AQFT Lecture Series Speaker: Chen Wan, Rutgers Newark Title: Some examples of the relative Langlands duality Abstract: In this talk I will discuss some examples of the relative Langlands duality (introduced by Ben-Zvi—Sakellaridis—Venkatesh) for strongly tempered spherical varieties. In some cases, I will introduce a relative trace formula comparison for the models and prove the […]

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 […]

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 […]

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 […]

AQFT Lecture Series Speaker: Stephen D. Miller (Rutgers University) Title: What 4-graviton scattering amplitudes had to say about the unitary dual Abstract: I'll give an update on the problem of describing all unitary representations of a Lie group, including joint work with Michael Green and Pierre Vanhove that used intuition from string theory to show […]

AQFT Lecture Series Speaker: Ezra Getzler (Northwestern) Title: Flat connections on derived stacks and the Gauss-Manin connection in derived algebraic geometry

AQFT Lecture Series Speaker: Jayce Getz (Duke University) Title: The Poisson summation conjecture and the fiber bundle method Abstract: The Poisson summation conjecture of Braverman-Kazhdan, L. Lafforgue, Ngo, and Sakellaridis predicts that spherical varieties over a global field admit Schwartz spaces, Fourier transforms, and a generalized Poisson summation formula. In this talk I will state a rough form […]