https://youtu.be/ZDMRN0Iyp28 New Technologies in Mathematics Seminar Speaker: Gabe Grand, MIT CSAIL and Dept. of EE&CS Title: LILO: Learning Interpretable Libraries by Compressing and Documenting Code Abstract: While large language models (LLMs) now excel at code generation, a key aspect of software development is the art of refactoring: consolidating code into libraries of reusable and readable programs. […]
Algebraic Geometry in String Theory Seminar Speaker: Jesse Huang, University of Alberta Title: Geometric construction of toric NCRs Abstract: The Rouquier dimension of a toric variety is recently shown to be achieved by the Frobenius pushforward of O via coherent-constructible correspondence. From the perspective of noncommutative geometry, this result leads to a geometric construction of toric NCR […]
AQFT Lecture Series Speaker: An Huang (Brandeis) Title: Tate's thesis and p-adic strings Abstract: I shall explain the relation between a family of deformations of genus zero p-adic string worldsheet action and Tate's thesis, which in particular, gives rise to an attempt of physically deriving quadratic reciprocity. I shall then propose a genus one p-adic […]
AQFT Lecture Series Speaker: John Francis (Northwestern) Title: Integrating braided categories over 3-manifolds Abstract: I’ll describe a form of factorization homology, which gives an invariant of framed 3-manifolds given as input a rigid braided-monoidal category with duals. More generally, the construction gives an invariant of framed n-manifolds from an E_{n-1}-monoidal category with duals. This construction relies […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Semeon Valgushev (Iowa State University) Title: A model for studying the sign problem on quantum computers: Z(3) gauge theory with three fermion flavors in 1+1 dimensions Abstract: Many properties of quantum field theories can be understood with the help of classical numerical methods. Yet there are several […]
CMSA Member Seminar Speaker: Dan Freed (Harvard Mathematics and CMSA) Title: Symmetry in quantum field theory Abstract: In joint work with Greg Moore and Constantin Teleman we show how ideas and techniques in topological field theory apply to the study of symmetry in quantum field theory. I will discuss how this came about, beginning with […]
AQFT Lecture Series Speaker: Dihua Jiang (U Minnesota) Title: Shalika Periods: Functoriality and Arithmetic Abstract: Shalika periods of automorphic forms were first used by H. Jacquet and J. Shalika (1990) in their construction of global zeta integrals for exterior square L-functions of GL(2n). They were also used by S. Friedberg and H. Jacquet (1993) in […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Shu-Heng Shao (SUNY Stony Brook) Title: Cluster state as a noninvertible SPT phase Abstract: We will point out a non-invertible symmetry of the ordinary 1+1d Z2xZ2 cluster Hamiltonian. Therefore, the cluster state can be viewed as a non-invertible SPT phase under this fusion category symmetry, which is […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Diego Delmastro (Simons Center for Geometry and Physics) Title: Monopoles, scattering, generalized symmetries Abstract: Gauge theory is a very mature subject by now. Surprisingly, some of its symmetries have only been properly understood in the last couple of years. Specifically, such theories typically have a very rich set […]
AQFT Lecture Series Speaker: Baiying Liu (Purdue) Title: Recent progress on certain problems related to local Arthur packets of classical groups Abstract: In this talk, I will introduce recent progress on certain problems related to local Arthur packets of classical groups. First, I will introduce a joint work with Freydoon Shahidi towards Jiang's conjecture on the wave […]
AQFT Lecture Series Speaker: Tasho Kaletha (University of Michigan) Title: Covers of reductive groups and functoriality Abstract: When studying problems arising from Langlands' functoriality principle, one often encounters groups that are extensions of complex reductive groups by Galois groups, but that do not necessarily satisfy all properties to be L-groups of reductive groups. We will show, […]
AQFT Lecture Series Speaker: Xinwen Zhu (Stanford) Title: The tame categorical local Langlands correspondence. Abstract: I will discuss a conjectural categorical form of the local Langlands correspondence for p-adic groups and establish the tame part of such correspondence (currently for unramified groups with connected center, and for Q_l-coefficients). I will also explain how to extract a […]