Today

  • Low-regularity Local Well-posedness of the Elastic Wave System

    Virtual

    General Relativity Seminar Speaker: Sifan Yu, National University of Singapore Title: Low-regularity Local Well-posedness of the Elastic Wave System Abstract: In this talk, I will present a recent work on the elastic wave system in three spatial dimensions. For admissible harmonic elastic materials, we prove a low-regularity local well-posedness result for the corresponding elastic wave equations. For such materials, we can split the […]

  • AlphaProof: when reinforcement learning meets formal mathematics

    Virtual

    https://youtu.be/TFBzP78Jp6A New Technologies in Mathematics Seminar Speaker: Thomas Hubert (Google DeepMind) Title: AlphaProof: when reinforcement learning meets formal mathematics Abstract: Galileo, the renowned Italian astronomer, physicist, and mathematician, famously described mathematics as the language of the universe. Progress since only confirmed his intuition as the world we live in can be described with extreme precision […]

  • Mathematical Physics and Algebraic Geometry Seminar

    From quantum difference equations to Maulik-Okounkov quantum affine algebra

    Virtual

    Mathematical Physics and Algebraic Geometry Seminar *via Zoom only* Speaker: Tianqing Zhu (Tsinghua University) Title: From quantum difference equations to Maulik-Okounkov quantum affine algebra Abstract: Capping operator is one the core subject in the K-theoretic quasimap counting to quiver varieties. It has been shown by Okounkov and Smirnov that it satisfies a system of q-difference […]

  • Unstable Fluids in Expanding Cosmologies

    Virtual

    https://youtu.be/2Aak8YqVsLw General Relativity Seminar Speaker: Elliot Marshal, School of Mathematics at Monash University Title: Unstable Fluids in Expanding Cosmologies Abstract: The FLRW solution is the simplest cosmological model in general relativity, describing a fluid-filled, spatially homogeneous universe. While there is extensive literature in the physics community on cosmological models with a linear equation of state , […]

  • Datasets for Math: From AIMO Competitions to Math Copilots for Research

    Virtual

    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

    The geometry of pure spinor superfield formalism 

    Virtual

    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 […]

  • General Relativity Seminar

    Virtual

    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 […]

  • Discovering Data Structures: Nearest Neighbor Search and Beyond

    Virtual

    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 […]

  • On 5d conformal matter

    Virtual

    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 […]

  • Is every knot isotopic to the unknot?

    Virtual

    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 --- […]

  • Mathematical Physics and Algebraic Geometry Seminar

    Quantum algebras and R-matrices from the equivariant affine Grassmannians

    Virtual

    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 […]

  • The mass angular momentum inequality

    Virtual

    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. […]