https://arxiv.org/abs/2501.12360
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Thursday, Jan. 30, 2025 4:00 pm All CMSA and Math affiliates are invited. |
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Member Seminar Speaker: Iacopo Brivio Title: Smooth projective fibrations over the projective line and their sections Abstract: Suppose $f\colon X\to \mathbf{CP}^1$ is a smooth projective fibration, is it then true that $f$ has a section? This deceptively simple result was established by Seidel and McDuff using deep methods of symplectic geometry. Alex Pieloch recently generalized this to morphisms […] |
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Colloquium Speaker: Nick Trefethen, Harvard University Title: Rational approximation and the AAA algorithm Approximation by rational functions used to be mainly a theoretical subject, but with the introduction of the AAA algorithm in 2018, it became computationally practical and indeed easy. The implications for what we can do numerically are enormous. This talk will outline […]
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Juven Wang (LIMS, Royal Institution) Title: Topological to Gravitational Leptogenesis, via Ultra Unification Abstract: We propose a new mechanism for leptogenesis, named Topological Leptogenesis, in which dark matter consists of topological order, so gapped anyon excitations decay to generate the Standard Model lepton asymmetry. Topological Leptogenesis is in […] |
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General Relativity Seminar Speaker: Gilbert Weinstein, Ariel University Title: The mass angular momentum inequality Abstract: We show that either there is a counterexample to black hole uniqueness, in the form of a regular axisymmetric stationary vacuum spacetime with an asymptotically flat end and multiple degenerate horizons which is ‘ADM stable’, or the following statement holds. […]
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Geometry and Quantum Theory Seminar Speaker: Sunghyuk Park, Harvard CMSA Title: Blob homology |
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CMSA Q&A Seminar Speaker: Subir Sachdev, Harvard University Topic: What is a quantum critical region? |
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Mathematical Physics and Algebraic Geometry Seminar Speaker: Wenjun Niu, Perimeter Institute Title: Quantum algebras and R-matrices from the equivariant affine Grassmannians Abstract: In this talk, I will explain my joint work with R. Abedin, in which we construct, for each Lie algebra g, a Hopf algebra and a spectral R-matrix satisfying quantum Yang-Baxter equation. This […] |
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Freedman CMSA Seminar *via Zoom* Speaker: Sergey Melikhov, Steklov Math Institute Title: Is every knot isotopic to the unknot? Abstract: The following problem was stated by D. Rolfsen in his 1974 paper; according to R. Daverman it was being discussed since the mid-60s. Is every knot in $S^3$ isotopic (=homotopic through embeddings) to a PL knot --- […] |
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Colloquium Speaker: Michael Douglas, Harvard CMSA Title: AI in math and theoretical physics: status and prospects Abstract: AI is making great progress and has the potential to change how we work in unprecedented ways. In this talk I will survey a few recent works which illustrate the state of the art, some from my own research, […] 
Joint BHI/CMSA Foundation Seminar Location: BHI seminar room Speaker: Noa Zilberman (Princeton University) Title: Quantum Effects Inside Black Holes Abstract: Astrophysical black holes are known to be rotating. Within classical General Relativity, the simplest spacetime solution (the Kerr solution) describing a rotating black hole reveals a traversable passage through an inner horizon – which in […]
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Mario De Marco (UL Brussels) Title: On 5d conformal matter Abstract: SCFTs with 8 supercharges lie at the sweet spot of the classification program of susy scale-invariant theories: with this amount of susy, the classification is in principle achievable, despite being non-trivial. In this talk, I will present […] |
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General Relativity Seminar Speaker: Liam Urban (University of Vienna) Title: On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system Abstract: In recent years, the formation of Big Bang singularities has been increasingly well understood in presence of scalar-field matter, which suppresses the geometric oscillations that one generically expects otherwise. From a cosmological perspective, […]
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Geometry and Quantum Theory Seminar Speaker: Ben Gammage, Harvard University Title: Discussion of Integrating quantum groups over surfaces https://arxiv.org/abs/1501.04652 |
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CMSA Q&A Seminar Speaker: Javier Gomez-Serrano, Brown University Topic: Please tell us about the Millennium prize problem for Navier-Stokes and segue from that into ML?
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https://youtu.be/_BgheUBw_Lw New Technologies in Mathematics Seminar Speaker: Omar Salemohamed, Mila Title: Discovering Data Structures: Nearest Neighbor Search and Beyond Abstract: As neural networks learn increasingly sophisticated tasks—from image recognition to mastering the game of Go—we ask: can deep learning discover data structures entirely from scratch? We introduce a general framework for data structure discovery, which adapts to […] |
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https://youtu.be/jEDFrIvRowc On February 13, 2025 the CMSA hosted the sixth annual Ding Shum Lecture, given by Irit Dinur, Institute for Advanced Study. Location: Harvard Science Center Hall A & via Zoom Webinar Speaker: Irit Dinur, Institute for Advanced Study Title: Expanders from local to global Abstract: Imagine a network—like a social network, a transportation […] 
Mathematical Physics and Algebraic Geometry Seminar Speaker: Damian Van de Heisteeg, Harvard CMSA Title: The Structure of the Flux Landscape Abstract: Identifying flux vacua in string theory with stabilized complex structure moduli presents a significant challenge, necessitating the minimization of a scalar potential complicated by infinitely many exponential corrections. In order to obtain exact results we […] |
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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 […] |
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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 […]
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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 |
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CMSA Q&A Seminar Speaker: Phillip Matchett Wood, Harvard University Topic: Info session on the CMSA/Mathematics Summer REU Program (Research Experience for Undergraduates) |
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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 […] |
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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 […] |
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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 […]
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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 |
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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 […] |
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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 […] |
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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 […] |
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