Colloquium Speaker: Russell Miller, CUNY Title: Computability on $\mathbb R$ and other continuum-size structures Abstract: We begin by recalling the notion of a computable function on the real numbers $\mathbb R$, developed independently by Gregorczyk and Lacombe over sixty years ago. Using this notion, we note that the real numbers that are themselves computable form […]
General Relativity Seminar Speaker: Tin Yau Tsang, Courant Institute, New York University Title: Mass for the large and for the small Abstract: Seeking a meaningful geometric (physical) invariant to describe a spacetime has sparked research in both mathematics and physics. In this talk, we will first see the fundamental progress made by Schoen-Yau and Witten […]
Geometry and Quantum Theory Seminar Speakers: Sunghyuk Park and Vasily Krylov, Harvard CMSA Title: Factorization Homology
https://youtu.be/o7uac6DuzcQ New Technologies in Mathematics Seminar Speaker: Leyan Pan, Georgia Tech Title: Can Transformers Reason Logically? A Study in SAT-Solving Abstract: Transformer-based LLMs have apparently demonstrated capabilities that resembles human reasoning. In our recent work, we investigated the Boolean reasoning abilities of decoder-only Transformers equipped with Chain-of-Thought, establishing that a Transformer model can decide all […]
Special Seminar Speaker: Jeongwan Haah, Stanford University Title: Quantum Cellular Automata Abstract: A discrete time evolution on lattice systems that has a notion of lightcone is called a quantum cellular automaton. Lattice translation in 1D is a well-known example of QCA that is nontrivial in the sense that it is not a local Hamiltonian evolution. […]
Member Seminar Speaker: Robert Moscrop Title: On the Coulomb branch scaling dimensions of 4d N=2 SCFTs Abstract: To each four dimensional N=2 superconformal field theory of rank-r, one can associate an r-tuple of numbers given by the scaling dimensions of a special set of protected operators whose VEVs parameterise the Coulomb branch. In this talk, I will demonstrate […]
Freedman CMSA Seminar Speaker: Michael Freedman Title: A simple model for universal quantum computation Abstract: I’ll present joint (unpublished) work with Charlie Marcus on a surprisingly simple – and potentially practical (?)– model for universal quantum computation whose only quantum primitive is the ability to measure a pair of adjacent electrons into either singlet (spin=0) […]
Joint CMSA/BHI Foundation Seminar Location: BHI seminar room Speaker: Noa Zilberman, Princeton 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 turn […]
https://youtu.be/gtvSMhYhD3w General Relativity Seminar Speaker: Nikolaos Athanasiou, University of Crete, Greece Title: The Einstein-Vlasov system in a large data regime Abstract: In this talk, our object of study is the Einstein-Vlasov system with a massless Vlasov matter field. Complementing various important works obtaining the stability of Minkowski spacetime as a solution to this system, we […]
https://youtu.be/_LDiw4Lq-9c Mathematical Physics and Algebraic Geometry Seminar Speaker: Daniel Pomerleano (UMass Boston) Title: The Quantum GIT conjecture Abstract: Let X be a Fano variety with G action. The quantum GIT conjecture predicts a formula for the quantum cohomology of "anti-canonical" GIT quotients X//G in terms of the equivariant quantum cohomology of X. The formula is […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Yi-Hsien Du (MIT) Title: Nonlinear Bosonization of (Non-)Fermi Liquids Abstract: Fermi liquid theory is a cornerstone of condensed matter physics. I will show how to formulate Fermi liquid theory as an effective field theory. In this approach, the space of low-energy states of a Fermi liquid is identified with a […]
https://youtu.be/O2U7elI0mbo Mathematical Physics and Algebraic Geometry Seminar Speaker: Artan Sheshmani (BIMSA) Title: Tyurin degenerations, Relative Lagrangian foliations and categorification of DT invariants Abstract: We discuss construction of a derived Lagrangian intersection theory of moduli spaces of perfect complexes, with support on divisors on compact Calabi-Yau threefolds. Our goal is to compute deformation invariants associated to a fixed […]