Freedman CMSA Seminar *Note: via Zoom only* 2:00-3:30 pm ET Speaker: Michael Freedman, Harvard CMSA Title: Some questions and theorems about closed 3 manifolds embedded in S^4 Abstract: Much is unknown about smooth embeddings of 3-manifolds in S^4; the Schoenflies problem (Is there only one smoothly embedded 3-sphere in S^4 up to isotopy?) is […]
https://youtu.be/qC60ZgsIFvk New Technologies in Mathematics Seminar Speaker: Huajian Xin, DeepSeek Title: Frontier of Formal Theorem Proving with Large Language Models: Insights from the DeepSeek-Prover Series Abstract: Recent advances in large language models have markedly influenced mathematical reasoning and automated theorem proving within artificial intelligence. Yet, despite their success in natural language tasks, these models face notable obstacles […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Victor Kac (MIT) Title: Representations of minimal W-algebras: unitarity and modular invariance Abstract: The minimal W-algebras, obtained by quantum Hamiltonian reduction from affina vertex algebras, form the most interesting class of vertex algebras, which includes all superconformal algebras: Virasoro, Neveu-Scharz, N=2, 3, 4, and big N=4. I will […]
General Relativity Seminar Speaker: Xuantao Chen, Johns Hopkins University Title: Formation of Trapped Surfaces in Geodesic Foliation Abstract: We reprove the formation of trapped surfaces for the Einstein vacuum equation using the incoming geodesic foliation. All previous results, starting with the seminal work of Christodoulou, make use of the double null foliation. In the new […]
Freedman CMSA Seminar *Note: via Zoom only* 2:00-3:30 pm ET Speaker: Matt Hastings, Microsoft Quantum Program Title: Invertible Phases of Matter and Quantum Cellular Automata: Dimensions One to Three Abstract: A Quantum Cellular Automaton (QCA) is a *-automorphism of the algebra of local operators. While local quantum circuits provide one example of QCA, we are […]
Mathematical Physics and Algebraic Geometry Seminar Speaker: Hamza Ahmed, Northeastern University Title: Heterotic Little String Theories and Inequivalent Genus-One Fibrations Abstract: Little String Theories (LSTs) are 6D Supersymmetric quantum field theories (SQFTs) with an additional physical relation called T-duality. This enables us to arrange them into equivalence classes, where each equivalence class has 6D LSTs that lead […]
https://youtu.be/1QwTqfiqxTw CMSA/Tsinghua Math-Science Literature Lecture Date: Wednesday, September 18, 2024 Time: 9:00 - 10:30 am ET Location: Via Zoom Webinar Speaker: Marc Lackenby, University of Oxford Title: The complexity of knots Abstract: In his final paper in 1954, Alan Turing wrote `No systematic method is yet known by which one can tell whether two knots are […]
https://youtu.be/zxjuAlzuW78 General Relativity Seminar Speaker: Albert Law, Stanford Title: Real-time observables in horizon thermodynamics Abstract: Euclidean black hole 1-loop determinants have recently been shown to compute a renormalized thermal canonical partition function for free fields in Lorentzian signature. A key ingredient is a 'quasinormal mode (QNM) character', whose Fourier transform equals the renormalized spectral density of the […]
Algebraic Geometry in String Theory Seminar Speaker: Alessandro Chiodo, IMJ-Paris Rive Gauche (Jussieu) Title: The logarithmic double ramification locus Abstract: Given a family of smooth curves C -> S with a line bundle L on C, it is natural to study the locus of points x in S where L_x is trivial on C_x. When the family […]
General Relativity Seminar Speaker: Chris Fewster, York University Title: Quantum Energy Inequalities Abstract: Many theorems of mathematical relativity, including singularity and positive mass theorems, include the classical energy conditions among their hypotheses. However, matter described by quantum field theory can violate the classical energy conditions and indeed there is no lower bound to the energy […]
General Relativity Seminar Speaker: Xiaoyi Liu, UCSB Title: New Well-Posed Boundary Conditions for Semi-Classical Euclidean Gravity Abstract: We consider four-dimensional Euclidean gravity in a finite cavity. We point out that there exists a one-parameter family of boundary conditions, parameterized by a real constant, where a suitably Weyl-rescaled boundary metric is fixed, and all give a […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Sungwoo Hong, Korea Advanced Institute of Science and Technology (KAIST) Title: Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem Abstract: In this talk, I will discuss a new solution to the strong CP problem, one of the most important and challenging problems, […]